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Integrals of motion in the many-body localized phase
Open accessAbstract
We construct a complete set of quasi-local integrals of motion for the many-body localized phase of interacting fermions in a disordered potential. The integrals of motion can be chosen to have binary spectrum {0,1}, thus constituting exact quasiparticle occupation number operators for the Fermi insulator. We map the problem onto a non-Hermitian hopping problem on a lattice in operator space. We show how the integrals of motion can be built, under certain approximations, as a convergent series in the interaction strength. An estimate of its radius of convergence is given, which also provides an estimate for the many-body localization–delocalization transition. Finally, we discuss how the properties of the operator expansion for the integrals of motion imply the presence or absence of a finite temperature transition.
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Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Statistical Physics of Particles
Kardar, M. (2007) · doi:10.1017/cbo9780511815898 · Cited by 473
Cited by
Probing many-body localization by spin noise spectroscopy
Roy, D., Singh, R., & Moessner, R. (2015) · Physical Review B · doi:10.1103/physrevb.92.180205 · Cited by 24
Metadata
- Authors
- Ros, V., Müller, M., & Scardicchio, A.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2015-02
- Volume
- 891
- Pages
- 420-465
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1990965852
- Cited by
- 505
- References
- 2
- FWCI
- 27.45
- Type
- journal article
- Language
- en
- Open access
- diamond
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- Ros, V., Müller, M., & Scardicchio, A. (2015). Integrals of motion in the many-body localized phase. Nuclear Physics B. https://doi.org/10.1016/j.nuclphysb.2014.12.014
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