Neutron-Irradiation Effects on the Magnetic-Field-Induced Electronic Phase Transitions in Graphite

Let M be a planar embedded graph, and let [Formula: see text] be its double covering. We count the multiplicity of the ground states of the Laplace operator on [Formula: see text] under certain symmetry constraints. The examples of interest for us are ladder-like graphs made out of n, identical rectangles. We find that in the case of an odd n, the multiplicity of the ground state is 2, and if n, is even, the ground state is simple. This result gives an answer to a conjecture by Parks on the type of phase transitions that can occur in a superconducting ladder: Parks conjectured that in the case when the magnetic field is one half fluxoid per rectangle, the phase transition would be continuous in the case of a ladder made out of two rectangles. Our result indeed implies Parks conjecture and generalizes it to any even ladder. The mathematics of this paper is a mixture of topology, symmetry arguments and comparison theorem between the eigenvalues of Laplace operators on graphs with well chosen boundary conditions.

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On the magnetic-field-induced changes in the parameters of phase transitions

Technical Physics Letters ◽

10.1134/1.1458508 ◽

2002 ◽

Vol 28 (2) ◽

pp. 116-118 ◽

Cited By ~ 15

Author(s):

M. N. Magomedov

Keyword(s):

Magnetic Field ◽

Phase Transitions ◽

Induced Changes ◽

The Magnetic Field

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Successive magnetic-field-induced electronic phase transitions in graphite

Physica B Condensed Matter ◽

10.1016/s0921-4526(01)00380-5 ◽

2001 ◽

Vol 298 (1-4) ◽

pp. 546-550 ◽

Cited By ~ 9

Author(s):

Hiroshi Yaguchi ◽

John Singleton ◽

Tadao Iwata

Keyword(s):

Magnetic Field ◽

Phase Transitions ◽

Electronic Phase

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Interplay of orbital hopping and perpendicular magnetic field in anisotropic phase transitions for Bernal bilayer graphene and hexagonal boron-nitride

Physical Chemistry Chemical Physics ◽

10.1039/c8cp05810e ◽

2019 ◽

Vol 21 (1) ◽

pp. 238-245 ◽

Cited By ~ 12

Author(s):

P. T. T. Le ◽

M. Davoudiniya ◽

M. Yarmohammadi

Keyword(s):

Magnetic Field ◽

Phase Transitions ◽

Boron Nitride ◽

Hexagonal Boron Nitride ◽

Bilayer Graphene ◽

Perpendicular Magnetic Field ◽

Magnetic Field Effects ◽

Field Effects ◽

Electronic Phase ◽

Anisotropic Phase

We theoretically address the perpendicular magnetic field effects on the orbital electronic phase of Bernal bilayer graphene and hexagonal boron-nitride (h-BN).

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Influence of the magnetic field on phase transitions in PrAlO3

Journal of Applied Physics ◽

10.1063/1.3511754 ◽

2010 ◽

Vol 108 (11) ◽

pp. 116102 ◽

Cited By ~ 1

Author(s):

C. Filipič ◽

V. Bobnar ◽

S. Turczynski ◽

D. A. Pawlak ◽

M. Wencka ◽

...

Keyword(s):

Magnetic Field ◽

Phase Transitions ◽

The Magnetic Field

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Аномалии магнитной восприимчивости при фазовых переходах второго рода вне точки Кюри

Физика твердого тела ◽

10.21883/ftt.2018.09.46382.058 ◽

2018 ◽

Vol 60 (9) ◽

pp. 1669

Author(s):

Г.К. Чепурных ◽

В.А. Чёрная ◽

О.Г. Медведовская

Keyword(s):

Magnetic Field ◽

Magnetic Susceptibility ◽

Phase Transitions ◽

Critical Field ◽

Landau Theory ◽

Experimental Investigations ◽

Magnetic Field Direction ◽

Similarity And Difference ◽

The Magnetic Field ◽

Cobalt Fluoride

AbstractTaking into account the inexhaustible interest in studying the peculiarities of physical properties in the neighborhood of phase transitions and the growth of experimental investigations of cobalt fluoride, we have studied the peculiarities of magnetic susceptibility in the vicinity of the critical field H _C at which cobalt fluoride performs the second-order phase transition from the antiferromagnetic phase to the angular phase. It is discovered that in the magnetic field H ‖ C _4, the magnetic susceptibility becomes infinite at H → H _C. It is shown that as the magnetic field direction deviates from the C _4 axis, the magnetic susceptibility in the critical field H _C proves to be finite. It is also shown that the change in the magnetic susceptibility with the change in the magnetic field considerably decreases at extremely insignificant deviations of the field H from the C _4 axis. Since the calculations are performed in terms of the Landau theory of phase transitions, we pay attention to the similarity and difference between the obtained results and those in the vicinity of the Curie point obtained by using the Landau theory of phase transitions.

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