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

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...

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Bibliographic Details
Published in:Physical review. B 2018-11, Vol.98 (18), p.180201(R), Article 180201
Main Authors: Schulz, M., Taylor, S. R., Hooley, C. A., Scardicchio, A.
Format: Article
Language:English
Subjects:
Anisotropy
Chains
Clean energy
Energy transfer
Localization
Many body interactions
Transport
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Summary: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.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.98.180201