60
Views
0
CrossRef citations to date
0
Altmetric
Part B: Condensed Matter Physics

Inverse freezing in a van Hemmen Fermionic Ising Spin Glass model under transverse and random magnetic fields

, , &
Pages 2347-2360 | Received 16 Jan 2017, Accepted 08 May 2017, Published online: 02 Jun 2017
 

Abstract

The van Hemmen Fermionic Ising Spin Glass (vH FISG) model in the presence of a transverse and a random magnetic field is adopted to study the inverse freezing (IF) transition, without using the replica method to treat the disorder. In this model, the spin interactions are given by a combination of random variables that follow Gaussian distribution. The random field (RF) also follows a Gaussian distribution. The introduction of allow us to investigate the IF under the effects of a disorder which is not a source of frustration. A particularity of this fermionic formalism is that the chemical potential and the provide a magnetic dilution and quantum spin flip mechanism, respectively. The results show a reentrant transition from the spin glass (SG) to the paramagnetic (PM) phase in the absence of and . This reentrance appears for a certain range of , in which is found a PM phase (at low temperatures) with lower entropy than the SG state, characterising the IF. However, the IF is gradually suppressed when the effects are intensified. In addition, the IF is completely destroyed by the quantum fluctuations provided by . Therefore, nontrivial disorder combined with dilution can bring a scenario favourable to the IF occurrence, while random fields and quantum fluctuations are against the IF.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work has been supported by Brazilian agencies Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) and Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.