# An Exact SU(2) Symmetry and Persistent Spin Helix ina Spin-orbit Coupled System

## Abstract

Spin-orbit coupled systems generally break the spin rotation symmetry. However, for a model with equal Rashba and Dresselhauss coupling constant (the ReD model), and for the [110] Dresselhauss model, a new type of SU(2) spin rotation symmetry is discovered. This symmetry is robust against spin-independent disorder and interactions, and is generated by operators whose wavevector depends on the coupling strength. It renders the spin lifetime infinite at this wavevector, giving rise to a Persistent Spin Helix (PSH). We obtain the spin fluctuation dynamics at, and away, from the symmetry point, and suggest experiments to observe the PSH.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center (SLAC)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 898147

- Report Number(s):
- SLAC-PUB-12313

TRN: US0700572

- DOE Contract Number:
- AC02-76SF00515

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Lettters

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SU-2 GROUPS; COUPLING CONSTANTS; FLUCTUATIONS; LIFETIME; ROTATION; SPIN; SYMMETRY; Accelerators,ACCSYS

### Citation Formats

```
Bernevig, B.A., /Stanford U., Phys. Dept. /Santa Barbara, KITP, Orenstein, J., /LBL, Berkeley /UC, Berkeley, Zhang, Shou-Cheng, and /Stanford U., Phys. Dept..
```*An Exact SU(2) Symmetry and Persistent Spin Helix ina Spin-orbit Coupled System*. United States: N. p., 2007.
Web.

```
Bernevig, B.A., /Stanford U., Phys. Dept. /Santa Barbara, KITP, Orenstein, J., /LBL, Berkeley /UC, Berkeley, Zhang, Shou-Cheng, & /Stanford U., Phys. Dept..
```*An Exact SU(2) Symmetry and Persistent Spin Helix ina Spin-orbit Coupled System*. United States.

```
Bernevig, B.A., /Stanford U., Phys. Dept. /Santa Barbara, KITP, Orenstein, J., /LBL, Berkeley /UC, Berkeley, Zhang, Shou-Cheng, and /Stanford U., Phys. Dept.. Mon .
"An Exact SU(2) Symmetry and Persistent Spin Helix ina Spin-orbit Coupled System". United States.
doi:. https://www.osti.gov/servlets/purl/898147.
```

```
@article{osti_898147,
```

title = {An Exact SU(2) Symmetry and Persistent Spin Helix ina Spin-orbit Coupled System},

author = {Bernevig, B.A. and /Stanford U., Phys. Dept. /Santa Barbara, KITP and Orenstein, J. and /LBL, Berkeley /UC, Berkeley and Zhang, Shou-Cheng and /Stanford U., Phys. Dept.},

abstractNote = {Spin-orbit coupled systems generally break the spin rotation symmetry. However, for a model with equal Rashba and Dresselhauss coupling constant (the ReD model), and for the [110] Dresselhauss model, a new type of SU(2) spin rotation symmetry is discovered. This symmetry is robust against spin-independent disorder and interactions, and is generated by operators whose wavevector depends on the coupling strength. It renders the spin lifetime infinite at this wavevector, giving rise to a Persistent Spin Helix (PSH). We obtain the spin fluctuation dynamics at, and away, from the symmetry point, and suggest experiments to observe the PSH.},

doi = {},

journal = {Physical Review Lettters},

number = ,

volume = ,

place = {United States},

year = {Mon Jan 22 00:00:00 EST 2007},

month = {Mon Jan 22 00:00:00 EST 2007}

}

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