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Title: Dynamical generation of superconducting order of different symmetries in hexagonal lattices

Abstract

The growth of superconducting order after an interaction quench in a hexagonal lattice is studied. The cases of both time-reversal (TR) preserving graphene, as well as the TR broken Haldane model are explored. Spin singlet superconducting order is studied where the s, d+id, and d-id wave orders are the irreducible representations of the hexagonal lattice. For small quenches, the d-wave order parameter grows the fastest, a result also expected when the system is in thermal equilibrium. For the TR symmetry preserving case, the growth rate of the two d-wave orders is identical, while the TR-broken case prefers one of the chiral d-wave orders over the other, leading to a TR broken topological superconductor. As the interaction quench becomes larger, a smooth crossover is found where eventually the growth rate of the s-wave becomes the largest. Therefore for large interaction quenches, the s-wave is preferred over the d-wave for both TR preserving and TR broken systems. Our result is explained in terms of the high energy quasi-particles responsible for the dynamics as the interaction quench amplitude grows. The results are relevant for time-resolved measurements that can probe the symmetry of the superconducting fluctuations in a transient regime.

Authors:
 [1];  [1]
  1. New York Univ. (NYU), NY (United States). Dept. of Physics
Publication Date:
Research Org.:
New York Univ. (NYU), NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1407945
Alternate Identifier(s):
OSTI ID: 1406649
Grant/Contract Number:  
SC0010821
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 19; 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

Dehghani, Hossein, and Mitra, Aditi. Dynamical generation of superconducting order of different symmetries in hexagonal lattices. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.195110.
Dehghani, Hossein, & Mitra, Aditi. Dynamical generation of superconducting order of different symmetries in hexagonal lattices. United States. doi:10.1103/PhysRevB.96.195110.
Dehghani, Hossein, and Mitra, Aditi. Thu . "Dynamical generation of superconducting order of different symmetries in hexagonal lattices". United States. doi:10.1103/PhysRevB.96.195110. https://www.osti.gov/servlets/purl/1407945.
@article{osti_1407945,
title = {Dynamical generation of superconducting order of different symmetries in hexagonal lattices},
author = {Dehghani, Hossein and Mitra, Aditi},
abstractNote = {The growth of superconducting order after an interaction quench in a hexagonal lattice is studied. The cases of both time-reversal (TR) preserving graphene, as well as the TR broken Haldane model are explored. Spin singlet superconducting order is studied where the s, d+id, and d-id wave orders are the irreducible representations of the hexagonal lattice. For small quenches, the d-wave order parameter grows the fastest, a result also expected when the system is in thermal equilibrium. For the TR symmetry preserving case, the growth rate of the two d-wave orders is identical, while the TR-broken case prefers one of the chiral d-wave orders over the other, leading to a TR broken topological superconductor. As the interaction quench becomes larger, a smooth crossover is found where eventually the growth rate of the s-wave becomes the largest. Therefore for large interaction quenches, the s-wave is preferred over the d-wave for both TR preserving and TR broken systems. Our result is explained in terms of the high energy quasi-particles responsible for the dynamics as the interaction quench amplitude grows. The results are relevant for time-resolved measurements that can probe the symmetry of the superconducting fluctuations in a transient regime.},
doi = {10.1103/PhysRevB.96.195110},
journal = {Physical Review B},
number = 19,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}

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Works referenced in this record:

The electronic properties of graphene
journal, January 2009

  • Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
  • Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
  • DOI: 10.1103/RevModPhys.81.109