Coexistence of diffusive and ballistic transport in a simple spin ladder

Marko Znidaric

Coexistence of diffusive and ballistic transport in a simple spin ladder

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arxiv 1302.5509 v1 pith:R5BVBP7F submitted 2013-02-22 cond-mat.str-el nlin.CDquant-ph

Marko Znidaric This is my paper · ORCID

classification cond-mat.str-elnlin.CDquant-ph

keywords ballistictransportdiffusivealongladdermodelnonintegrablerungs

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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.

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Weak ergodicity breaking with isolated integrable sectors
cond-mat.stat-mech 2024-12 accept novelty 7.0 of 10

Isolated integrable subspaces can be embedded non-trivially into chaotic spin chains; all examples are perturbations of Hilbert-space-fragmented models.

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