Conductivity of quantum spin chains: A quantum Monte Carlo approach
Jose Alvarez,Claudius Gros +1 more
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TLDR
In this paper, the authors discuss zero-frequency transport properties of spin-1/2 chains and show that a careful analysis of quantum Monte Carlo data on the imaginary axis allows to distinguish between intrinsic ballistic and diffusive transport.Abstract:
We discuss zero-frequency transport properties of various spin-1/2 chains. We show that a careful analysis of quantum Monte Carlo data on the imaginary axis allows to distinguish between intrinsic ballistic and diffusive transport. We determine the Drude weight, current-relaxation lifetime, and the mean free path for integrable and nonintegrable quantum spin chains. We discuss, in addition, some phenomenological relations between various transport-coefficients and thermal response functions.read more
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The loop algorithm
TL;DR: The loop algorithm as mentioned in this paper is a quantum Monte Carlo procedure that employs non-local changes of worldline configurations, determined by local stochastic decisions, and is related to Swendsen-Wang algorithms.
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Finite-temperature transport in one-dimensional quantum lattice models
Bruno Bertini,Fabian Heidrich-Meisner,Christoph Karrasch,Tomaž Prosen,Robin Steinigeweg,Marko Žnidarič +5 more
TL;DR: In this paper, a review of the current understanding of transport in one-dimensional lattice models, in particular in the paradigmatic example of the spin-1/2 XXZ and Fermi-Hubbard models, is reviewed, as well as state-of-theart theoretical methods, including both analytical and computational approaches.
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Zero-frequency transport properties of one-dimensional spin- 1 2 systems
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