Spontaneous non-Hermiticity in the (2+1)-dimensional Gross-Neveu model

Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N.

doi:10.48550/arxiv.2112.13012

Cited by 1 publication

(1 citation statement)

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“…Let us recall also that chiral symmetry and its breaking can be seen as a way of describing the metalinsulator phase transition in these planar systems. Thus, the study of chiral symmetry breaking in planar systems by GN-like four-fermion interactions has become a useful tool for qualitative analysis of the two-dimensional system and which have been used successfully already in many different contexts [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Tilted Dirac cone effects in superconducting phase transitions in planar four-fermion models

Gomes¹,

Ramos²

2022

Preprint

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The chiral and superconducting gaps are studied in the context of a planar fermion model with four-fermion interactions. The effect of the tilt of the Dirac cone on both gaps is shown and discussed. The changes caused by the presence of a non-null chemical potential are also analyzed. Our results point to two different behaviors exhibited by planar fermionic systems. For values of the effective tilt parameter | t| < t * , where t * ≈ 0.55, the superconducting phase persists for negative values of the superconducting coupling constant. For positive values of the superconducting coupling constant, the induction of a superconducting gap by a chemical potential exists and which is similar as seen in graphene-like systems. For | t| > t * and for a positive superconducting coupling constant, the superconducting phase can be present, but it is restricted to a smaller area in the phase portrait. Finally, our analysis shows that, in the case of positive values for the superconducting coupling constant, the induction of a superconducting gap in the presence of a chemical potential is ruled out and the increase of the chemical potential works in favor of the manifestation of a metallic phase.

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