skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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)
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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Transient Increase of the Energy Gap of Superconducting NbN Thin Films Excited by Resonant Narrow-Band Terahertz Pulses
journal, June 2013


Many-body physics with ultracold gases
journal, July 2008

  • Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
  • Reviews of Modern Physics, Vol. 80, Issue 3
  • DOI: 10.1103/RevModPhys.80.885

Resonating valence bonds and mean-field d -wave superconductivity in graphite
journal, April 2007


Tracking Cooper Pairs in a Cuprate Superconductor by Ultrafast Angle-Resolved Photoemission
journal, May 2012


Quantum quench phase diagrams of an s -wave BCS-BEC condensate
journal, March 2015


Light-Induced Superconductivity in a Stripe-Ordered Cuprate
journal, January 2011


Theory of light-enhanced phonon-mediated superconductivity
journal, April 2016


Chiral superconductivity from repulsive interactions in doped graphene
journal, January 2012

  • Nandkishore, Rahul; Levitov, L. S.; Chubukov, A. V.
  • Nature Physics, Vol. 8, Issue 2
  • DOI: 10.1038/nphys2208

Photovoltaic Hall effect in graphene
journal, February 2009


Heating and many-body resonances in a periodically driven two-band system
journal, April 2016


Optical Hall conductivity of a Floquet topological insulator
journal, October 2015


Nodal quasiparticle meltdown in ultrahigh-resolution pump–probe angle-resolved photoemission
journal, July 2011

  • Graf, J.; Jozwiak, C.; Smallwood, C. L.
  • Nature Physics, Vol. 7, Issue 10
  • DOI: 10.1038/nphys2027

Transient Dynamics of d -Wave Superconductors after a Sudden Excitation
journal, December 2015


Transient superconductivity from electronic squeezing of optically pumped phonons
journal, January 2017

  • Kennes, Dante M.; Wilner, Eli Y.; Reichman, David R.
  • Nature Physics, Vol. 13, Issue 5
  • DOI: 10.1038/nphys4024

Theory of Laser-Controlled Competing Superconducting and Charge Orders
journal, February 2017


Many-body energy localization transition in periodically driven systems
journal, June 2013


Light-enhanced electron-phonon coupling from nonlinear electron-phonon coupling
journal, May 2017


Enhanced electron-phonon coupling in graphene with periodically distorted lattice
journal, January 2017


Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems
journal, January 2017


Out-of-equilibrium electrons and the Hall conductance of a Floquet topological insulator
journal, April 2015


Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
journal, March 2016


Exponentially Slow Heating in Periodically Driven Many-Body Systems
journal, December 2015


Dynamical Cooper pairing in nonequilibrium electron-phonon systems
journal, December 2016


Experimental realization of the topological Haldane model with ultracold fermions
journal, November 2014

  • Jotzu, Gregor; Messer, Michael; Desbuquois, Rémi
  • Nature, Vol. 515, Issue 7526
  • DOI: 10.1038/nature13915

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988


Occupation probabilities and current densities of bulk and edge states of a Floquet topological insulator
journal, May 2016


Resonating-valence-bond contribution to superconductivity in MgB 2
journal, May 2002


Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
journal, April 2016


Observation of Resonance Condensation of Fermionic Atom Pairs
journal, January 2004


Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels
journal, December 2011


The ‘Higgs’ amplitude mode at the two-dimensional superfluid/Mott insulator transition
journal, July 2012

  • Endres, Manuel; Fukuhara, Takeshi; Pekker, David
  • Nature, Vol. 487, Issue 7408
  • DOI: 10.1038/nature11255

Possible light-induced superconductivity in K3C60 at high temperature
journal, February 2016

  • Mitrano, M.; Cantaluppi, A.; Nicoletti, D.
  • Nature, Vol. 530, Issue 7591
  • DOI: 10.1038/nature16522

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

Postquench dynamics and prethermalization in a resonant Bose gas
journal, March 2016


Long-time Behavior of Isolated Periodically Driven Interacting Lattice Systems
journal, December 2014


Quench-Induced Floquet Topological p -Wave Superfluids
journal, August 2014


Condensation of Pairs of Fermionic Atoms near a Feshbach Resonance
journal, March 2004


Strain-induced time-reversal odd superconductivity in graphene
journal, July 2014


Spectroscopic probes of isolated nonequilibrium quantum matter: Quantum quenches, Floquet states, and distribution functions
journal, November 2015


Time- and momentum-resolved gap dynamics in Bi 2 Sr 2 CaCu 2 O 8 + δ
journal, March 2014

  • Smallwood, Christopher L.; Zhang, Wentao; Miller, Tristan L.
  • Physical Review B, Vol. 89, Issue 11
  • DOI: 10.1103/PhysRevB.89.115126

Chiral d -wave superconductivity in doped graphene
journal, September 2014


Artificial Graphene with Tunable Interactions
journal, October 2013


High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
journal, September 2015


    Works referencing / citing this record:

    Cavity quantum electrodynamical Chern insulator: Towards light-induced quantized anomalous Hall effect in graphene
    journal, June 2019


    Cavity quantum electrodynamical Chern insulator: Towards light-induced quantized anomalous Hall effect in graphene
    journal, June 2019


    Universal optical control of chiral superconductors and Majorana modes
    journal, May 2019


    Distinguishing Majorana zero modes from impurity states through time-resolved transport
    journal, October 2019

    • Tuovinen, Riku; Perfetto, Enrico; Leeuwen, Robert van
    • New Journal of Physics, Vol. 21, Issue 10
    • DOI: 10.1088/1367-2630/ab4ab7