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Title: Scaling universality at the dynamic vortex Mott transition

Abstract

The cleanest way to observe a dynamic Mott insulator-to-metal transition (DMT) without the interference from disorder and other effects inherent to electronic and atomic systems, is to employ the vortex Mott states formed by superconducting vortices in a regular array of pinning sites. Here, we report the critical behavior of the vortex system as it crosses the DMT line, driven by either current or temperature. We find universal scaling with respect to both, expressed by the same scaling function and characterized by a single critical exponent coinciding with the exponent for the thermodynamic Mott transition. We develop a theory for the DMT based on the parity reflection-time reversal (PT) symmetry breaking formalism and find that the nonequilibrium-induced Mott transition has the same critical behavior as the thermal Mott transition. Our findings demonstrate the existence of physical systems in which the effect of a nonequilibrium drive is to generate an effective temperature and hence the transition belonging in the thermal universality class.

Authors:
 [1];  [2];  [1];  [3];  [4];  [1];  [1];  [1];  [5];  [6];  [7];  [8]
  1. Univ. of Twente, Enschede (Netherlands). MESA+ Inst. for Nanotechnology
  2. Harvard Univ., Cambridge, MA (United States)
  3. Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Chicago, IL (United States)
  4. Tata Inst. of Fundamental Research, Mumbai (India)
  5. Univ. of Twente, Enschede (Netherlands). MESA+ Inst. for Nanotechnology; Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation)
  6. Argonne National Lab. (ANL), Argonne, IL (United States); Tata Inst. of Fundamental Research, Mumbai (India)
  7. Argonne National Lab. (ANL), Argonne, IL (United States); Novosibirsk State Univ. (Russian Federation); Univ. Autonoma de Madrid (Spain); A. V. Rzhanov Inst. of Semiconductor Physics, Novosibirsk (Russian Federation)
  8. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
Russian Science Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1425288
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:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Lankhorst, M., Poccia, N., Stehno, M. P., Galda, A., Barman, H., Coneri, F., Hilgenkamp, H., Brinkman, A., Golubov, A. A., Tripathi, V., Baturina, T. I., and Vinokur, V. M. Scaling universality at the dynamic vortex Mott transition. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.020504.
Lankhorst, M., Poccia, N., Stehno, M. P., Galda, A., Barman, H., Coneri, F., Hilgenkamp, H., Brinkman, A., Golubov, A. A., Tripathi, V., Baturina, T. I., & Vinokur, V. M. Scaling universality at the dynamic vortex Mott transition. United States. doi:10.1103/PhysRevB.97.020504.
Lankhorst, M., Poccia, N., Stehno, M. P., Galda, A., Barman, H., Coneri, F., Hilgenkamp, H., Brinkman, A., Golubov, A. A., Tripathi, V., Baturina, T. I., and Vinokur, V. M. Wed . "Scaling universality at the dynamic vortex Mott transition". United States. doi:10.1103/PhysRevB.97.020504. https://www.osti.gov/servlets/purl/1425288.
@article{osti_1425288,
title = {Scaling universality at the dynamic vortex Mott transition},
author = {Lankhorst, M. and Poccia, N. and Stehno, M. P. and Galda, A. and Barman, H. and Coneri, F. and Hilgenkamp, H. and Brinkman, A. and Golubov, A. A. and Tripathi, V. and Baturina, T. I. and Vinokur, V. M.},
abstractNote = {The cleanest way to observe a dynamic Mott insulator-to-metal transition (DMT) without the interference from disorder and other effects inherent to electronic and atomic systems, is to employ the vortex Mott states formed by superconducting vortices in a regular array of pinning sites. Here, we report the critical behavior of the vortex system as it crosses the DMT line, driven by either current or temperature. We find universal scaling with respect to both, expressed by the same scaling function and characterized by a single critical exponent coinciding with the exponent for the thermodynamic Mott transition. We develop a theory for the DMT based on the parity reflection-time reversal (PT) symmetry breaking formalism and find that the nonequilibrium-induced Mott transition has the same critical behavior as the thermal Mott transition. Our findings demonstrate the existence of physical systems in which the effect of a nonequilibrium drive is to generate an effective temperature and hence the transition belonging in the thermal universality class.},
doi = {10.1103/PhysRevB.97.020504},
journal = {Physical Review B},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}

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Figures / Tables:

Figure 1 Figure 1: Experimental realization of charge-vortex duality for Mott insulator. (a) A sketch of the device. The device consists of a square array of 270 × 270 superconducting Nb islands on a conducting Au layer. On both sides of the array, a Nb bar is placed to ensure the currentmore » passes through the array homogeneously. The potential difference between the bars is measured as a function of the external current and an external magnetic field perpendicular to the plane of the array. (b) Scanning electron microscopy image of the sample.« less

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