Roy, N and Sutradhar, J and Banerjee, S (2023) Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations. In: Physical Review B, 107 (11).
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Abstract
We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic system, namely, the generalized Aubry-André-Harper model, which possesses a mobility edge in the noninteracting limit. We show that a mobility edge in the single-particle (SP) excitations survives even in the presence of interaction in the NEE phase. In contrast, all single-particle excitations get localized in the MBL phase due to the MBL proximity effect. We give complementary insights into the distinction of the NEE states from the ergodic and MBL states by computing local FS self-energies and decay length associated, respectively, with the local and the nonlocal FS propagators. Based on a finite-size scaling analysis of the typical local self-energy across the NEE to ergodic transition, we show that MBL and NEE states exhibit qualitatively similar multifractal character. However, we find that the NEE and MBL states can be distinguished in terms of the distribution of local self-energy and the decay of the nonlocal propagator in the FS, whereas the typical local FS self-energy cannot tell them apart.
| Item Type: | Journal Article |
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| Publication: | Physical Review B |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Particle size analysis, Ergodics; Fock spaces; Localised; Localized state; Many body; Nonlocal; Proximity effects; Real-space; Self energy; Single particle excitations, Algebra |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 25 May 2023 07:29 |
| Last Modified: | 25 May 2023 07:29 |
| URI: | https://eprints.iisc.ac.in/id/eprint/81501 |
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