Bosonization for Beginners --- Refermionization for Experts

Abstract

This tutorial gives an elementary and self-contained review of abelian bosonization in 1 dimension in a system of finite size $L$, following and simplifying Haldane's constructive approach. As a non-trivial application, we rigorously resolve (following Furusaki) a recent controversy regarding the tunneling density of states, ${\rho }_{dos}(\omega )$, at the site of an impurity in a Tomonaga-Luttinger liquid: we use finite-size refermionization to show exactly that for g=1/2 its asymptotic low-energy behavior is ${\rho }_{dos}(\omega )\sim \omega$. This agrees with the results of Fabrizio & Gogolin and of Furusaki, but not with those of Oreg and Finkel'stein (probably because we capture effects not included in their mean-field treatment of the Coulomb gas that they obtained by an exact mapping; their treatment of anti-commutation relations in this mapping is correct, however, contrary to recent suggestions in the literature). --- The tutorial is addressed to readers unfamiliar with bosonization, or for those interested in seeing ``all the details'' explicitly; it requires knowledge of second quantization only, not of field theory. At the same time, we hope that experts too might find useful our explicit treatment of certain subtleties -- these include the proper treatment of the so-called Klein factors that act as fermion-number ladder operators (and also ensure the anti-commutation of different species of fermion fields), the retention of terms of order 1/L, and a novel, rigorous formulation of finite-size refermionization of both $e^{-i\Phi (x)}$ and the boson field $\Phi (x)$ itself.

Revtex, 70 pages. Changes: Regarding the controversial tunneling density of states at an impurity in a g=1/2 Luttinger liquid, we (1) give a new, more explicit calculation, (2) show that contrary to recent suggestions (including our own), Oreg and Finkel'stein treat fermionic anticommutation relations CORRECTLY (see Appendix K), but (3) suggest that their MEAN-FIELD treatment of their Coulomb gas may not be sufficiently accurate

References in corpus (6)

• Finite-Size Bosonization of 2-Channel Kondo Model: a Bridge between Numerical Renormalization Group and Conformal Field Theory
• Local Perturbation in a Tomonaga-Luttinger Liquid at g=1/2
• Comment on ``Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids''
• Exact Fermi-edge singularity exponent in a Luttinger liquid
• Interacting fermions in one dimension: The Tomonaga-Luttinger model
• Reply to the Comment on "Enhancement of the Tunneling Density of States in Tomonaga-Luttinger Liquids"

Cited by in corpus (335)

• Functional renormalization group approach to correlated fermion systems
• The Fractional Quantum Hall effect in an array of quantum wires
• Intrinsically Gapless Topological Phases
• Sliding Luttinger liquid phases
• One-dimensional flat bands in twisted bilayer germanium selenide
• A number conserving theory for topologically protected degeneracy in one-dimensional fermions
• Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
• Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Conductivity of a generic helical liquid
• Multi-Terminal Coulomb-Majorana Junction
• Bosonization of one dimensional fermions out of equilibrium
• Renormalization group flows into phases with broken symmetry
• Dynamics of Charge-Resolved Entanglement after a Local Quench
• Majorana Edge States in Interacting Two-chain Ladders of Fermions
• Out-of-time-ordered density correlators in Luttinger liquids
• Interactions and charge fractionalization in an electronic Hong-Ou-Mandel interferometer
• Decoherence and interactions in an electronic Mach-Zehnder interferometer
• Multi-channel Kondo impurity dynamics in a Majorana device
• Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
• Crossover from Non-Equilibrium to Equilibrium Behavior in the Time-Dependent Kondo Model
• Decoherence and relaxation of a single electron in a one dimensional conductor
• Universal low-temperature crossover in two-channel Kondo models
• Transient Orthogonality Catastrophe in a Time Dependent Nonequilibrium Environment
• Junctions of anyonic Luttinger wires
• Real-time energy dynamics in spin-1/2 Heisenberg chains
• Hanbury-Brown and Twiss interference of anyons
• Parity measurement in topological Josephson junctions
• The one dimensional Kondo lattice model at partial band filling
• Simple Bosonization Solution of the 2-channel Kondo Model: I. Analytical Calculation of Finite-Size Crossover Spectrum
• The Crooks relation in optical spectra - universality in work distributions for weak local quenches
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Quantum spins on star graphs and the Kondo model
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Thermodynamics of the dissipative two-state system: a Bethe Ansatz study
• Random Rashba spin-orbit coupling at the quantum spin Hall edge
• Fidelity witnesses for fermionic quantum simulations
• Quantum phase transition of Ising-coupled Kondo impurities
• How backscattering off a point impurity can enhance the current and make the conductance greater than e^2/h per channel
• Rashba spin splitting in quantum wires
• Dynamic probes of quantum spin chains with the Dzyaloshinskii-Moriya interaction
• Quantum quench in PT-symmetric Luttinger liquid
• Functional Integral Bosonization for Impurity in Luttinger Liquid
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Staggered orbital currents in the half-filled two-leg ladder
• Relevance of inter-composite fermion interaction to the edge Tomonaga-Luttinger liquid
• Equilibration of integer quantum Hall edge states
• Interaction Quenches of Fermi Gases
• Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
• Klein Factors in multiple Fractional Quantum Hall edge tunneling
• Adapted continuous unitary transformation to treat systems with quasiparticles of finite lifetime
• Luttinger liquid properties of the steady state after a quantum quench
• Crystallization of Levitons in the fractional quantum Hall regime
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Dynamics of waves in 1D electron systems: Density oscillations driven by population inversion
• Enhancement of tunneling density of states at a junction of three Luttinger liquid wires
• Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
• Spatiotemporal buildup of the Kondo screening cloud
• Bosonic continuum theory of one-dimensional lattice anyons
• Minimal excitation states for heat transport in driven quantum Hall systems
• Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems
• Quantum Wire Hybridized with a Single-Level Impurity
• Circuit Complexity and 2D Bosonisation
• Multiparticle interference in electronic Mach-Zehnder interferometers
• Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
• Flow equation approach to the sine-Gordon model
• Topological vacuum bubble by anyon braiding
• Exactly Solved Model for an Electronic Mach-Zehnder Interferometer
• Staggered liquid phases of the 1D Kondo-Heisenberg lattice model
• Coulomb blockade microscopy of spin density oscillations and fractional charge in quantum spin Hall dots
• The interacting Rice-Mele model: bulk and boundaries
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Correlations at PT-symmetric quantum critical point
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
• Heat conduction and Wiedemann-Franz Law in disordered Luttinger Liquids
• Mixed, charge and heat noises in thermoelectric nanosystems
• Testing the topological nature of the fractional quantum Hall edge
• Linear and nonlinear transport across carbon nanotube quantum dots
• Ground state and excitation of an asymmetric spin ladder model
• Negative Excess Shot Noise by Anyon Braiding
• Fractional Wigner crystal in the helical Luttinger liquid
• Fractional Mutual Statistics on Integer Quantum Hall Edges
• Parametric instability in periodically driven Luttinger liquids
• Shot Noise Signatures of Charge Fractionalization in the $\nu =2$ Quantum Hall edge
• Class of exactly soluble models of one-dimensional spinless fermions and its application to the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion
• Dissipation induced Luttinger liquid correlations in a one dimensional Fermi gas
• Fractional-quantum-Hall edge electrons and Fermi statistics
• Theory of non-Abelian Fabry-Perot interferometry in topological insulators
• Split Fermi seas in one-dimensional Bose fluids
• Dissipation-induced quantum phase transition in a quantum box
• The spectrum of interacting metallic carbon nanotubes: Exchange effects and universality
• The Luther-Emery liquid: Spin gap and anomalous flux period
• Photon echo from lensing of fractional excitations in Tomonaga-Luttinger spin liquid
• Relaxation in Luttinger liquids: Bose-Fermi duality
• The low energy spectrum of finite size metallic SWNTs
• Rectification of spin currents in spin chains
• The spectral function of the Tomonaga-Luttinger model revisited: power laws and universality
• Correlation functions for 1d interacting fermions with spin-orbit coupling
• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Quantum Hall Bilayers and the Chiral Sine-Gordon Equation
• Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids
• Thermodynamics of the anisotropic two-channel Kondo problem
• Dissipationless kinetics of one dimensional interacting fermions
• Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
• Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Hanbury Brown and Twiss Correlations in Quantum Hall Systems
• Equilibration in one-dimensional quantum hydrodynamic systems
• Lowest Landau level bosonization
• The chiral SYK model
• Flow equation analysis of the anisotropic Kondo model
• Spin textures of strongly correlated spin Hall quantum dots
• Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
• Probing one-dimensional systems via noise magnetometry with single spin qubits
• Probing Spin-Charge Separation in Tunnel-Coupled Parallel Quantum Wires
• SO(5) non-Fermi liquid in a Coulomb box device
• One-channel conductor coupled to a quantum of resistance: exact ac conductance and finite-frequency noise
• Non-equilibrium steady state in a periodically driven Kondo model
• Capacitor Discharge and Vacuum Resistance in Massless QED_2
• Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
• Signature of interaction in dc transport of ac gated Quantum Spin Hall edge states
• Hierarchy of modes in an interacting system
• A Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling
• Numerical Renormalization Group at marginal spectral density: application to quantum tunneling in Luttinger liquids
• Conductance oscillations in strongly correlated fractional quantum Hall line junctions
• Renormalization group study of transport through a superconducting junction of multiple one-dimensional quantum wires
• Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
• Jordan-Wigner transformations for tree structures
• Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
• Hong-Ou-Mandel heat noise in the quantum Hall regime
• Anisotropic charge Kondo effect in a triple quantum dot
• Molecular transistor coupled to phonons and Luttinger-liquid leads
• Construction by bosonization of a fermion-phonon model
• Strongly Correlated Fractional Quantum Hall Line Junctions
• Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
• Long-lived binary tunneling spectrum in a quantum-Hall Tomonaga-Luttinger liquid
• Universal dephasing in a chiral 1D interacting fermion system
• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
• Perturbation theory for quantum-mechanical observables
• Backscattering in a helical liquid induced by Rashba spin-orbit coupling and electron interactions: locality, symmetry, and cutoff aspects
• Persistent currents in multicomponent Tomonaga-Luttinger liquid: application to mesoscopic semiconductor ring with spin-orbit interaction
• Transient dynamics of spin-polarized injection in helical Luttinger liquids
• Massless fermions in multi-flavor QED_2
• Dynamic properties of quantum spin chains: Simple route to complex behavior
• Tomonaga-Luttinger liquid and localization in Weyl semimetals
• Superconducting instability in 3 band metallic nanotubes
• Cancellation of quantum anomalies and bosonization of three-dimensional time-reversal symmetric topological insulators
• Physics in one dimension: theoretical concepts for quantum many-body systems
• Transitions from small to large Fermi momenta in a one-dimensional Kondo lattice model
• Charge transport of a spin-orbit-coupled Luttinger liquid
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
• Orbital currents and charge density waves in a generalized Hubbard ladder
• Thermal Transport in One Dimensional Electronic Fluid
• Spectral edge mode in interacting one-dimensional systems
• Relaxation and dephasing in a many-fermion generalization of the Caldeira-Leggett model
• Universality at work -- the local sine-Gordon model, lattice fermions, and quantum circuits
• Conductance of Tomonaga-Luttinger liquid wires and junctions with resistances
• Kane-Mele-Hubbard model on the $\pi$-flux honeycomb lattice
• Two-particle entanglement in capacitively coupled Mach-Zehnder interferometers
• Interactions in Electronic Mach-Zehnder Interferometers with Copropagating Edge Channels
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Exchange effects in spin polarized transport through carbon nanotube quantum dots
• Bosonization for fermions and parafermions
• Transient and Sharvin resistances of Luttinger liquids
• Power dissipation for systems with junctions of multiple quantum wires
• Measuring post-quench entanglement entropy through density correlations
• Momentum-Resolved Tunneling into Fractional Quantum Hall Edges
• Spin-charge separation in transport through Luttinger liquid rings
• Incoherent scatterer in a Luttinger liquid: a new paradigmatic limit
• Interaction quench dynamics in the Kondo model in presence of a local magnetic field
• Solution of a model for the two-channel electronic Mach-Zehnder interferometer
• Kane-Mele Hubbard model on a zigzag ribbon: stability of the topological edge states and quantum phase transitions
• Tunneling into strongly biased Tomonaga-Luttinger liquid
• Out-of-horizon correlations following a quench in a relativistic quantum field theory
• Plasmon excitations and 1D - 2D dimensional crossover in quantum crossbars
• Interacting topological mirror excitonic insulator in one dimension
• Many-particle correlations in non-equilibrium Luttinger liquid
• Phase diagram of the three band half-filled Cu-O two-leg ladder
• Thermodynamics and static response of anomalous 1D fermions via quantum Monte Carlo in the worldline representation
• Composite boson dominance in relativistic field theories
• Impurity Scattering in Luttinger Liquid with Electron-Phonon Coupling
• Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
• Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions
• Enhancement of tunneling density of states at a Y junction of spin-1/2 Tomonaga Luttinger liquid wires
• Spectral properties of interacting helical channels driven by Lorentzian pulses
• A many-fermion generalization of the Caldeira-Leggett model
• Fermion Pairing and the Scalar Boson of the 2D Conformal Anomaly
• Shot Noise and Full Counting Statistics from Non-equilibrium Plasmons in Luttinger-Liquid Junctions
• Non-equilibrium quantum transport through a dissipative resonant level
• Detection of spin entanglement via spin-charge separation in crossed Tomonaga-Luttinger liquids
• Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas
• PH-Pfaffian order in a translationally and rotationally invariant system
• Majorana end states in an interacting quantum wire
• Spin and lattice effects in the Kondo lattice model
• Bosonization of Strong-Field Pair Plasma
• Dynamical resurrection of the visibility in a Mach-Zehnder interferometer
• SO(5) critical point in a spin-flavor Kondo device -- Bosonization and refermionization solution
• Microscopic study of the 2/5 fractional quantum Hall edge
• Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductors
• Parity dependent Josephson current through a helical Luttinger liquid
• Tunneling conductance of a mesoscopic ring with spin-orbit coupling and Tomonaga-Luttinger interaction
• Spectral functions in a magnetic field as a probe of spin-charge separation in a Luttinger liquid
• Electron operator at the edge of the 1/3 fractional quantum Hall liquid
• Bosonization approach to the mixed-valence two-channel Kondo problem
• Effective theories for quantum spin clusters: Geometric phases and state selection by singularity
• Spin-excitations of the quantum Hall ferromagnet of composite fermions
• Clock model and parafermions in Rashba nanowires
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• Quantum impurity in a Tomonaga-Luttinger liquid: continuous-time quantum Monte Carlo approach
• Parent Hamiltonians for lattice Halperin states from free-boson conformal field theories
• A two dimensional analogue of the Luttinger model
• Entropy production in one-dimensional quantum fluids
• Exact solution of a 2D interacting fermion model
• Almost Perfect Metals in One Dimension
• Topological sectors, dimer correlations and monomers from the transfer-matrix solution of the dimer model
• Random Sampling Neural Network for Quantum Many-Body Problems
• Driven quantum dot coupled to a fractional quantum Hall edge
• Extraction of topological information in Tomonaga-Luttinger liquids
• Kondo Effects in Quantum Dots at Large Bias
• Effect of electron-phonon coupling on transmission through Luttinger liquid hybridized with resonant level
• Newton's law for Bloch electrons, Klein factors and deviations from canonical commutation relations
• Two-orbital physics of high spin fermionic alkaline earth atoms confined in a one-dimensional chain
• Quenching across quantum critical points in periodic systems: dependence of scaling laws on periodicity
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
• Tunneling into a finite Luttinger liquid coupled to noisy capacitive leads
• Luttinger liquids with multiple Fermi edges: Generalized Fisher-Hartwig conjecture and numerical analysis of Toeplitz determinants
• One-dimensional physics in transition-metal nanowires: Renormalization group and bosonization analysis
• Tunnelling current through fractional quantum Hall interferometers
• Local phonon mode in a fermionic bath, and its relation to Kondo effect
• Interaction effects and charge quantization in single-particle quantum dot emitters
• Coulomb-interaction-induced Majorana edge modes in nanowires
• Exactly Soluble Model for Umklapp Scattering at Quantum-Hall Edges
• Semi-analytical solution of the Kondo model in a magnetic field
• Magnetism in the dilute Kondo lattice model
• Temperature dependent conductances of deformable molecular devices
• Negativity of the excess noise in a quantum wire capacitively coupled to a gate
• Linear conductance of an interacting carbon nanotube ring
• Abelian Bosonization, OPEs, and the "String Scale" of Fermion Fields
• Klein factors and Fermi-Bose Equivalence
• Electron interferometry in integer quantum Hall edge channels
• Flux sensitivity of quantum spin Hall rings
• Model of resistances in systems of Tomonaga-Luttinger liquid wires
• Renormalization group study of Luttinger liquids with boundaries
• Transport between edge states in multilayer integer quantum Hall systems: exact treatment of Coulomb interactions and disorder
• Tomonaga-Luttinger model with an impurity for a weak two-body interaction
• Canonically conjugate pairs and phase operators
• Electronic properties of quantum bars
• Transport in Double-Crossed Luttinger Liquids
• Quasiclassical theory of electronic transport in mesoscopic systems: Luttinger liquids revisited
• Probing Wigner correlations in a suspended carbon nanotube
• Transport properties of double-walled carbon nanotube quantum dots
• Transient Features in Charge Fractionalization, Local Equilibration and Non-equilibrium Bosonization
• Visibility recovery by strong interaction in an electronic Mach-Zehnder interferometer
• The Wiedemann-Franz law in the SU(N) Wolff model
• Spin-dependent transport through interacting graphene armchair nanoribbons
• Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
• Friedel oscillations and dynamical density of states of an inhomogeneous Luttinger liquid
• Generic short-range interactions in two-leg ladders
• Exciton Quasi-Condensation in One Dimensional Systems
• Frequency dependent transport through a spin chain
• Measuring the Luttinger liquid parameter with shot noise
• Electron-electron interaction effects on transport through mesoscopic superconducting hybrid junctions
• Influence of electron-phonon coupling on low temperature phases of metallic single-wall carbon nanotubes
• Finite temperature bosonization
• Quantum criticality in Kondo quantum dot coupled to helical edge states of interacting 2D topological insulators
• Transport properties of a Luttinger liquid with a cluster of impurities
• Time resolved transport properties of a $Y$-junction of Tomonaga-Luttinger liquids
• Mesoscopic Luttinger Liquid Theory in an Aharonov-Bohm Ring
• Backscattering off a driven Rashba impurity at the helical edge
• Electric and heat transport in a charge two-channel Kondo device
• Topological Excitations of One-Dimensional Correlated Electron Systems
• Dissipative dynamics in the free massive boson limit of the sine-Gordon model
• Ordered phases in spin-Peierls systems
• Bosonization study of a generalized statistics model with four Fermi points
• Massive Schwinger model with a finite inductance: theta-(in)dependence, the U(1) problem, and low-energy theorems
• Non-interacting single-impurity Anderson model: solution without using the equation-of-motion method
• A 2D Luttinger model
• Luttinger parameters of interacting fermions in 1D at high energies
• Umklapp scattering at reconstructed quantum-Hall edges
• Solving real time evolution problems by constructing excitation operators
• Graphene armchair nanoribbon single-electron transistors: The peculiar influence of end states
• The Yukawa Model in One Space - One Time Dimensions
• The Tomonaga-Luttinger Model and the Chern-Simons Theory for the Edges of Multi-layer Fractional Quantum Hall Systems
• Bosonization and Quantum Hydrodynamics
• Valence Bond States: Link models
• Competing phases and critical behavior in three coupled spinless Luttinger liquids
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• Tunneling density of states in a Y junction of Tomonaga-Luttinger liquid wires: A density matrix renormalization group study
• Quantitative analysis of interaction effects in generalized Aubry-Andŕe-Harper models
• Semiconductor nanodevices as a probe of strong electron correlations
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Role of Umklapp Processes in Conductivity of Doped Two-Leg Ladders
• Understanding anomalous particle production in massless QED via time-varying $\theta$ angle
• Topological quantum phase transition in strongly correlated Kondo insulators in 1D
• Fermi edge singularity and finite frequency spectral features in a semi-infinite 1D wire
• Fermi-edge singularities in linear and non-linear ultrafast spectroscopy
• Statistics and dynamics of the center of mass coordinate in a quantum liquid
• Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains
• Bosonization of dimerized Hubbard chains
• Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
• The Fermi edge singularity in the SU(N) Wolff model
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Driven Spin-Boson Luttinger Liquids
• Charge fractionalization beyond the Luttinger liquid paradigm: an analytical consideration
• DC conductance and memory in 3D gravity
• Fisher Hartwig determinants, conformal field theory and universality in generalised XX models
• Stochastic Wave-Function Simulation of Irreversible Emission Processes for Open Quantum Systems in a Non-Markovian Environment
• Density of states of interacting quantum wires with impurities: a Dyson equation approach
• Density-density Correlation Function of Strongly Inhomogeneous Luttinger Liquids
• Interacting Electrons on a Fluctuating String
• Kondo dynamics in one-dimensional doped ferromagnetic insulators
• Anomalous gapped boundaries between surface topological orders in higher-order topological insulators and superconductors with inversion symmetry
• Total and Symmetry resolved Entanglement spectra in some Fermionic CFTs from the BCFT approach
• Nonlinear Bosonization and Refermionization in One Dimension with the Keldysh Functional Integral
• Phononless thermally activated transport through a disordered array of quantum wires
• Linear response of a one-dimensional conductor coupled to a dynamical impurity with a Fermi edge singularity
• On the visibility of electron-electron interaction effects in field emission spectra
• Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids
• Edge mode velocities in the quantum Hall effect from a dc measurement
• Influence of a Mesoscopic Bath on Quantum Coherence
• Influences of an impurity on the transport properties of one-dimensional antisymmetric spin filter
• A Novel Approach To Particle Representations
• Transport in a class of exactly solvable models of interacting fermions
• 1D half-filled paramagnetic Hubbard model.The Luttinger critical exponents
• Current facilitation by plasmon resonances between parallel wires of finite length
• Line discontinuities, local action with both the field and its dual, and spin from no spin in two-dimensional scalar theory
• Extended two-level quantum dissipative system from bosonization of the elliptic spin-1/2 Kondo model
• Exactly solvable three-level quantum dissipative systems via bosonisation of fermion gas-impurity models
• Momentum distribution functions in ensembles: the inequivalence of microcannonical and canonical ensembles in a finite ultracold system
• Investigating the roots of the nonlinear Luttinger liquid phenomenology
• Entanglement Entropy in Many-Fermion System