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:
-
- 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. https://doi.org/10.1103/PhysRevB.96.195110
Dehghani, Hossein, and Mitra, Aditi. Thu .
"Dynamical generation of superconducting order of different symmetries in hexagonal lattices". United States. https://doi.org/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 = {Thu Nov 02 00:00:00 EDT 2017},
month = {Thu Nov 02 00:00:00 EDT 2017}
}
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