Scaling Properties of the Two-Chain Model

Abstract

Scaling properties of a self-dual field-theoretical model, describing two weakl$spinless Luttinger chains, are studied. A crossover to a sine-Gordon massive phase, with strongly developed two-particleinterchain correlations, is described. It is argued that, in a wide range of the in-chain interaction, renormalization of the interchain hopping amplitude is determined by the Luttinger liquid effects.

14 pages Latex, accepted Physics Letters A

Cited by in corpus (76)

• Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders
• Bosonization and Fermion Liquids in Dimensions Greater Than One
• Observation of scaling in the dynamics of a strongly quenched quantum gas
• One-Particle an Two-Particle Instability of Coupled Luttinger Liquids
• Criticality in self-dual sine-Gordon models
• Majorana Edge States in Interacting Two-chain Ladders of Fermions
• Effects of disorder on two strongly correlated coupled chains
• Spin Gap Fixed Points in the Double Chain Problem
• Spin-orbital effects in magnetized quantum wires and spin chains
• The anisotropic Heisenberg model in a transverse magnetic field
• Gap generation in the XXZ model in a transverse magnetic field
• Spin-1/2 fermions on spin-dependent optical lattices
• Broken time-reversal symmetry in strongly correlated ladder structures
• Spinless Fermionic ladders in a magnetic field: Phase Diagram
• Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field
• Generalized two-leg Hubbard ladder at half-filling: Phase diagram and quantum criticalities
• Competing effects of interactions and spin-orbit coupling in a quantum wire
• Weakly disordered spin ladders
• Singlet pairing in the double chain t-J model
• Staggered orbital currents in the half-filled two-leg ladder
• Phases of the two-band model of spinless fermions in one dimension
• Incommensurate phases of a bosonic two-leg ladder under a flux
• Staggered Flux Phase in a Model of Strongly Correlated Electrons
• Strong-Correlations Versus U-Center Pairing and Fractional Aharonov-Bohm Effect
• The anisotropic Heisenberg chain in coexisting transverse and longitudinal magnetic fields
• Fractional charge excitations in fermionic ladders
• Gapless line for the anisotropic Heisenberg spin-1/2 chain in a magnetic field and the quantum axial next-nearest-neighbor Ising Chain
• Confinement of Interchain Hopping by Umklapp Scattering in Two-Coupled Chains
• Orbital current patterns in doped two-leg Cu-O Hubbard ladders
• Confinement-deconfinement transition in two-coupled chains with umklapp scattering
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Effects of a weak disorder on two coupled Hubbard chains
• Crossover between Luttinger and Fermi liquid behavior in weakly coupled metallic chains
• A Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling
• Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials
• The gap exponent of XXZ model in a transverse field
• Spinless fermions ladders at half filling
• Dimensional Crossovers in the Doped Ladder System: Spin Gap, Superconductivity and Interladder Coherent Band Motion
• Interactions and Disorder in Multi-Channel Quantum Wires
• Phase diagram of two interacting helical states
• Orbital currents and charge density waves in a generalized Hubbard ladder
• The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
• Integrability and coherence of hopping between 1D correlated electrons systems
• Local impurity in multichannel Luttinger liquid
• Power laws in a 2-leg ladder of interacting spinless fermions
• The effect of a local perturbation in a fermionic ladder
• Universal scaling behavior of coupled chains of interacting fermions
• Properties of Fluctuations in Two Coupled Chains of Luttinger Liquids
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
• Superconductivity in a model of two Hubbard chains coupled with ferromagnetic exchange interaction
• Hall response in interacting bosonic and fermionic ladders
• A Mechanism for Ferrimagnetism and Incommensurability in One-Dimensional Systems
• Gapless Phases in an s=1/2 Quantum Spin Chain with Bond Alternation
• An Exactly Solvable Model of N Coupled Luttinger Chains
• Deconfined Fermions but Confined Coherence?
• Sliding Luttinger liquid with alternating interwire couplings
• Conductivity between Luttinger liquids: coupled chains and bilayer graphene
• Quasi-Andreev reflection in inhomogeneous Luttinger liquids
• Quantum Thermal Hall effect of chiral spinons on a Kagome strip
• Influence of non-magnetic impurities on hole doped two-leg Cu-O Hubbard ladders
• Two-Coupled Chains with Spin-Anisotropic Backward Scattering
• Spin-Charge Separation, Anomalous Scaling and the Coherence of Hopping in exactly solved Two Chain Models
• Ward Identities and chiral anomalies for coupled fermionic chains
• Weak localization and magnetoresistance in a two-leg ladder model
• Role of interchain hopping in two disordered chains of spinless fermions
• Exactly Solvable Fermionic N-chain Models
• Fermi surface renormalization and quantum confinement in the two-coupled chains model
• A conducting nano-filament (CNF) network as a precursor to the origin of superconductivity in electron-doped copper oxides
• The Emergence of Superconducting Systems in Anti-de Sitter Space
• Orbital antiferromagnetic currents in a frustrated fermionic ladder
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Composite pairing and superfluidity in a one-dimensional resonant Bose-Fermi mixture
• Phase Structures of Magnetic Impurity Models with Two-Body Hybridization
• Theoretical study of interacting electrons in one dimension - ground states and experimental signatures
• Spontaneous Currents in Spinless Fermion Lattice Models at the Strong-Coupling Limit
• Spin-orbital polarons in electron doped copper oxides