## 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) (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