Energy spread and current-current correlation in quantum systems

2014/07/27 by Yonghong Yan, Feng Jiang, Hui Zhao
Materials Science · Physics and Astronomy · #Conductivity #Correlation function (quantum field theory) #Energy (signal processing) #Fermion #Function (biology) #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Thermal #Thermal conductivity #Thermal properties of materials #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1140/epjb/e2014-50797-4

5 pages, 2 figures

arxiv created 2014/07/27 · openalex publication_date 2015/01/31 · arxiv updated 2015/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider energy (heat) transport in quantum systems, and establish a relationship between energy spread and energy current-current correlation function. The energy current-current correlation is related to thermal conductivity by the Green-Kubo formula, and thus this relationship allows us to study conductivity directly from the energy spread process. As an example, we investigate a spinless fermion model; the numerical results confirm the relationship.

Citations

• The pragmatics of scientific representation
• Colloquium: Phononics: Manipulating heat flow with electronic analogs and beyond
• Density dynamics in translationally invariant spin-12chains at high temperatures: A current-autocorrelation approach to finite time and length scales
• Heat transport in low-dimensional systems
• Coexistence of Diffusive and Ballistic Transport in a Simple Spin Ladder