One-Dimensional Fermi liquids

Abstract

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one dimension because of the Peierls divergence and because of charge-spin separation. It is replaced by a Luttinger liquid whose elementary excitations are collective charge and spin modes, based on the exactly solvable Luttinger model. I review this model and various solutions with emphasis on bosonization (and its equivalence to conformal field theory), and its physical properties. The notion of a Luttinger liquid implies that all gapless 1D systems share these properties at low energies. Chapters 1 and 2 of the article contain an introduction and a discussion of the breakdown of Fermi liquid theory. Chapter 3 describes in detail the solution of the Luttinger model both by bosonization and by Green's functions methods and summarizes the properties of the model, expressed thorugh correlation functions. The relation to conformal field theory is discussed. Chapter 4 of the article introduces the notion of a Luttinger liquid. It describes in much detail the various mappings applied to realistic models of 1D correlated fermions, onto the Luttinger model, as well as important corrections to the Luttinger model properties discussed in Ch.3. Chapter 5 describes situations where the Luttinger liquid is not a stable fixed point, and where spin or charge gaps open in at least one channel. Chapter 6 discusses multi-band and multichain problems, in particular the stability of a Luttinger liquid with respect to interchain hopping. Ch. 7 gives a brief summary of experimental efforts to uncover Luttinger liquid correlations in quasi-1D materials.

uuencoded Latex files and postscript figures, one Readme-file approx 160 pages + 13 figures; to be published by Reports on Progress in Physics

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• Holographic quantum liquids in 1+1 dimensions
• Noise Correlations in one-dimensional systems of ultra-cold fermions
• Retardation effects in the Holstein-Hubbard chain at half-filling
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• Ground state and excitation of an asymmetric spin ladder model
• Dynamical Transition in Interaction Quenches of the One-Dimensional Hubbard Model
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• Quasi-particles and their absence in photoemission spectroscopy
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• One-dimensional quantum wires: A pedestrian approach to bosonization
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• Orbital current patterns in doped two-leg Cu-O Hubbard ladders
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• Symmetry-Breaking Phase Transition without Peierls Mechanism in Conducting Monoatomic Chains
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• Superconductivity in the CuO double chain of Pr_2Ba_4Cu_7O_15-delta on the basis of Tomonaga-Luttinger liquid theory
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Low-temperature conductivity of quasi-one-dimensional conductors: Luttinger liquid stabilized by impurities
• The Luther-Emery liquid: Spin gap and anomalous flux period
• Split Fermi seas in one-dimensional Bose fluids
• Atomic scale variation of electron tunneling into a Luttinger liquid ? : High resolution scanning tunneling spectroscopy study on Au/Ge(001)
• Scaling and criticality of the Kondo effect in a Luttinger liquid
• Correlation functions for 1d interacting fermions with spin-orbit coupling
• Nature of ground states in one-dimensional electron-phonon Hubbard models at half-filling
• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Theory of measuring the "Luttinger-g" of a one-dimensional quantum dot
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• The spectral function of the Tomonaga-Luttinger model revisited: power laws and universality
• Non-Fermi-liquid behavior due to short range order
• Time-dependent evolution of two coupled Luttinger liquids
• Spin and Charge Luttinger-Liquid Parameters of the One-Dimensional Electron Gas
• Finite-size effects in Luther-Emery phases of Holstein and Hubbard models
• Ground-state phase diagram of the extended two-leg $t$-$J$ ladder
• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Orthogonality catastrophe in a one-dimensional system of correlated electrons
• Lowest Landau level bosonization
• Probing one-dimensional systems via noise magnetometry with single spin qubits
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Spin-charge separation and simultaneous spin and charge Kondo effect
• Density waves in strongly correlated quantum chains
• Microscopic versus mesoscopic local density of states in one-dimensional localization
• The Fermi Liquid as a Renormalization Group Fixed Point: the Role of Interference in the Landau Channel
• Deconfined quantum criticality in spin-1/2 chains with long-range interactions
• One-dimensional few-electron effective Wigner crystal in quantum and classical regimes
• Dyson Equation Approach to Many-Body Greens Functions and Self-Consistent RPA, First Application to the Hubbard Model
• Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model
• Nonlinear spectra of spinons and holons in short GaAs quantum wires
• Doped AB_2 Hubbard Chain: Spiral, Nagaoka and RVB States, Phase Separation and Luttinger Liquid Behavior
• Quantum phase diagrams of fermionic dipolar gases for an arbitrary orientation of dipole moment in a planar array of 1D tubes
• Spin-Gap Phases in Tomonaga-Luttinger Liquids
• Quantum Fields on Star Graphs with Bound States at the Vertex
• Variational cluster approach to ferromagnetism in infinite dimensions and in one-dimensional chains
• Rotating BTZ Black Holes and One Dimensional Holographic Superconductors
• Persistent current and Drude weight in mesoscopic rings
• Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Is spin-charge separation observable in a transport experiment?
• Electron-phonon interactions on a single-branch quantum Hall edge
• Correlation Functions and Coulomb Blockade of Interacting Fermions at Finite Temperature and Size
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Resonant Raman Scattering by Charge Density and Single Particle Excitations in Semiconductor Nanostructures: A Generalized Interband-Resonant Random-Phase-Approximation Theory
• Quench-induced entanglement and relaxation dynamics in Luttinger liquids
• Correlations in the Sine-Gordon Model with Finite Soliton Density
• Finite temperature spectral-functions of strongly correlated one-dimensional electron systems
• Features of spin-charge separation in the equilibrium conductance through finite rings
• Designing 1D correlated-electron states by non-Euclidean topography of 2D monolayers
• Beyond-Luttinger-Liquid thermodynamics of a one-dimensional contact repulsive Bose gas
• A Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling
• Interplay of Site and Bond Electron-Phonon Coupling in One Dimension
• Interaction-induced first order correlation between spatially-separated 1D dipolar fermions
• Emergence of Irrationality: Magnetization Plateaux in Modulated Hubbard Chains
• Fractional charge oscillations in quantum spin Hall quantum dots
• Interchain coherence of coupled Luttinger liquids at all orders in perturbation theory
• Designing quantum many-body matter with conditional generative adversarial networks
• One dimensional strongly interacting Luttinger liquid of lattice spinless fermions
• Transport in Nanotubes: Effect of Remote Impurity Scattering
• Quantum Field Theory on Star Graphs
• Bosonization study of quantum phase transitions in the one-dimensional asymmetric Hubbard model
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• Directed-Loop Quantum Monte Carlo Method for Retarded Interactions
• Electron Quantization in Broken Atomic Wires
• Charge and energy fractionalization mechanism in one-dimensional channels
• Shot noise of a quantum dot with non-Fermi liquid correlations
• Numerical Investigation of Spin Excitations in a Doped Spin Chain
• From Luttinger liquid to Altshuler-Aronov anomaly in multi-channel quantum wires
• Approaching Many-Body Localization from Disordered Luttinger Liquids via the Functional Renormalization Group
• Luttinger model approach to interacting one-dimensional fermions in a harmonic trap
• Spinless fermions ladders at half filling
• Steady-state properties of a thermodynamically unbalanced Fermi gas
• A renormalization group analysis of the one-dimensional extended Hubbard model
• Bethe Ansatz solution of a new class of Hubbard-type models
• Dimensional Crossovers in the Doped Ladder System: Spin Gap, Superconductivity and Interladder Coherent Band Motion
• Construction by bosonization of a fermion-phonon model
• Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling
• Modeling 1D structures on semiconductor surfaces: Synergy of theory and experiment
• Combined Analysis of Numerical Diagonalization and Renormalization Group methods for the One-Dimensional $U$-$V$ Model at Quarter filling
• Antiholons in one-dimensional t-J models
• Insulator-to-metal crossover induced by local spin fluctuations in strongly correlated systems
• Ferromagnetism and Superconductivity in the multi-orbital Hubbard Model: Hund's Rule Coupling versus Crystal-Field Splitting
• Long time correlations of nonlinear Luttinger liquids
• Two-component Fermi gas in a one-dimensional harmonic trap
• Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
• Persistent currents in multicomponent Tomonaga-Luttinger liquid: application to mesoscopic semiconductor ring with spin-orbit interaction
• Non-equilibrium Plasmons in a Quantum Wire Single Electron Transistor
• Unconventional magnetoresistance in long InSb nanowires
• Collective excitation of quantum wires and effect of spin-orbit coupling in the presence of a magnetic field along the wire
• From the moving piston to the dynamical Casimir effect: explorations with shaken condensates
• Ga-induced atom wire formation and passivation of stepped Si(112)
• Spectral Function of 2D Fermi Liquids
• Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
• Dynamic scaling in the vicinity of the Luttinger liquid fixed point
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• Anomalies in the Fermi surface and band dispersion of quasi-one-dimensional CuO chains in the high-temperature superconductor YBa2Cu4O8
• Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices
• Breakdown of Fermi liquid behavior near the hot spots in a two-dimensional model: A two-loop renormalization group analysis
• One-Dimensional Electron Liquid in an Antiferromagnetic Environment: Spin Gap from Magnetic Correlations
• Coulomb drag between quantum wires with different electron densities
• Are the renormalized band widths in TTF-TCNQ of structural or electronic origin? - An angular dependent NEXAFS study
• Dephasing in Rashba spin precession along mutlichannel quantum wires and nanotubes
• NMR evidence for Friedel-like oscillations in the CuO chains of ortho-II YBa${}_2$Cu${}_3$O${}_{6.5}$
• Spin effects in transport through non-Fermi liquid quantum dots
• One-dimensional fermionic systems after interaction quenches and their description by bosonic field theories
• Possible co-existence of local itinerancy and global localization in a quasi-one-dimensional conductor
• Impenetrable SU(N) fermions in one-dimensional lattices
• Fermi-edge singularity in a spin-incoherent Luttinger liquid
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Gold-induced nanowires on the Ge(100) surface yield a 2D, and not a 1D electronic structure
• Physics in one dimension: theoretical concepts for quantum many-body systems
• Phonon renormalization from local and transitive electron-lattice couplings in strongly correlated systems
• Exact ground states and correlation functions of chain and ladder models of interacting hardcore bosons or spinless fermions
• Calibration of a single atom detector for atomic micro chips
• Luttinger Parameter g for Metallic Carbon Nanotubes and Related Systems
• Boundary effects on one-particle spectra of Luttinger liquids
• Quasi one-dimensional organic conductors: from Fröhlich conductivity and Peierls insulating state to magnetically-mediated superconductivity, a retrospective
• Charge transport of a spin-orbit-coupled Luttinger liquid
• Frequency scaling of photo-induced tunneling
• Role of a higher dimensional interaction in stabilizing charge density waves in quasi-1D NbSe${}_3$ revealed by angle-resolved photoemission spectroscopy
• Spectral Functions of 1D Hubbard Rings with Varying Boundary Conditions
• Correlation functions for a two-dimensional electron system with bosonic interactions and a square Fermi surface
• Sound of Fermi arcs
• Landau's quasi-particle mapping: Fermi liquid approach and Luttinger liquid behavior
• Recursive Method for the Density of States in One Dimension
• Friedel oscillations in a Luttinger liquid with long-range interactions
• Effective continuum model of twisted bilayer GeSe and origin of emerging one-dimensional mode
• Domain wall scattering in an interacting one-dimensional electron gas
• Density-functional theory approach to the thermodynamics of the harmonically confined one-dimensional Hubbard model
• Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model
• Luttinger liquid versus charge density wave behaviour in the one-dimensional spinless fermion Holstein model
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Possible Sliding Regimes in Twisted Bilayer WTe${}_2$
• Treatment of backscattering in a gas of interacting fermions confined to a one-dimensional harmonic atom trap
• Transient and Sharvin resistances of Luttinger liquids
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Multichannel Kondo Effect in an Interacting Electron System: Exact Results for the Low-Temperature Thermodynamics
• Phase Diagram of the Holstein-Hubbard Two-Leg Ladder
• Electron localization in one dimension obtained from combined exact diagonalization - ab initio approach
• Post-Quantum Quench Growth of Renyi Entropies in Low Dimensional Continuum Bosonic Systems
• Pseudospin ferromagnetism in double-quantum-wire systems
• Spectral functions of two-band spinless fermion and single-band spin-1/2 fermion models
• Spin and charge density waves in the quasi-one-dimensional KMn6Bi5
• One-dimensional electron fluid at high density
• Plasmon excitations and 1D - 2D dimensional crossover in quantum crossbars
• Elementary electronic excitations in one-dimensional continuum and lattice systems
• Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
• Fundamental properties, localization threshold, and the Tomonaga--Luttinger behavior of electrons in nanochains
• Many-particle correlations in non-equilibrium Luttinger liquid
• U-J Synergy Effect for the High Tc Superconductors
• Renormalization-group study of a magnetic impurity in a Luttinger liquid
• Nonequilibrium transport through quantum-wire junctions and boundary defects for free massless bosonic fields
• K2Mo3As3 is a Multi-Gap Electron-Phonon Superconductor
• Does Luttinger liquid behaviour survive in an atomic wire on a surface?
• The Two-Band Luttinger Liquid with Spin-Orbit Coupling: Applications to Monatomic Chains on Surfaces
• Electronic structure and signature of Tomonaga-Luttinger liquid state in epitaxial CoSb${}_{1-x}$ nanoribbons
• Restricted Wiedemann-Franz law and vanishing thermoelectric power in one-dimensional conductors
• Interaction effects in multi-subband quantum wires
• Precursors of Mott insulator in modulated quantum wires
• Power laws in a 2-leg ladder of interacting spinless fermions
• Dominant Superconducting Fluctuations in the One-Dimensional Extended Holstein-Extended Hubbard model
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Phase separation and the existence of superconductivity in a one-dimensional copper-oxygen model
• Spin and charge dynamics of stripes in doped Mott insulators
• Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains
• Electronic instabilities in 3D arrays of small-diameter (3,3) carbon nanotubes
• Properties of superconductor - Luttinger liquid hybrid systems
• Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
• Friedel oscillations in a gas of interacting one-dimensional fermionic atoms confined in a harmonic trap
• Low-energy local density of states of the 1D Hubbard model
• Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy
• Impurity-induced stabilization of Luttinger liquid in quasi-one-dimensional conductors
• Confinement and transverse conductivity in coupled Luttinger liquids
• Probing spin-charge separation using spin transport
• Charge Gap in the One-Dimensional Extended Hubbard Model at Quarter Filling
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• Electronic states, Mott localization, electron-lattice coupling, and dimerization for correlated one-dimensional systems. II
• Thermodynamic and spectral properties of adiabatic Peierls chains
• Spectral functions in a magnetic field as a probe of spin-charge separation in a Luttinger liquid
• Charge Density Wave Formation in the Low-Temperature-Tetragonal Phase of Cuprates
• Tomonaga Luttinger liquid in the topological edge channel of multilayer FeSe
• Tomonaga-Luttinger features in the resonant Raman spectra of quantum wires
• The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions
• Crystallization of fractional charges in a strongly interacting quasi-helical quantum dot
• Dimensional crossover in a Fermi gas from one to effective six dimensions and a cross-dimensional Tomonaga-Luttinger model
• Equivalent bosonic theory for the massive Thirring model with non-local interaction
• Spin-excitations of the quantum Hall ferromagnet of composite fermions
• Fragmented superfluid due to frustration of cold atoms in optical lattices
• Chirally Stabilized Critical State in Marginally Coupled Spin and Doped Systems
• Collective Modes and Raman Scattering in One Dimensional Electron Systems
• Reduction formula for fermion loops and density correlations of the 1D Fermi gas
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Universal scaling behavior of coupled chains of interacting fermions
• Kondo effect in a Luttinger liquid: nonuniversality of the Wilson ratio
• Quantum spin chain as a potential realization of the Nersesyan-Tsvelik model
• Enhanced NMR relaxation of Tomonaga-Luttinger liquids and the magnitude of the carbon hyperfine coupling in single-wall carbon nanotubes
• Pair spin-orbit interaction in low-dimensional electron systems
• On the Validity of the Tomonaga Luttinger Liquid Relations for the One-dimensional Holstein Model
• Ground states of long-range interacting fermions in one spatial dimension
• Entanglement Witness for Indistinguishable Electrons using Solid-State Spectroscopy
• Antiferromagnetic spin ladders effectively coupled by one-dimensional electron liquids
• Spin resonance in Luttinger liquid with spin-orbit interaction
• Is the Luttinger liquid a new state of matter?
• Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
• Local spectral properties of Luttinger liquids: scaling versus nonuniversal energy scales
• Transport properties for a Luttinger liquid wire with Rashba spin-orbit coupling and Zeeman splitting
• Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
• Finite-temperature conductance of strongly interacting quantum wire with a nuclear spin order
• Electronic States and Superconducting Transition Temperature based on the Tomonaga-Luttinger liquid in Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$
• Perturbation theory for optical excitations in the one-dimensional extended Peierls--Hubbard model
• Adaptive Density Matrix Renormalization Group for Disordered Systems
• Conductance Increase by Electron-Phonon Interaction in Quantum Wires
• Possible evidence of non-Fermi liquid behavior from quasi-one-dimensional indium nanowires
• Anomalous doping evolution of nodal dispersion revealed by in-situ ARPES on continuously doped cuprates
• A charge model as an effective model of one-dimensional Hubbard and extended Hubbard systems: its application to linear optical spectrum calculations in large systems based upon many-body Wannier functions
• Thermodynamics of low-dimensional trapped Fermi gases
• Critical Ising modes in low-dimensional Kondo insulators
• Topological phases of the interacting Su-Schrieffer-Heeger model: An analytical study
• Surface Luttinger arcs in Weyl semimetals
• Luttinger-liquid Parameter of Hubbard Chain and Hubbard Ladder
• Ground-state phase diagram of the one-dimensional dimerized t-J model at quarter filling
• Signatures of the Attractive Interaction in Spin Spectra of One-dimensional Cuprate Chains
• Superconductivity in a Two-Orbital Hubbard Model with Electron and Hole Fermi Pockets: Application in Iron Oxypnictide Superconductors
• Inelastic electron transport in polymer nanofibers
• Manipulating the Tomonaga-Luttinger exponent by electric field modulation
• Phase theory and critical exponents for the Tomonaga-Luttinger model with harmonic confinement
• Fate of electron beam in graphene: Coulomb relaxation or plasma instability?
• Exact Spectral Functions of a Non Fermi Liquid in 1 Dimension
• Phase diagram of the extended Hubbard chain with charge-dipole interactions
• Flat bands and temperature-driven phase transition in quasi-one-dimensional zigzag chains
• Tunneling conductance of long-range Coulomb interacting Luttinger liquid
• Field theoretical approach to non-local interactions: 1d electrons and fermionic impurities
• Magnetoresistance, noise properties and the Koshino-Taylor effect in the quasi-1D oxide KRu_4O_8
• Self-Consistent Second Order Perturbation Theory for the Hubbard Model in Two Dimensions
• The TTF finite-energy spectral features in photoemission of TTF-TCNQ: The Hubbard-chain description
• Influence of uncorrelated overlayers on the magnetism in thin itinerant-electron films
• Realistic Electron-Electron Interaction in a Quantum Wire
• Spin-charge separation in strongly interacting finite ladder rings
• Non-local Thirring model at finite-temperature
• Fermi Surface Renormalization in Two Spatial Dimensions
• One-dimensional physics in transition-metal nanowires: Renormalization group and bosonization analysis
• Memory-function approach to the normal-state optical properties of the Bechgaard salt (TMTSF)_2PF_6
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• Transient effects in the backscattered current of a Luttinger liquid
• Quantum simulation of fermionic systems using hybrid digital-analog quantum computing approach
• Fermi liquid features of the one-dimensional Luttinger liquid
• Coulomb gap in one-dimensional disordered electron systems
• Strong quenches in the one-dimensional Fermi-Hubbard model
• Ground-state properties of the one dimensional electron liquid
• Spin-charge separation in an Aharonov-Bohm interferometer
• Superconductivity of the One-Dimensional d-p Model with p-p transfer
• Renormalization Group and Asymptotic Spin--Charge separation for Chiral Luttinger liquids
• Non-Fermi Liquids in the Extended Hubbard Model
• Dimensional crossover in half-filled and lightly doped N-leg Hubbard ladders
• Dynamic correlations of the Coulomb Luttinger liquid
• Optical phonons in a quarter-filled 1D Hubbard model
• Kondo effect in crossed Luttinger liquids
• Scalar potential effect in an integrable Kondo model
• Edge States in Doped Antiferromagnetic Nano-Structures
• Pressure Engineering of the Dirac Fermions in Quasi-One-Dimensional Tl${}_2$Mo${}_6$Se${}_6$
• Bosonic description of a Tomonaga-Luttinger model with impurities
• Dynamical Conductivity of Disordered Quantum Hall Stripes
• Electron transport through a mesoscopic metal-CDW-metal junction
• Electronic properties of quantum bars
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Parquet approximation and one-loop renormalization group: Equivalence on the leading-logarithmic level
• Path-integral fermion-boson decoupling at finite temperature
• Charging a Dimerized Quantum XY Chain
• Exact ground and excited states of a t-J ladder doped with two holes
• Theory of Resonant Raman Scattering in One Dimensional Electronic systems
• Spin current in an electron waveguide tunnel-coupled to topological insulator
• Transport in Double-Crossed Luttinger Liquids
• Effect of short-range electron correlations in dynamic transport in a Luttinger liquid
• Critical Behavior of Layered Superconducting Films in Parallel Magnetic Field
• Dynamic transport in a quantum wire driven by spin-orbit interaction
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• New selection rules for resonant Raman scattering on quantum wires
• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• One-dimensional spin-1/2 Heisenberg antiferromagnet in a weak external magnetic field
• Abelian Bosonization, OPEs, and the "String Scale" of Fermion Fields
• Current instability and diamagnetism in small-diameter carbon nanotubes
• Study of the ionic Peierls-Hubbard model using density matrix renormalization group methods
• Unusual electronic ground state of a prototype cuprate: band splitting of single CuO_2-plane Bi_2 Sr_(2-x) La_x CuO_(6+delta)
• Bond patterns and charge order amplitude in 1/4-filled charge-transfer solids
• Is there a Glass Transition in Planar Vortex Systems?
• Spinless Two-Band Model in Infinite Dimensions
• Flux-free conductance modulation in a helical Aharonov-Bohm interferometer
• Hubbard ring: currents induced by change of magnetic flux
• Probing Wigner correlations in a suspended carbon nanotube
• Carbon nanotube sensor for vibrating molecules
• Tomonaga-Luttinger liquid theory for metallic fullurene polymers
• Field Theory Renormalization Group: The Tomonaga-Luttinger Model Revisited
• Effects of finite-range interactions on the one-electron spectral properties of one-dimensional metals: Application to Bi/InSb(001)
• Dynamic response of interacting one-dimensional fermions in the harmonic atom trap: Phase response and the inhomogeneous mobility
• Shot noise in charge and magnetization currents of a quantum ring
• String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems
• Symmetries and Correlations in Strongly Interacting One-dimensional Quantum Gases
• One-dimensionality of the spin-polarized surface conduction and valence bands of quasi-one-dimensional Bi chains on GaSb(110)-(2$\times$1)
• Lightly doped dimerized spin chain in the one-dimensional t-J-J' model
• Nonmonotonic behavior of resistance in a superconductor-Luttinger liquid junction
• Strongly Interacting Luttinger Liquid and Superconductivity in an Exactly Solvable Model
• Spin-dependent electron-electron interaction in Rashba materials
• Operator correlations in a quenched non-Hermitian Luttinger liquid
• NMR Relaxation Rate for 1D Multicomponent Spin-Orbital Systems
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
• Dynamics of one-dimensional electrons with broken spin-charge separation
• STM tunneling through a quantum wire with a side-attached impurity
• Generic short-range interactions in two-leg ladders
• Fermion Analogy for Layered Superconducting Films in Parallel Magnetic Field
• Ladder approximation to spin velocities in quantum wires
• Light scattering in inhomogeneous Tomonaga-Luttinger liquids
• Metal-Insulator Transition Tuned by External Gates in Hall Systems with Constrictions
• Influence of electron-phonon coupling on low temperature phases of metallic single-wall carbon nanotubes
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Singular responses of spin-incoherent Luttinger liquids
• Mesoscopic Luttinger Liquid Theory in an Aharonov-Bohm Ring
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities
• Non local Thirring model with spin flipping interactions
• Finite temperature bosonization
• Anyon Quantum Transport and Noise away from Equilibrium
• Optical conductivity of one-dimensional doped Hubbard-Mott insulator
• Effective Field Theory and Integrability in Two-Dimensional Mott Transition
• Influence of non-magnetic impurities on hole doped two-leg Cu-O Hubbard ladders
• A 2D Luttinger model
• Spin rotational symmetry breaking by orbital current patterns in two-leg ladders.
• Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
• Functional Renormalization-Group Analysis of Luttinger Liquids with Impurities
• Conductance through strongly interacting rings in a magnetic field
• Coupled electron-impurity and electron-phonon systems as trivial non-Fermi liquids
• Static and dynamic image potential for tunneling into a Luttinger liquid
• General interaction quenches in a Luttinger liquid
• Anomalous behavior of the quasi-one-dimensional quantum material Na${}_2$OsO${}_4$ at high pressure
• Effects of finite-range interactions on the one-electron spectral properties of TTF-TCNQ
• Ferromagnetic Fixed Point of the Kondo Model in a Luttinger Liquid
• The one-dimensional Holstein model revisited
• Intersubband plasmons in quasi-one-dimensional electron systems on a liquid helium surface
• Tunneling effects on impurity spectral function in coupled asymmetric quantum wires
• Emergence of generalized hydrodynamics in the non-local Luttinger model
• Sum rule for transport in a Luttinger liquid with long range interaction in the presence of an impurity
• Full counting statistics of energy transfers in inhomogeneous nonequilibrium states of (1+1)D CFT
• AC-Conductivity of Pinned Charge Density Wave Fluctuations in Quasi One-Dimensional Conductors
• Pairing and Density Correlations of Stripe Electrons in a Two-Dimensional Antiferromagnet
• Density of states anomalies in multichannel quantum wires
• Anharmonicity in one-dimensional electron-phonon system
• Green's Function Approach to the Edge Spectral Density
• Single-Particle Properties of a Two-Dimensional Fermi Liquid at finite Frequencies and Temperatures
• Non-equilibrium charge noise and dephasing from a spin-incoherent Luttinger liquid
• Charge and spin density in the helical Luttinger liquid
• Renormalization group calculation of the uniform susceptibilities in low-dimensional systems
• Spinon and eta-spinon correlation functions
• Strongly Interacting Phases of Metallic Wires in Strong Magnetic Field
• Moving perturbation in a one-dimensional Fermi gas
• Fermionic phases and their transitions induced by competing finite-range interactions
• Nonequilibrium plasmons and transport properties of a double--junction quantum wire
• Momentum distribution and tunneling density of states of one-dimensional Fermonic SU(N) Hubbard model
• Spin Pumping into Carbon Nanotubes
• Homogeneous electron gas in arbitrary dimensions
• Path-integral formulation of backward and umklapp scattering for 1d spinless fermions
• Emergent Carroll symmetry at phase separation in one-dimensional lattice systems
• On symmetry-resolved generalized entropies
• Tunable reciprocal and nonreciprocal contributions to 1D Coulomb Drag
• Electron-electron interactions in partially mixed helical states
• Delocalization in Coupled Luttinger Liquids with Impurities
• Finite-temperature spectroscopy of dirty helical Luttinger liquids
• Nonmonotonic plasmon dispersion in strongly interacting Coulomb Luttinger liquids
• Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
• The fate of the spin polaron in the 1D antiferromagnets
• Wilson-Kadanoff Renormalization Group in Higher Orders: One-Dimensional g-ology Model as an Example
• Coulomb gap in one-dimensional disordered electronic systems
• A non covariant fermionic determinant and its connection to Luttinger systems
• One-dimensional interacting electrons beyond the Dzyaloshinskii-Larkin theorem
• Anomalous Flux Quantization in the Spin-Imbalanced Attractive Hubbard Ring
• Charge-density-wave instability in the Holstein model with quartic anharmonic phonons
• dc Josephson Effect in Metallic Single-Walled Carbon Nanotubes
• Hartree-Fock calculations of a finite inhomogeneous quantum wire
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Persistent current of correlated electrons in mesoscopic ring with impurity
• Spectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors
• Transient and finite size effects in transport properties of a quantum wire
• U(1) slave-particle study of the finite-temperature doped Hubbard model in one and two dimensions
• Quasi-1D Coulomb drag between spin-polarized quantum wires
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities
• A New Quasi One-Dimensional Compound Ba3TiTe5 and Superconductivity Induced by Pressure
• Homogeneous Electron Liquid in Arbitrary Dimensions: Exchange and Correlation Using the Singwi-Tosi-Land-Sjölander Approach
• Spin pumping into quantum spin chains
• Effect of nearest neighbor repulsion on the low frequency phase diagram of a quarter-filled Hubbard-Holstein chain
• Consequences of the Inherent Density Dependence in Dirac Materials
• Wigner Crystal State for the Edge Electrons in the Quantum Hall Effect at Filling $\nu =2$
• Perfect Wave Transfer in Continuous Quantum Systems
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Electrostatic Screening in Nanotubes: A Tubular Response Function Framework
• Fermion liquids as quantum Hall liquids in phase space: A unified approach for anomalies and responses
• Quantum lattice fluctuations in a model electron-phonon system
• Nonadiabatic approach to dimerization gap and optical absorption coefficient of the Su-Schrieffer-Heeger model
• Comment on "Dynamic correlations of the spinless Coulomb Luttinger liquid [Phys. Rev. B {\bf 65}, 125109 (2002)]"
• Exactly Solvable Fermionic N-chain Models
• Exciton Dynamics in Carbon Nanotubes: From the Luttinger Liquid to Harmonic Oscillators
• Atypical Behavior of Collective Modes in Two-Dimensional Fermi Liquids
• Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations
• When Wannier centers jump: Critical points between atomic insulating phases
• Landau Quasiparticles in Weak Power-Law Liquids
• Bosonization in $R$-paraparticle Luttinger models
• Luttinger liquid, singular interaction and quantum criticality in cuprate materials
• Transport in a class of exactly solvable models of interacting fermions
• Möbius molecules and fragile Mott insulators
• Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
• Dynamical regime of electron transport in correlated one-dimensional conductor with defect
• Probing dielectric breakdown in Mott insulators through current oscillations
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Theoretical study of interacting electrons in one dimension - ground states and experimental signatures
• Resonant Raman Scattering of Interacting Two-Channel Quantum Wires
• One-dimensional interacting Su-Schrieffer-Heeger model at quarter filling: An exact diagonalization study
• Effect of quantum lattice fluctuations on the optical-absorption spectra of halogen-bridged mixed-valence transition-metal complexes
• Running coupling constants of the Luttinger liquid
• Optical conductivity of one-dimensional narrow-gap semiconductors
• Twisted bilayer graphene as a terahertz plasmonic crystal
• Superconductivuty versus Tunneling in a Doped Antiferromagnetic Ladder
• Marginal Fermi liquids from Fermi surfaces coupled via matrix boson gas
• Effects of a single impurity in a Luttinger liquid with spin-orbit coupling
• Origin of dimensional crossover in quasi-one-dimensional hollandite K${}_2$Ru${}_8$O${}_{16}$
• A new class of Matrix Models arising from the W-infinity Algebra
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states
• Phonons and Solitons in 1D Mott Insulators
• Nearly Free Electron States in Graphene Nanoribbon Superlattices
• Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms
• Scaling Behavior of the Longitudinal and Transverse Transport in Quasi One-Dimensional Organic Conductors
• Ground-state phase diagram of the one-dimensional $t$-$J_s$-$J_{\tau }$ model at quarter filling
• Low-dimensional quantum systems
• Functional Renormalization Group for fermions on a one dimensional lattice at arbitrary filling
• Electronic quantum wires in extended quasiparticle picture
• Robust Weyl Semimetal and Pressure-induced Superconductivity in Quasi-One-Dimensional (NbSe4)2I
• Rate Function Modelling of Quantum Many-Body Adiabaticity
• Pressure induced superconductivity bordering a charge-density-wave state in NbTe4 with strong spinorbit coupling