# Fractionalization of angular momentum at finite temperature around a magnetic vortex

## Abstract

Ambiguities in the definition of angular momentum of a quantum-mechanical particle in the presence of a magnetic vortex are reviewed. We show that the long-standing problem of the adequate definition is resolved in the framework of the second-quantized theory at nonzero temperature. Planar relativistic Fermi gas in the background of a point-like magnetic vortex with arbitrary flux is considered, and we find thermal averages, quadratic fluctuations, and correlations of all observables, including angular momentum, in this system. The kinetic definition of angular momentum is picked out unambiguously by the requirement of plausible behaviour for the angular momentum fluctuation and its correlation with fermion number.

- Authors:

- Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 14-b Metrologichna str., Kyiv 03143 (Ukraine) and Physics Department, National Taras Shevchenko University of Kyiv, 2 Academician Glushkov ave., Kyiv 03127 (Ukraine). E-mail: yusitenko@bitp.kiev.ua
- Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 14-b Metrologichna str., Kyiv 03143 (Ukraine)
- (Ukraine)

- Publication Date:

- OSTI Identifier:
- 20976752

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics (New York); Journal Volume: 322; Journal Issue: 4; Other Information: DOI: 10.1016/j.aop.2006.05.006; PII: S0003-4916(06)00118-7; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; FERMI GAS; FERMIONS; FLUCTUATIONS; QUANTUM MECHANICS; RELATIVISTIC RANGE; VORTICES

### Citation Formats

```
Sitenko, Yu.A., Vlasii, N.D., and Physics Department, National Taras Shevchenko University of Kyiv, 2 Academician Glushkov ave., Kyiv 03127.
```*Fractionalization of angular momentum at finite temperature around a magnetic vortex*. United States: N. p., 2007.
Web. doi:10.1016/j.aop.2006.05.006.

```
Sitenko, Yu.A., Vlasii, N.D., & Physics Department, National Taras Shevchenko University of Kyiv, 2 Academician Glushkov ave., Kyiv 03127.
```*Fractionalization of angular momentum at finite temperature around a magnetic vortex*. United States. doi:10.1016/j.aop.2006.05.006.

```
Sitenko, Yu.A., Vlasii, N.D., and Physics Department, National Taras Shevchenko University of Kyiv, 2 Academician Glushkov ave., Kyiv 03127. Sun .
"Fractionalization of angular momentum at finite temperature around a magnetic vortex". United States.
doi:10.1016/j.aop.2006.05.006.
```

```
@article{osti_20976752,
```

title = {Fractionalization of angular momentum at finite temperature around a magnetic vortex},

author = {Sitenko, Yu.A. and Vlasii, N.D. and Physics Department, National Taras Shevchenko University of Kyiv, 2 Academician Glushkov ave., Kyiv 03127},

abstractNote = {Ambiguities in the definition of angular momentum of a quantum-mechanical particle in the presence of a magnetic vortex are reviewed. We show that the long-standing problem of the adequate definition is resolved in the framework of the second-quantized theory at nonzero temperature. Planar relativistic Fermi gas in the background of a point-like magnetic vortex with arbitrary flux is considered, and we find thermal averages, quadratic fluctuations, and correlations of all observables, including angular momentum, in this system. The kinetic definition of angular momentum is picked out unambiguously by the requirement of plausible behaviour for the angular momentum fluctuation and its correlation with fermion number.},

doi = {10.1016/j.aop.2006.05.006},

journal = {Annals of Physics (New York)},

number = 4,

volume = 322,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}

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