Matrix product state formulation of frequency-space dynamics at finite temperatures

2013/12/31 by Alexander C. Tiegel, Salvatore R. Manmana, Thomas Pruschke +2
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.90.060406

published as Phys. Rev. B 90, 060406(R) (2014) · 5 pages (3 figures) + 2 pages supplemental material; v3: final version

openalex publication_date 2014/08/21 · arxiv created 2014/09/01 · arxiv updated 2014/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a flexible density-matrix renormalization group approach to calculate finite-temperature spectral functions of one-dimensional strongly correlated quantum systems. The method combines the purification of the finite-temperature density operator with a moment expansion of the Green's function. Using this approach, we study finite-temperature properties of dynamical spectral functions of spin-1/2 XXZ chains with Dzyaloshinskii-Moriya interactions in magnetic fields and analyze the effect of these symmetry breaking interactions on the nature of the finite-temperature dynamic spin structure factor.

Citations

• Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
• Efficient Simulation of One-Dimensional Quantum Many-Body Systems
• Density-matrix algorithms for quantum renormalization groups
• Dynamical correlation functions using the density matrix renormalization group
• The Kernel Polynomial Method
• The density-matrix renormalization group in the age of matrix product states
• Two soluble models of an antiferromagnetic chain
• Chebyshev matrix product state approach for spectral functions