Statistical Mechanics of Relativistic Aynon-like Systems
| dc.creator | Huang, Suzhou | |
| dc.creator | Schreiber, Bernd | |
| dc.date | 1994-04-25 | |
| dc.date.accessioned | 2026-07-07T03:07:14Z | |
| dc.date.available | 2026-07-07T03:07:14Z | |
| dc.description | To study the manifestation of the Aharonov-Bohm effect in many-body systems we consider the statistical mechanics of the Gross-Neveu model on a ring (1+1 dimensions) and on a cylinder (2+1 dimensions) with a thin solenoid coinciding with the axis. For such systems with a non-trivial magnetic flux ($θ$) many thermodynamical observables, such as the order parameter, induced current and virial coefficients, display periodic but non-analytic dependence on $θ$. In the 2+1 dimensional case we further find that there is an interval of $θ\in(1/3,2/3)$ (modulo integers) where parity is always spontaneously broken, independent of the circumference of the cylinder. We show that the mean-field character of the phase transitions is preserved to the leading order in $1/N$, by verifying the $θ$-independence of all the critical exponents. The precise nature of the quasi-particle, locally fermion-like and globally anyon-like, is illuminated through the calculation of the equal-time commutator and the decomposition of the propagator into a sum over paths classified by winding numbers. | |
| dc.description | 17 pages in Retex, plus 4 figures (appended at the end in ps form), MIT-CTP#2301 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9404080 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9404080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27097 | |
| dc.subject | Condensed Matter | |
| dc.title | Statistical Mechanics of Relativistic Aynon-like Systems | |
| dc.type | text |