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Energy transport in a disordered spin chain with broken U(1) symmetry: diffusion, subdiffusion, and many-body localization

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Author(s)

Maximilian Schulz, Scott Richard Taylor, Christopher Andrew Hooley, Antonello Scardicchio

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Abstract

We explore the physics of the disordered XYZ spin chain using two complementary numerical techniques: exact diagonalization (ED) on chains of up to 17 spins, and time-evolving block decimation (TEBD) on chains of up to 400 spins. Our principal findings are as follows. First, we verify that the clean XYZ spin chain shows ballistic energy transport for all parameter values that we investigated. Second, for weak disorder there is a stable diffusive region that persists up to a critical disorder strength that depends on the XY anisotropy. Third, for disorder strengths above this critical value, energy transport becomes increasingly subdiffusive. Fourth, the many-body localization transition moves to significantly higher disorder strengths as the XY anisotropy is increased. We discuss these results, and their relation to our current physical picture of subdiffusion in the approach to many-body localization.
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Original languageEnglish
Article number180201(R)
Number of pages10
JournalPhysical Review. B, Condensed matter and materials physics
Volume98
Issue number18
DOIs
Publication statusPublished - 5 Nov 2018

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