Energy transport in a disordered spin chain with broken U(1) symmetry : diffusion, subdiffusion, and many-body localization
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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.
Schulz , M , Taylor , S R , Hooley , C A & Scardicchio , A 2018 , ' Energy transport in a disordered spin chain with broken U(1) symmetry : diffusion, subdiffusion, and many-body localization ' , Physical Review. B, Condensed matter and materials physics , vol. 98 , no. 18 , 180201(R) . https://doi.org/10.1103/PhysRevB.98.180201
Physical Review. B, Condensed matter and materials physics
© 2018, American Physical Society. This work has been made available online in accordance with the publisher's policies. This is the author created accepted version manuscript following peer review and as such may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevB.98.180201
DescriptionFunding: MS and SRT acknowledge financial support from the CM-CDT under EPSRC (UK) grants EP/G03673X/1 and EP/L015110/1. CAH acknowledges financial support from the TOPNES programme under EPSRC (UK) grant number EP/I031014/1.
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