Finite-temperature dynamics with the density-matrix renormalization group method

Abstract

We present a novel numerical method for the evaluation of dynamical response functions at finite temperatures in one-dimensional strongly correlated systems. The approach is based on the density-matrix renormalization group method, combined with the finite-temperature Lanczos diagonalization. The feasibility of the method is tested on the example of dynamical spin correlations in the anisotropic Heisenberg chain, in particular it yields nontrivial results for the critical behavior in the isotropic case.

4 pages, 5 figures

References in corpus (6)

• The density-matrix renormalization group
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Spectral functions in one-dimensional quantum systems at T>0
• Low Temperature Lanczos Method
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Low-temperature density matrix renormalization group using regulated polynomial expansion

Cited by in corpus (10)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Time-Dependent Density Matrix Renormalization Group Algorithms for Nearly Exact Absorption and Fluorescence Spectra of Molecular Aggregates at Both Zero and Finite Temperature
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Matrix product state formulation of frequency-space dynamics at finite temperatures
• Dynamical properties of the $S=\frac{1}{2}$ random Heisenberg chain
• Local spin relaxation within the random Heisenberg chain
• Conservation laws in coupled cluster dynamics at finite-temperature
• Antiferromagnetic order in weakly coupled random spin chains
• Dynamical central peak and spinon deconfinement in frustrated spin chains
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states