Chiral phase transition in a planar four-Fermi model in a tilted magnetic field
| Autor: | Rudnei O. Ramos, Pedro H. A. Manso |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Physics
Chiral anomaly High Energy Physics - Theory Nuclear and High Energy Physics Phase transition Chiral perturbation theory Strongly Correlated Electrons (cond-mat.str-el) Condensed matter physics Spontaneous symmetry breaking FOS: Physical sciences Explicit symmetry breaking High Energy Physics - Phenomenology Condensed Matter - Strongly Correlated Electrons High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Gross–Neveu model Nambu–Jona-Lasinio model Chiral symmetry breaking |
| Popis: | We study a planar four-Fermi Gross-Neveu model in the presence of a tilted magnetic field, with components parallel and perpendicular to the system's plane. We determine how this combination of magnetic field components, when applied simultaneously, affects the phase diagram of the model. It is shown that each component of the magnetic field causes a competing effect on the chiral symmetry in these fermionic systems. While the perpendicular component of the magnetic field tends to make the chiral symmetry breaking stronger, the effect of the parallel component of the field in these planar systems is to weaken the chiral symmetry through the enhancement of the Zeeman energy term. We show that this competing effect, when combined also with temperature and chemical potential, can lead to a rich phase diagram, with the emergence of multiple critical points and reentrant phase transitions. We also study how the presence of these multiple critical points and reentrant phases can manifest in the quantum Hall effect. Our results provide a possible way to probe experimentally chiral symmetry breaking and the corresponding emergence of a gap (i.e., the presence of a nonvanishing chiral vacuum expectation value) in planar condensed matter systems of current interest. 19 pages, 21 eps figures, made a correction to the form of the Zeeman energy term. All results and conclusions remain unaltered. Published version in PRD |
| Databáze: | OpenAIRE |
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