Commuting quantum transfer matrix approach to intrinsic Fermion system: Correlation length of a spinless Fermion model

Abstract

The quantum transfer matrix (QTM) approach to integrable lattice Fermion systems is presented. As a simple case we treat the spinless Fermion model with repulsive interaction in critical regime. We derive a set of non-linear integral equations which characterize the free energy and the correlation length of $<c_j^{†}{c}_i>$ for arbitrary particle density at any finite temperatures. The correlation length is determined by solving the integral equations numerically. Especially in low temperature limit this result agrees with the prediction from conformal field theory (CFT) with high accuracy.

17 pages

References in corpus (14)

• The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents
• The Quantum Inverse Scattering Method for Hubbard-like Models
• The Hubbard chain at finite temperatures: ab initio calculations of Tomonaga-Luttinger liquid properties
• Spinons in Magnetic Chains of Arbitrary Spins at Finite Temperatures
• Continued fraction TBA and functional relations in XXZ model at root of unity
• From Fusion Hierarchy to Excited State TBA
• Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
• Fermionic R-Operator for the Fermion Chain Model
• SO(4) Symmetry of the Transfer Matrix for the One-Dimensional Hubbard Model
• Quantum Jacobi-Trudi Formula and $E_8$ Structure in the Ising Model in a Field
• Temperature dependent spatial oscillations in the correlations of the XXZ spin chain
• Characters for ${\widehat{sl(n)}}_{k=1}$ from a novel Thermodynamic Bethe Ansatz
• Excited state TBA and functional relations in spinless Fermion model
• Competition of Ferromagnetic and Antiferromagnetic Order in the Spin-1/2 XXZ Chain at Finite Temperature

Cited by in corpus (17)

• Thermal form factors of the XXZ chain and the large-distance asymptotics of its temperature dependent correlation functions
• Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
• The 1/2-XXZ spin-chain at finite magnetic field: Crossover phenomena driven by temperature
• One dimensional strongly interacting Luttinger liquid of lattice spinless fermions
• Low-temperature spectrum of correlation lengths of the XXZ chain in the antiferromagnetic massive regime
• A note on the osp(1|2s) thermodynamic Bethe ansatz equation
• Thermodynamic Bethe ansatz equation from fusion hierarchy of osp(1|2) integrable spin chain
• Spectral Properties of Interacting One-Dimensional Spinless Fermions
• Fermionic R-Operator and Algebraic Structure of 1D Hubbard Model: Its application to quantum transfer matrix
• Correlation length of the 1D Hubbard Model at half-filling : equal-time one-particle Green's function
• Finite temperature correlations for the U_q(sl(2|1))-invariant generalized Hubbard model
• Fermionic R-operator approach for the small-polaron model with open boundary condition
• Form factors and correlation functions of an interacting spinless fermion model
• Spin-orbit and impurity scattering in an integrable electron model: Exact results for dynamic correlations
• Hidden E type structures in dilute A models
• Thermodynamics of weakly coupled Falicov-Kimball chains from renormalization-group theory
• Correlation functions of an interacting spinless fermion model at finite temperature