Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

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]
+ Show Author Affiliations
  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)
OSTI Identifier:
1352639
Alternate Identifier(s):
OSTI ID: 1260307
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
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.
Copy to clipboard
Tripathi, Vikram, Galda, Alexey, Barman, Himadri, & Vinokur, Valerii M. Parity-time symmetry-breaking mechanism of dynamic Mott transitions in dissipative systems. United States. https://doi.org/10.1103/PhysRevB.94.041104
Copy to clipboard
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. https://doi.org/10.1103/PhysRevB.94.041104. https://www.osti.gov/servlets/purl/1352639.
Copy to clipboard
@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},
number = 4,
volume = 94,
place = {United States},
year = {Tue Jul 05 00:00:00 EDT 2016},
month = {Tue Jul 05 00:00:00 EDT 2016}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.94.041104
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Mixed-State Evolution in the Presence of Gain and Loss
journal, December 2012

Phase diagram of the non-Hermitian asymmetric XXZ spin chain
journal, August 1996

  • Albertini, Giuseppe; Dahmen, Silvio Renato; Wehefritz, Birgit
  • Journal of Physics A: Mathematical and General, Vol. 29, Issue 15
  • DOI: 10.1088/0305-4470/29/15/001

Directed percolation and Reggeon field theory
journal, December 1980

Transport and Spectra in the Half-Filled Hubbard Model: a Dynamical mean Field Study
journal, July 2011

  • Barman, H.; Vidhyadhiraja, N. S.
  • International Journal of Modern Physics B, Vol. 25, Issue 18
  • DOI: 10.1142/S0217979211100977

Nonequilibrium Steady State in a Quantum System: One-Dimensional Transverse Ising Model with Energy Current
journal, January 1997

Dephasing of interference in Landau-Zener transitions
journal, April 1993

Dielectric breakdown of a Mott insulator
journal, August 2012

Evidence for Charge-Flux Duality near the Quantum Hall Liquid-to-Insulator Transition
journal, October 1996

Experimental study of active LRC circuits with PT symmetries
journal, October 2011

Mott insulator phases and first-order melting in Bi 2 Sr 2 Ca Cu 2 O 8 + δ crystals with periodic surface holes
journal, February 2009

Stimulation of the Fluctuation Superconductivity by P T Symmetry
journal, October 2012

Lattice field theories with an energy current
journal, January 2000

Critical behavior at a dynamic vortex insulator-to-metal transition
journal, September 2015

  • Poccia, Nicola; Baturina, Tatyana I.; Coneri, Francesco
  • Science, Vol. 349, Issue 6253
  • DOI: 10.1126/science.1260507

Application of Gutzwiller's Variational Method to the Metal-Insulator Transition
journal, November 1970

Electric field effect in correlated oxide systems
journal, August 2003

  • Ahn, C. H.; Triscone, J. -M.; Mannhart, J.
  • Nature, Vol. 424, Issue 6952
  • DOI: 10.1038/nature01878

Directed Quantum Chaos
journal, July 1997

Bifurcation Diagram and Pattern Formation of Phase Slip Centers in Superconducting Wires Driven with Electric Currents
journal, October 2007

Dielectric Breakdown of Mott Insulators in Dynamical Mean-Field Theory
journal, September 2010

Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry
journal, June 1998

Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions
journal, July 2004

Vortex pinning and the non-Hermitian Mott transition
journal, November 1998

Nanopattern-stimulated superconductor-insulator transition in thin TiN films
journal, February 2011

Localization Transitions in Non-Hermitian Quantum Mechanics
journal, July 1996

Breakdown of the Mott insulator: Exact solution of an asymmetric Hubbard model
journal, December 1998

Metal-insulator transition in rutile-based VO 2
journal, May 2006

P T -Symmetric Quantum Liouvillean Dynamics
journal, August 2012

The problem of directed percolation
journal, April 1980

Nonlinear Quantum Critical Transport and the Schwinger Mechanism for a Superfluid-Mott-Insulator Transition of Bosons
journal, December 2005

Vortex matching effect in engineered thin films of NbN
journal, June 2009

  • Thakur, Ajay D.; Ooi, Shuuichi; Chockalingam, Subbaiah P.
  • Applied Physics Letters, Vol. 94, Issue 26
  • DOI: 10.1063/1.3167771

Raman study of electric-field-induced first-order metal-insulator transition in VO2-based devices
journal, June 2005

  • Kim, Hyun-Tak; Chae, Byung-Gyu; Youn, Doo-Hyeb
  • Applied Physics Letters, Vol. 86, Issue 24
  • DOI: 10.1063/1.1941478

Parity–time-symmetric whispering-gallery microcavities
journal, April 2014

  • Peng, Bo; Özdemir, Şahin Kaya; Lei, Fuchuan
  • Nature Physics, Vol. 10, Issue 5
  • DOI: 10.1038/nphys2927

Mean-Field Dynamics of a Non-Hermitian Bose-Hubbard Dimer
journal, October 2008

Direct Observation of Vortex Dynamics in Superconducting Films with Regular Arrays of Defects
journal, November 1996

Formulation of the Schwinger mechanism in classical statistical field theory
journal, June 2013

Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
journal, June 1968

Dielectric breakdown of one-dimensional Mott insulators Sr 2 CuO 3 and SrCuO 2
journal, September 2000

Energy flow in quantum critical systems far from equilibrium
journal, May 2015

  • Bhaseen, M. J.; Doyon, Benjamin; Lucas, Andrew
  • Nature Physics, Vol. 11, Issue 6
  • DOI: 10.1038/nphys3320

Vortex pinning and non-Hermitian quantum mechanics
journal, October 1997

Boson localization and correlated pinning of superconducting vortex arrays
journal, November 1993

Dielectric Breakdown of the Insulating Charge-Ordered State in La 2 − x Sr x NiO 4
journal, December 1999

    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    Dynamics of a harmonic oscillator coupled with a Glauber amplifier
    journal, December 2019

    Nonequilibrium strong-coupling theory for a driven-dissipative ultracold Fermi gas in the BCS-BEC crossover region
    journal, January 2020

    Exactly solvable time-dependent pseudo-Hermitian su(1,1) Hamiltonian models
    journal, September 2018

    Information Retrieval and Criticality in Parity-Time-Symmetric Systems
    journal, November 2017

    Non-Hermitian Many-Body Localization
    journal, August 2019

    Parity-time-symmetric topological superconductor
    text, January 2018

      Sort by:
      [ × clear filter / sort ]

      Similar Records in DOE PAGES and OSTI.GOV collections: