Bosonization and Strongly Correlated Systems

1999/09/08 by Alexander O. Gogolin, A. O. Gogolin, A. A. Nersesyan +4 · 164 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/9909069

17 pages including preface and general bibliography

arxiv created 1999/09/08 · arxiv updated 2009/11/30

Abstract

This volume provides a detailed account of bosonization. The first part of the book examines the technical aspects of bosonization including one-dimensional fermions, the Gaussian model, the structure of Hilbert space in conformal theories, Bose-Einstein condensation in two dimensions, non-Abelian bosonization, and the Ising and WZNW models. The second part presents applications of the bosonization technique to realistic models including the Tomonaga-Luttinger liquid, spin liquids in one dimension and the spin-1/2 Heisenberg chain with alternative exchange. The third part addresses the problems of quantum impurities. Chapters cover potential scattering, the X-ray edge problem, impurities in Tomonaga-Luttinger liquids and the multi-channel Kondo problem.

Cited by

• DC Conductance of X-shaped Majorana Interferometer reveals Non-Abelian Anyon Statistics
• Bosonization solution of the Kondo lattice in a Luttinger liquid
• Correlation functions at the topological quantum phase transition in the S=1 XXZ chain with single-ion anisotropy
• Autoregressive Neural Network Extrapolation of Quantum Spin Dynamics Across Time and Space
• Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder
• Strong zero modes in integrable spin-S chains
• On the Role of the Canonical Transformation in the Single-Channel Kondo Model
• Magnetotransport and Carrier Dynamics in Quasi-One-Dimensional Antiferromagnet KMn₆Bi₅
• The effect of Coulomb interactions on relic neutrino detection via beta decaying impurities in (semi)metals
• Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
• The generic Mott transition in the sine-Gordon model through an embedded worm algorithm
• Spectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors
• Kondo destruction quantum critical point: fixed point annihilation and thermodynamic stability
• Logarithmic lightcones in the multiparticle Anderson model with sparse interactions
• Bosonization for Disordered and Chaotic Systems
• Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
• Tunneling spectroscopy of the spinon-Kondo effect in one-dimensional Mott insulators
• Instabilities in Binary Mixtures of One-Dimensional Quantum Degenerate Gases
• Spin ladder quantum simulators from spin-orbit-coupled quantum dot spin qubits
• Topological phases and spontaneous symmetry breaking: the revenge of the original Su-Schrieffer-Heeger model
• Emergent Symmetry and Phase Transitions on the Domain Wall of ℤ₂ Topological Orders
• Multichannel topological Kondo models and their low-temperature conductances
• Critical Phases of the extended isotropic XY chain with four-spin interaction
• Electrostatically induced topological phase transitions in polyacetylene molecules
• Tomonaga-Luttinger liquid theory for one-dimensional attractive Fermi gases
• An introduction to integrable techniques for one-dimensional quantum systems
• Quasi-1D Coulomb drag between spin-polarized quantum wires
• Oscillatory Nonlinear Conductance of an Interacting Quantum Wire with an Impurity
• Superconductivity in ropes of carbon nanotubes
• Spin-chain multichannel Kondo model via image impurity boundary condition
• Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure
• Instantons and topological order in two-leg electron ladders: A universality class
• Emergent modular Luttinger liquid from spin-partitioned entanglement in the one-dimensional Hubbard model
• Exploring magneto-electric coupling through lattice distortions: insights from a pantograph model
• Phase Diagram of the Anisotropic Kondo Chain
• Renormalization group study of the conductances of interacting quantum wire systems with different geometries
• Tails of the dynamical structure factor of 1D spinless fermions beyond the Tomonaga approximation
• Electron transport in a disordered Luttinger liquid
• Transport through constricted quantum Hall edge systems: Beyond the quantum point contact
• Quantum disordering of the 111 state and the compressible-incompressible transition in quantum Hall bilayer systems
• Nonlinear Magnetotransport in Interacting Chiral Nanotubes
• Anderson-like impurity in the one-dimensionalt-Jmodel: Formation of local states and magnetic behavior
• Variable-range hopping in 2D quasi-1D electronic systems
• Interacting Bose gases in quasi-one-dimensional optical lattices
• Spatially anisotropic Heisenberg kagome antiferromagnet
• Flow Equation Solution for the Weak- to Strong-Coupling Crossover in the Sine-Gordon Model
• Coulomb Drag Shot Noise in Coupled Luttinger Liquids
• Crystal distortion and the two-channel Kondo effect
• Incommensurate Spin Correlations in Spin-1/2Frustrated Two-Leg Heisenberg Ladders
• Interedge interactions and fixed points at a junction of quantum Hall line junctions
• Real Space Imaging of One-Dimensional Standing Waves: Direct Evidence for a Luttinger Liquid
• Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions
• Class of exactly soluble models of one-dimensional spinless fermions and its application to the Tomonaga-Luttinger Hamiltonian with nonlinear dispersion
• Electron spin resonance inS=12antiferromagnetic chains
• Gapless line for the anisotropic Heisenbergspin−12chain in a magnetic field and the quantum axial next-nearest-neighbor Ising chain
• Phase diagram of the Heisenberg spin ladder with ring exchange
• From Luttinger liquid to Altshuler-Aronov anomaly in multichannel quantum wires
• Collective excitations in one-dimensional ultracold Fermi gases: Comparative study
• Theory of non-Abelian Fabry-Perot interferometry in topological insulators
• Current-induced nonadiabatic spin torques and domain-wall motion with spin relaxation in a ferromagnetic metallic wire
• Electron-Electron and Spin-Orbit Interactions in Armchair Graphene Ribbons
• Rectification in Luttinger Liquids
• Phase diagrams of the generalized spin-12ladder under staggered field and dimerization: A renormalization-group study
• Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection
• Unscreened Coulomb Interactions and the Quantum Spin Hall Phase in Neutral Zigzag Graphene Ribbons
• Quantum theory of bilayer quantum Hall smectics
• Finite-temperature dynamical magnetic susceptibility of quasi-one-dimensional frustrated spin-12Heisenberg antiferromagnets
• The fermionic limit of the -function Bose gas: a pseudopotential approach
• Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field
• Singular or non-Fermi liquids
• Spinons in a Crossed-Chains Model of a 2D Spin Liquid
• Spin Gap and String Order Parameter in the Ferromagnetic Spiral Staircase Heisenberg Ladder: A Quantum Monte Carlo Study
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Universal four-component Fermi gas in one dimension
• Spin Drag and Spin-Charge Separation in Cold Fermi Gases
• CoupledS=12Heisenberg antiferromagnetic chains in an effective staggered field
• Quantum effects in Coulomb blockade
• Spin Transport in Interacting Quantum Wires and Carbon Nanotubes
• Line junction in a quantum Hall system with two filling fractions
• Dimensional crossover in quasi-one-dimensional and high-Tcsuperconductors
• Phase diagrams of spin ladders with ferromagnetic legs
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Low-temperature crossover in the momentum distribution of cold atomic gases in one dimension
• Evidence for Luttinger-Liquid Behavior in Crossed Metallic Single-Wall Nanotubes
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Confinement versus deconfinement of Cooper pairs in one-dimensional spin-3∕2fermionic cold atoms
• Transport, optical properties, and quantum ratchet effects for quantum dots and molecules coupled to Luttinger liquids
• Quantum structural phase transition in chains of interacting atoms
• Charge-density-wave instabilities driven by multiple umklapp scattering
• Spin-Orbit-Induced Spin-Density Wave in a Quantum Wire
• Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry
• Theory of the Optical Conductivity of Spin Liquid States in One-Dimensional Mott Insulators
• Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
• Shot noise in strongly correlated double quantum spin Hall edges
• Quantum phase transition in a resonant level coupled to interacting leads
• Luttinger liquid behavior in spin chains with a magnetic field
• Quantum Brownian motion with inhomogeneous damping and diffusion
• Non-Fermi-Liquid Manifold in a Majorana Device
• Majorana edge states in interacting two-chain ladders of fermions
• Orbital currents and charge density waves in a generalized Hubbard ladder
• Inelastic scattering from local vibrational modes
• Modulated Rashba interaction in a quantum wire: Spin and charge dynamics
• Numerical study of the Coulomb blockade in an open quantum dot
• Theory of quasi-one-dimensional imbalanced Fermi gases
• Exact Exponents of Edge Singularities in Dynamic Correlation Functions of 1D Bose Gas
• Coulomb drag between two spin-incoherent Luttinger liquids
• Field Emission from Luttinger Liquids and Single-Wall Carbon Nanotubes
• Excitations in One-DimensionalS=12Quantum Antiferromagnets
• Spin-orbital effects in magnetized quantum wires and spin chains
• Fast and slow edges in bilayer graphene nanoribbons: Tuning the transition from band to Mott insulator
• ELECTRON–ELECTRON INTERACTION EFFECTS ON TRANSPORT THROUGH MESOSCOPIC SUPERCONDUCTING HYBRID JUNCTIONS
• Strongly interacting bosons in a one-dimensional optical lattice at incommensurate densities
• EXCITATIONS OF A LOW-DIMENSIONAL DIMERIZED SPIN LADDER UNDER A MAGNETIC FIELD
• Fractional topological insulators: From sliding Luttinger liquids to Chern-Simons theory
• Transmission of correlated electrons through sharp domain walls in magnetic nanowires: A renormalization group approach
• Breathers and Raman scattering in a two-leg ladder with staggered Dzyaloshinskii-Moriya interaction
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Nonperturbative Functional Renormalization-Group Approach to the Sine-Gordon Model and the Lukyanov-Zamolodchikov Conjecture
• Simulating analogue holography in flexible Dirac metals
• Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems
• Electric-field-induced Majorana Fermions in Armchair Carbon Nanotubes
• Superconductivity from purely repulsive interactions in the strong-coupling approach: Application of SU(2) slave-rotor theory to the Hubbard model
• From coupled wires to coupled layers: Model with three-dimensional fractional excitations
• Local spectral weight of a Luttinger liquid: Effects from edges and impurities
• Interaction distance in the extended XXZ model
• Many-terminal Majorana island: From topological to multichannel Kondo model
• Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes
• Correlated atomic wires on substrates. I. Mapping to quasi-one-dimensional models
• Describing systems of interacting fermions by boson models: Mapping in arbitrary dimension and applications
• Brane parity orders in the insulating state of Hubbard ladders
• One-Dimensional Multiband Correlated Conductors and Anderson Impurity Physics
• Fine structure of the phonon in one dimension from quantum hydrodynamics
• Topological Phase Transition betweens+-ands++Superconducting Phases from Competing Electron–Electron and Electron–Phonon Interactions
• Quantum thermoelectric and heat transport in the overscreened Kondo regime: Exact conformal field theory results
• Junctions of anyonic Luttinger wires
• Tunneling into strongly biased Tomonaga-Luttinger liquid
• Time-dependent local potential in a Tomonaga-Luttinger liquid
• Newton’s law for Bloch electrons, Klein factors, and deviations from canonical commutation relations
• Kondo dynamics in one-dimensional doped ferromagnetic insulators
• Finite-time interaction quench in a Luttinger liquid
• Luttinger liquid with complex forward scattering: Robustness and Berry phase
• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• Exact Bosonization for an Interacting Fermi Gas in Arbitrary Dimensions
• Topological phase transitions in four dimensions
• Interacting resonant level coupled to a Luttinger liquid: Population vs. density of states
• Triplet superconductivity vs. easy-plane ferromagnetism in a 1D itinerant electron system with transverse spin anisotropy
• Majorana Edge States in Atomic Wires Coupled by Pair Hopping
• Nonequilibrium Rashba field driven domain wall motion in ferromagnetic nanowires
• Wave-packet dynamics in the one-dimensional extended Hubbard model
• Power dissipation for systems with junctions of multiple quantum wires
• Effective field theories for topological insulators by functional bosonization
• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point
• Klein factors and Fermi-Bose equivalence
• Loschmidt amplitude and work distribution in quenches of the sine-Gordon model
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• Intrinsic Coulomb blockade in multi-wall carbon nanotubes
• Competition between different order parameters in a quasi-one-dimensional superconductor
• Phases of one-dimensional SU(N) cold atomic Fermi gases—From molecular Luttinger liquids to topological phases
• X-ray edge singularity of bilayer graphene
• Mass generation in perturbed massless integrable models
• Spin Filtering by Field-Dependent Resonant Tunneling
• Tunneling spectroscopy of Majorana-Kondo devices
• One-dimensional anisotropic Heisenberg model in the transverse magnetic field
• Low-lying excitations of the three-leg spin tube: A density-matrix renormalization group study
• Temporal Berry Phase and the Emergence of Bose-Glass-Analog Phase in a Clean U(1) Superfluid
• Entanglement and symmetry resolution in two dimensional free quantum field theories

Related

• An introduction to bosonization
• An introduction to bosonization and aome of its applications
• Bosonization of Luttinger liquids: spin flipping interactions and spin-orbit coupling
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Bosonisation as the Hubbard-Stratonovich Transformation