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Title: Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems

Abstract

Here, we describe the critical behavior of the electric field-driven (dynamic) Mott insulator-to-metal transitions in dissipative Fermi and Bose systems in terms of non-Hermitian Hamiltonians invariant under simultaneous parity (P) and time-reversal (T) operations. The dynamic Mott transition is identified as a PT symmetry-breaking phase transition, with the Mott insulating state corresponding to the regime of unbroken PT symmetry with a real energy spectrum. We also established that the imaginary part of the Hamiltonian arises from the combined effects of the driving field and inherent dissipation. We derive the renormalization and collapse of the Mott gap at the dielectric breakdown and describe the resulting critical behavior of transport characteristics. The critical exponent we obtained is in an excellent agreement with experimental findings.

Authors:
 [1];  [2];  [3];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Tata Inst. of Fundamental Research, Bombay (India). Dept. of Theoretical Physics
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  3. Tata Inst. of Fundamental Research, Bombay (India). Dept. of Theoretical Physics
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1352639
Alternate Identifier(s):
OSTI ID: 1260307
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; Journal Issue: 4; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Tripathi, Vikram, Galda, Alexey, Barman, Himadri, and Vinokur, Valerii M. Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.94.041104.
Tripathi, Vikram, Galda, Alexey, Barman, Himadri, & Vinokur, Valerii M. Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems. United States. doi:10.1103/PhysRevB.94.041104.
Tripathi, Vikram, Galda, Alexey, Barman, Himadri, and Vinokur, Valerii M. Tue . "Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems". United States. doi:10.1103/PhysRevB.94.041104. https://www.osti.gov/servlets/purl/1352639.
@article{osti_1352639,
title = {Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems},
author = {Tripathi, Vikram and Galda, Alexey and Barman, Himadri and Vinokur, Valerii M.},
abstractNote = {Here, we describe the critical behavior of the electric field-driven (dynamic) Mott insulator-to-metal transitions in dissipative Fermi and Bose systems in terms of non-Hermitian Hamiltonians invariant under simultaneous parity (P) and time-reversal (T) operations. The dynamic Mott transition is identified as a PT symmetry-breaking phase transition, with the Mott insulating state corresponding to the regime of unbroken PT symmetry with a real energy spectrum. We also established that the imaginary part of the Hamiltonian arises from the combined effects of the driving field and inherent dissipation. We derive the renormalization and collapse of the Mott gap at the dielectric breakdown and describe the resulting critical behavior of transport characteristics. The critical exponent we obtained is in an excellent agreement with experimental findings.},
doi = {10.1103/PhysRevB.94.041104},
journal = {Physical Review B},
issn = {2469-9950},
number = 4,
volume = 94,
place = {United States},
year = {2016},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 4 works
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