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# Exciton condensation in quantum Hall bilayers at total filling ${\nu}_{T}=5$

## Abstract

We introduce the coupled quantum Hall bilayers each at half-filled first excited Landau levels with varying the layer distance. Based on numerical exact diagonalization on torus, we identify two distinct phases separated by a critical layer distance dc. From dc to infinite layer distance, the topological phase is smoothly connected to a direct tensor product of two Moore-Read states, while the interlayer coherence emerges at d < dc characterizedby the xy easy-plane ferromagnetic energy spectra, gapless pseudospin excitations and the finite exciton super-fluid stiffness, corresponding to the exciton superfluid state. More interestingly, the results of the ground state fidelity, the evolution of energy spectra, and the superfluid stiffness indicate a possible continuous transition.Theoretically it can be interpreted as a topological phase transition which simultaneously changes the topology of ground state and breaks symmetry, providing a fascinating example of transitions beyond Landau paradigm.

- Authors:

- California State Univ. Northridge (CSUN), Northridge, CA (United States); Harvard Univ., Cambridge, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Harvard Univ., Cambridge, MA (United States); Tsinghua Univ., Beijing (China)
- California State Univ. Northridge (CSUN), Northridge, CA (United States)

- Publication Date:

- Research Org.:
- California State Univ. Northridge (CSUN), Northridge, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

- OSTI Identifier:
- 1513808

- Alternate Identifier(s):
- OSTI ID: 1514730

- Grant/Contract Number:
- [FG02-06ER46305]

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review B

- Additional Journal Information:
- [ Journal Volume: 99; Journal Issue: 20]; 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

```
Zhu, Zheng, Jian, Shao-Kai, and Sheng, D. N. Exciton condensation in quantum Hall bilayers at total filling νT=5. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.201108.
```

```
Zhu, Zheng, Jian, Shao-Kai, & Sheng, D. N. Exciton condensation in quantum Hall bilayers at total filling νT=5. United States. doi:10.1103/PhysRevB.99.201108.
```

```
Zhu, Zheng, Jian, Shao-Kai, and Sheng, D. N. Mon .
"Exciton condensation in quantum Hall bilayers at total filling νT=5". United States. doi:10.1103/PhysRevB.99.201108.
```

```
@article{osti_1513808,
```

title = {Exciton condensation in quantum Hall bilayers at total filling νT=5},

author = {Zhu, Zheng and Jian, Shao-Kai and Sheng, D. N.},

abstractNote = {We introduce the coupled quantum Hall bilayers each at half-filled first excited Landau levels with varying the layer distance. Based on numerical exact diagonalization on torus, we identify two distinct phases separated by a critical layer distance dc. From dc to infinite layer distance, the topological phase is smoothly connected to a direct tensor product of two Moore-Read states, while the interlayer coherence emerges at d < dc characterizedby the xy easy-plane ferromagnetic energy spectra, gapless pseudospin excitations and the finite exciton super-fluid stiffness, corresponding to the exciton superfluid state. More interestingly, the results of the ground state fidelity, the evolution of energy spectra, and the superfluid stiffness indicate a possible continuous transition.Theoretically it can be interpreted as a topological phase transition which simultaneously changes the topology of ground state and breaks symmetry, providing a fascinating example of transitions beyond Landau paradigm.},

doi = {10.1103/PhysRevB.99.201108},

journal = {Physical Review B},

number = [20],

volume = [99],

place = {United States},

year = {2019},

month = {5}

}

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