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Title: Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation

Abstract

Here, we investigate the critical Berezinskii-Kosterlitz-Thouless (BKT) behavior of disordered two-dimensional Josephson-junction arrays (JJA) on the insulating side of the superconductor-insulator transition (SIT) taking into account the effect of hitherto ignored residual random dipole moments of the superconducting grains. We show that for weak Josephson coupling the model is equivalent to a Coulomb gas subjected to a disorder potential with logarithmic correlations. We demonstrate that strong enough disorder transforms the BKT divergence of the correlation length, ξBKT ∝ exp (const / √T-TBKT), characterizing the average distance between the unbound topological excitations of the opposite signs, into a more singular Vogel-Fulcher-Tamman (VFT) behavior, ξVFT ∝ exp [const / (T-TVFT)] , which is viewed as a hallmark of glass transitions in glass-forming materials. We further show that the VFT criticality is a precursor of the transition into a nonergodic superinsulating state, while the BKT critical behavior implies freezing into an ergodic confined BKT state. Finally, our finding sheds light on the yet unresolved problem of the origin of the VFT criticality.

Authors:
 [1];  [2];  [1]
  1. Tata Institute of Fundamental Research, Mumbai (India). Department of Theoretical Physics
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
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). Materials Sciences & Engineering Division; India Department of Science and Technology; USDOE
OSTI Identifier:
1425218
Alternate Identifier(s):
OSTI ID: 1417692
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 2; 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

Sankar, S., Vinokur, V. M., and Tripathi, V. Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.020507.
Sankar, S., Vinokur, V. M., & Tripathi, V. Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation. United States. doi:10.1103/PhysRevB.97.020507.
Sankar, S., Vinokur, V. M., and Tripathi, V. Mon . "Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation". United States. doi:10.1103/PhysRevB.97.020507. https://www.osti.gov/servlets/purl/1425218.
@article{osti_1425218,
title = {Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation},
author = {Sankar, S. and Vinokur, V. M. and Tripathi, V.},
abstractNote = {Here, we investigate the critical Berezinskii-Kosterlitz-Thouless (BKT) behavior of disordered two-dimensional Josephson-junction arrays (JJA) on the insulating side of the superconductor-insulator transition (SIT) taking into account the effect of hitherto ignored residual random dipole moments of the superconducting grains. We show that for weak Josephson coupling the model is equivalent to a Coulomb gas subjected to a disorder potential with logarithmic correlations. We demonstrate that strong enough disorder transforms the BKT divergence of the correlation length, ξBKT ∝ exp (const / √T-TBKT), characterizing the average distance between the unbound topological excitations of the opposite signs, into a more singular Vogel-Fulcher-Tamman (VFT) behavior, ξVFT ∝ exp [const / (T-TVFT)] , which is viewed as a hallmark of glass transitions in glass-forming materials. We further show that the VFT criticality is a precursor of the transition into a nonergodic superinsulating state, while the BKT critical behavior implies freezing into an ergodic confined BKT state. Finally, our finding sheds light on the yet unresolved problem of the origin of the VFT criticality.},
doi = {10.1103/PhysRevB.97.020507},
journal = {Physical Review B},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
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Cited by: 2 works
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Figures / Tables:

Figure 1 Figure 1: A sketch of the phase diagram of the superinsulating state and critical behaviours of a two-dimensional Josephson-junction disordered array in disorder-temperaure coordinates. Disorder being considered is the quenched random dipole moments of the grains. In the superinsulating phase, the probability of single charge excitations is zero. The transitionmore » to the conducting state occurs via the proliferation of the single charge excitations generated either thermally or by disorder. The former leads to the BKT criticality, given by Eq. (1), while the latter results in VFT behavior of Eq. (2). The dotted line η = T/2EC, separates the nonergodic region (shaded green), where the charge dipoles freeze (their free energy becomes independent of temperature), from the ergodic region (shaded blue) where a fi nite entropy is associated with the charge dipoles which can appear anywhere. Likewise, the VFT critical region is nonergodic and conducting, while the BKT critical region is ergodic and conducting.« less

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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.