Coexistence of Diffusive and Ballistic Transport in a Simple Spin Ladder

2013/02/12 by Marko Znidaric, Marko Žnidarič · 4 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.str-el #nlin.CD #quant-ph

paper · pdf · doi:10.1103/physrevlett.110.070602

published as Phys. Rev. Lett. 110, 070602 (2013) · 5 pages, 4 figures

openalex publication_date 2013/02/12 · arxiv created 2013/02/22 · arxiv updated 2013/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that in a nonintegrable spin ladder system with the XX type of coupling along the legs and the XXZ type along the rungs there are invariant subspaces that support ballistic magnetization transport. In the complementary subspace the transport is found to be diffusive. This shows that (i) quantum chaotic systems can possess ballistic subspaces, and (ii) diffusive and ballistic transport modes can coexist in a rather simple nonintegrable model. In the limit of an infinite anisotropy in rungs the system studied is equivalent to the one-dimensional Hubbard model.

Citations

• Thermal transport in one-dimensional spin gap systems
• Completely positive dynamical semigroups of N-level systems
• Heat conduction in low-dimensional quantum magnets

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