期刊
SCIPOST PHYSICS
卷 5, 期 5, 页码 -出版社
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.5.5.045
关键词
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资金
- French National Research Agency (ANR) [THERMOLOC ANR-16-CE30-0023-02]
- French Programme Investissements d'Avenir [ANR-11-IDEX-0002-02, ANR-10-LABX-0037-NEXT]
- European Union [747914]
- PRACE [2016153659, 2017-P0677, 2018-P0677, x2018050225]
We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transition, using shift-invert exact diagonalization. We also provide an example code at https://bitbucket.org/dluitz/sinvert_mbl. Through a detailed analysis of the simulational parameters of the random field Heisenberg spin chain, we provide a practical guide on how to perform efficient computations. We present data for mid-spectrum eigenstates of spin chains of sizes up to L = 26. This work is also geared towards readers with interest in efficiency of parallel sparse linear algebra techniques that will find a challenging application in the MBL problem.
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