https://doi.org/10.1140/epjc/s10052-017-5301-z
Regular Article - Theoretical Physics
Influence of external magnetic field, finite-size effects and chemical potential on the phase transition of a complex scalar field
1
Centro Brasileiro de Pesquisas Físicas/MCTI, Rio de Janeiro, RJ, 22290-180, Brazil
2
Instituto de Física, Universidade do Estado do Rio de Janeiro, Rio de Janeiro, RJ, 20559-900, Brazil
* e-mail: erich@cbpf.br
Received:
25
January
2017
Accepted:
12
October
2017
Published online:
26
October
2017
A scalar model is built, as a quantum field theory defined on a toroidal topology, to describe a phase transition in films subjected to periodic boundary conditions and influenced by an external and constant magnetic field. Criticality is studied and the relations between the critical temperature, the film thickness, the magnetic field strength and the chemical potential are investigated. Since the model describes a second-order phase transition a comparison with the Ginzburg–Landau theory is made.
© The Author(s), 2017
