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

Kim Louis·Claudius Gros
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Abstract

Recently, the stochastic series expansion (SSE) has been proposed as a powerful MC-method, which allows simulations at low $T$ for quantum-spin systems. We show that the SSE allows 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 non-interacting leads for the conductance of an interacting system.

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Kim Louis, Claudius Gros. 2003-11-03. Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems. https://doi.org/10.1103/physrevb.68.184424

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