# Effective Field Theory of Fractional Quantized Hall Nematics

## Abstract

We present a Landau-Ginzburg theory for a fractional quantized Hall nematic state and the transition to it from an isotropic fractional quantum Hall state. This justifies Lifshitz-Chern-Simons theory - which is shown to be its dual - on a more microscopic basis and enables us to compute a ground state wave function in the symmetry-broken phase. In such a state of matter, the Hall resistance remains quantized while the longitudinal DC resistivity due to thermally-excited quasiparticles is anisotropic. We interpret recent experiments at Landau level filling factor {nu} = 7/3 in terms of our theory.

- Authors:

- Publication Date:

- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1042668

- Report Number(s):
- SLAC-PUB-15064

arXiv:1104.0256; TRN: US201212%%872

- DOE Contract Number:
- AC02-76SF00515

- Resource Type:
- Journal Article

- Journal Name:
- Phys.Rev.B84:195124,2011

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 19

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; GROUND STATES; WAVE FUNCTIONS; GINZBURG-LANDAU THEORY; General Physics, Theory-HEP,HEPTH, MATSCI

### Citation Formats

```
Mulligan, Michael, /MIT, LNS, Nayak, Chetan, /Station Q, UCSB, Kachru, Shamit, and /Stanford U., Phys. Dept. /SLAC.
```*Effective Field Theory of Fractional Quantized Hall Nematics*. United States: N. p., 2012.
Web.

```
Mulligan, Michael, /MIT, LNS, Nayak, Chetan, /Station Q, UCSB, Kachru, Shamit, & /Stanford U., Phys. Dept. /SLAC.
```*Effective Field Theory of Fractional Quantized Hall Nematics*. United States.

```
Mulligan, Michael, /MIT, LNS, Nayak, Chetan, /Station Q, UCSB, Kachru, Shamit, and /Stanford U., Phys. Dept. /SLAC. Wed .
"Effective Field Theory of Fractional Quantized Hall Nematics". United States. https://www.osti.gov/servlets/purl/1042668.
```

```
@article{osti_1042668,
```

title = {Effective Field Theory of Fractional Quantized Hall Nematics},

author = {Mulligan, Michael and /MIT, LNS and Nayak, Chetan and /Station Q, UCSB and Kachru, Shamit and /Stanford U., Phys. Dept. /SLAC},

abstractNote = {We present a Landau-Ginzburg theory for a fractional quantized Hall nematic state and the transition to it from an isotropic fractional quantum Hall state. This justifies Lifshitz-Chern-Simons theory - which is shown to be its dual - on a more microscopic basis and enables us to compute a ground state wave function in the symmetry-broken phase. In such a state of matter, the Hall resistance remains quantized while the longitudinal DC resistivity due to thermally-excited quasiparticles is anisotropic. We interpret recent experiments at Landau level filling factor {nu} = 7/3 in terms of our theory.},

doi = {},

url = {https://www.osti.gov/biblio/1042668},
journal = {Phys.Rev.B84:195124,2011},

number = 19,

volume = 84,

place = {United States},

year = {2012},

month = {6}

}

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