Bosonization at Finite Temperature and Anyon Condensation

Abstract

An operator formalism for bosonization at finite temperature and density is developed. We treat the general case of anyon statistics. The exact $n$-point correlation functions, satisfying the Kubo-Martin-Schwinger condition, are explicitly constructed. The invariance under both vector and chiral transformations allows to introduce two chemical potentials. Investigating the exact momentum distribution, we discover anyon condensation in certain range of the statistical parameter. Another interesting feature is the occurrence of a non-vanishing persistent current. As an application of the general formalism, we solve the massless Thirring model at finite temperature, deriving the charge density and the persistent current.

LaTex file, 3 figures, 33 pages

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Cited by in corpus (33)

• Correlation functions of one-dimensional anyonic fluids
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Junctions of anyonic Luttinger wires
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Entanglement properties and moment distributions of a system of hard-core anyons on a ring
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
• Luttinger Liquid in Non-equilibrium Steady State
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Off-diagonal correlations in one-dimensional anyonic models: A replica approach
• Correlation functions of one-dimensional strongly interacting two-component gases
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Light-front Schwinger Model at Finite Temperature
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Properties of size-dependent models having quasiperiodic boundary conditions
• Bose-Einstein condensation and condensation of $q$-particles in equilibrium and non equilibrium thermodynamics: a new approach
• Two-Dimensional Thermofield Bosonization
• Transport properties of a quantum wire: the role of extended time-dependent impurities
• Dynamics of parafermionic states in transport measurements
• Emergent Anyon Distribution in the Unruh Effect
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Two-Dimensional Thermofield Bosonization II: Massive Fermions
• Anyon Quantum Transport and Noise away from Equilibrium
• Thermality of the Unruh effect with intermediate statistics
• Dualities for anyons
• Gauge-invriant quasi-free states on the algebra of the anyon commutation relations
• Thermofield Quantum Electrodynamics in 1 + 1 Dimensions at Finite Chemical Potential: A Bosonization Approach
• Thermal correlators of anyons in two dimensions
• The massless thermal field and the thermal fermion bosonization in two dimensions
• Two-dimensional anyons and the temperature dependence of commutator anomalies