Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems

2003/09/30 by Kim Louis, Claudius Gros · 18 citations
Mathematics · Physics and Astronomy · #Anisotropy #Condensed matter physics #Conductance #Heisenberg model #Luttinger liquid #Mathematics #Monte Carlo method #Physics #Quantum #Quantum Monte Carlo #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Scaling #Series (stratigraphy) #Spin (aerodynamics) #Statistical physics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physrevb.68.184424

published in Physical review. B, Condensed matter 68(18) (American Physical Society) · 8 pages, 9 figures

arxiv created 2003/11/03 · openalex publication_date 2003/11/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Recently, the stochastic series expansion (SSE) has been proposed as a powerful Monte Carlo method, which allows simulations at low T for quantum-spin systems. We show that the SSE allows us to compute the magnetic conductance for various one-dimensional spin systems without further approximations. We consider various modifications of the anisotropic Heisenberg chain. We recover the Kane-Fisher scaling for one impurity in a Luttinger liquid and study the influence of noninteracting leads for the conductance of an interacting system.

Citations

• The pragmatics of scientific representation
• Bosonization and Strongly Correlated Systems
• Thermal transport in one-dimensional spin gap systems
• Conductance through a one-dimensional correlated system: Relation to persistent currents and the role of the contacts
• A generalization of Handscomb's quantum Monte Carlo scheme-application to the 1D Hubbard model