First-order transition induced by topological defects in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>principal chiral model

Сорокин, А. О.

doi:10.1103/physrevb.95.094408

Cited by 9 publications

(10 citation statements)

References 64 publications

(80 reference statements)

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“…In this work, we continue to investigate all four cases of frustrated helimagnets using the simple lattice model and Monte Carlo simulations. In particular, we extend the previous results [9,11,13]…”

Section: Introductionsupporting

confidence: 88%

“…As expected, the temperature behavior of a helimagnet demonstrates an explicit crossover at finite temperature ( fig.9). We also find that the Z 2 vortex density defined in the same way as in [13,19,20] has the critical value ( fig.10)…”

Section: N = 3 K =supporting

confidence: 65%

“…Nevertheless, in such systems, one observes an explicit crossover [12] at finite temperature separating the low-temperature O(4)-sigma-model-like behavior and high-temperature one. And as we have shown recently in [13], there is a single first-order transition occurs in the case N = 3, K = 2.…”

Section: Introductionsupporting

confidence: 70%

“…Nevertheless, one observes a crossover between the O(4) σ-model behavior and the high-temperature behavior induced by Z 2 vortices. Recently, we have also considered the system with G/H = SO(3), namely the V 3,2 Stiefel model [13,19].…”

Section: N = 3 K =mentioning

confidence: 99%

“…The authors have found the single second-order phase transition of the Ising type. However, we have investigated the case J 2 /J 1 = 0.5 in [13] and have found that the transition is of first order. Similar behavior observes in the V 3,3 Stiefel model.…”

Section: N = 3 K =mentioning

confidence: 99%

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Topological defects and critical phenomena in two-dimensional frustrated helimagnets

Сорокин

2019

Journal of Magnetism and Magnetic Materials

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Using a simple model of a frustrated helimagnet, the critical behavior is numerically investigated for planar or isotropic spins, and for cases of one or two chiral order parameters. The helical structure in this model arises from the competition between exchange interactions of spins of the first two range orders in one direction (in both directions) of a square lattice. The main result is that the critical and temperature behavior is primarily determined by topological defects that are present in all cases. In the case of planar spins, vortices, fractional vortices and domain walls are present in the system. Their interaction leads to the appearance of the phase of a chiral spin liquid, or induces a single first-order transition, and in the vicinity of the Lifshitz point vortices lead to a reentrant phase transition to the phase with a collinear quasi-long-range order. When transitions in the chiral and continuous order parameters are separated in temperature, they are of the 2D Ising and Kosterlitz-Thouless types correspondingly. In the case of isotropic spins, so-called Z 2 vortices are present. They do not lead to the appearance of a phase with long-range or quasi-long-range order in the case of one chiral order parameter. However, their interaction leads to a sharp change in the temperature dependence of the correlation length (crossover). In the case of two chiral parameters, there are long-range chiral order of the Ising type (chiral spin liquid) and domain walls. However, as a result of the interaction of vortices and walls, the crossover and chiral transition occur at the same temperature as a first-order transition.

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Section: Introductionsupporting

confidence: 88%

Section: N = 3 K =supporting

confidence: 65%

Section: Introductionsupporting

confidence: 70%

Section: N = 3 K =mentioning

confidence: 99%

Section: N = 3 K =mentioning

confidence: 99%

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Topological defects and critical phenomena in two-dimensional frustrated helimagnets

Сорокин

2019

Journal of Magnetism and Magnetic Materials

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Kinklike structures in models of the Dirac–Born–Infeld type

2018

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The present work investigates several models of a single real scalar field, engendering kinetic term of the Dirac-Born-Infeld type. Such theories introduce nonlinearities to the kinetic part of the Lagrangian, which presents a square root restricting the field evolution and including additional powers in derivatives of the scalar field, controlled by a real parameter. In order to obtain topological solutions analytically, we propose a first-order framework that simplifies the equation of motion ensuring solutions that are linearly stable. This is implemented using the deformation method, and we introduce examples presenting two categories of potentials, one having polynomial interactions and the other with nonpolynomial interactions. We also explore how the Dirac-Born-Infeld kinetic term affects the properties of the solutions. In particular, we note that the kinklike solutions are similar to the ones obtained through models with standard kinetic term and canonical potential, but their energy densities and stability potentials vary according to the parameter introduced to control the new models.

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Critical density of topological defects upon a continuous phase transition

Сорокин

2019

Annals of Physics

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Using extensive Monte Carlo simulations, we test the hypothesis that the density of corresponding topological defects has an universal value at the temperature of a continuous phase transition. We consider several simple two-dimensional models where domain walls, vortices, so-called Z 2 vortices or their combinations are presented. These topological defects are relevant correspondingly to an Ising second-order phase transition, a Berezinskii-Kosterlitz Thouless transition and an explicit crossover. We compare results for square and triangular lattices as well as for the complicated situation when two types of defects are presented and two transitions occur separated in temperature. All considered cases demonstrate consentient results confirming the hypothesis.

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First-order transition induced by topological defects in theO(3)principal chiral model

Cited by 9 publications

References 64 publications

Topological defects and critical phenomena in two-dimensional frustrated helimagnets

Topological defects and critical phenomena in two-dimensional frustrated helimagnets

Kinklike structures in models of the Dirac–Born–Infeld type

Critical density of topological defects upon a continuous phase transition

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