Spin-Charge Separation at Finite Temperature in the Supersymmetric t-J Model with Long-Range Interactions

Abstract

Thermodynamics is derived rigorously for the 1D supersymmetric {\it t-J} model and its SU($K,1$) generalization with inverse-square exchange. The system at low temperature is described in terms of spinons, antispinons, holons and antiholons obeying fractional statistics. They are all free and make the spin susceptibility independent of electron density, and the charge susceptibility independent of magnetization. Thermal spin excitations responsible for the entropy of the SU($K,1$) model are ascribed to free para-fermions of order $K-1$.

10 pages, REVTEX

References in corpus (9)

• Exchange Operator Formalism for Integrable Systems of Particles
• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• On Models with Inverse-Square Exchange
• Solution of Some Integrable One-Dimensional Quantum Systems
• Exact Spectrum of SU(n) Spin Chain with Inverse-Square Exchange
• Spectrum and Thermodynamics of the one-dimensional supersymmetric t-J model with $1/r^2$ exchange and hopping
• Exact Solution of the Sutherland Model with arbitrary symmetry
• Elementary Excitations of One-Dimensional t-J Model with Inverse-Square Exchange
• Exact ground state correlations in the supersymmetric $1/r^2$ exchange $t-J$ model

Cited by in corpus (22)

• Exclusion Statistics in Conformal Field Theory Spectra
• Statistical Phases and Momentum Spacings for One-Dimensional Anyons
• Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction
• The Polychronakos-Frahm spin chain of BC_N type and Berry-Tabor's conjecture
• Exact dynamical structure factor of the degenerate Haldane-Shastry model
• Antiholons in one-dimensional t-J models
• Exact Dynamics of the SU(K) Haldane-Shastry Model
• Coloron excitations of the SU(3) Haldane--Shastry model
• Exact Charge Dynamics in the Supersymmetric t-J Model with Inverse-Square Interaction
• Elementary Excitations and Dynamical Correlation Functions of the Calogero-Sutherland Model with Internal Symmetry
• High Temperature Expansion for the SU(n) Heisenberg Model in One Dimension
• Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field
• Complementary colors of colorons: the elementary excitations of the SU(3) Haldane--Shastry model
• Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics
• Coordinate Representation of the One-Spinon One-Holon Wavefunction and Spinon-Holon Interaction
• Fractional Exclusion Statistics for the Multicomponent Sutherland Model
• Exact two-holon wave functions in the Kuramoto-Yokoyama model
• Charge excitations in SU(n) spin chains: exact results for the 1/r^2 model
• Dynamical Properties of the 1/r^2-Type Supersymmetric t-J Model in a Magnetic Field: Manifestation of Spin-Charge Separation
• Supersymmetric $t$-$J$ models with long-range interactions: partition function and spectrum
• Supersymmetric $t$-$J$ models with long-range interactions: thermodynamics and criticality
• Exact density matrix of the Gutzwiller wave function: II. Minority spin component