Phase diagram of planar U(1)×U(1) superconductor

Babaev, Egor

doi:10.1016/j.nuclphysb.2004.02.021

Cited by 88 publications

(66 citation statements)

References 50 publications

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“…There are many equivalent formulations of the action describing multi-component scalar fields coupled by the Abelian gauge field [4,5,9]. In what follows we will concentrate on the case of two identical non-convertible components and will employ the integer-current lattice representation which can be viewed as either a high-temperature expansion for XY models in three dimensions, or as a path-integral (world-line) representation of the interacting quantum system in discrete imaginary time in (d + 1) = 3 dimensions.…”

Section: Dcp Action and Its Short-range Counterpartmentioning

confidence: 99%

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Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions

et al. 2006

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We perform a comparative Monte Carlo study of the easy-plane deconfined critical point (DCP) action and its short-range counterpart to reveal close similarities between the two models for intermediate and strong coupling regimes. For weak coupling, the structure of the phase diagram depends on the interaction range: while the short-range model features a tricritical point and a continuous U(1)×U(1) transition, the long-range DCP action is characterized by the runaway renormalization flow of coupling into a first (I) order phase transition. We develop a "numerical flowgram" method for high precision studies of the runaway effect, weakly I-order transitions, and polycritical points. We prove that the easy-plane DCP action is the field theory of a weakly I-order phase transition between the valence bond solid and the easy-plane antiferromagnet (or superfluid, in particle language) for any value of the weak coupling strength. Our analysis also solves the long standing problem of what is the ultimate fate of the runaway flow to strong coupling in the theory of scalar electrodynamics in three dimensions with U(1)×U(1) symmetry of quartic interactions.

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Section: Dcp Action and Its Short-range Counterpartmentioning

confidence: 99%

“…[1,2,3,4]), superfluid-valence-bond solid (SF-VBS) transitions in lattice models [5,6,7], the Higgs mechanism in particle physics [8], etc. Recently, the authors of Refs.…”

Section: Introductionmentioning

confidence: 99%

Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions

et al. 2006

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“…It is straightforward to show that for s = 1, the PMI Lagrangian (14) reduces to the standard Maxwell Lagrangian (L Maxwell (F) = −κF). Since the Maxwell invariant is negative, hereafter we set κ = 1, without loss of generality.…”

Section: Class I: Pmi Ned Modelmentioning

confidence: 99%

“…Also, in studying the phase transition and critical behavior of Bose gas [12], it was used widely. Furthermore, it is worthwhile to mention that these topological defects are essential tools in order to study superconductors and their phase transitions [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Three dimensional nonlinear magnetic AdS solutions through topological defects

et al. 2015

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Inspired by large applications of topological defects in describing different phenomena in physics, and considering the importance of three dimensional solutions in AdS/CFT correspondence, in this paper we obtain magnetic anti-de Sitter solutions of nonlinear electromagnetic fields. We take into account three classes of nonlinear electrodynamic models; first two classes are the well-known BornInfeld like models including logarithmic and exponential forms and third class is known as the power Maxwell invariant nonlinear electrodynamics. We investigate the effects of these nonlinear sources on three dimensional magnetic solutions. We show that these asymptotical AdS solutions do not have any curvature singularity and horizon. We also generalize the static metric to the case of rotating solutions and find that the value of the electric charge depends on the rotation parameter. Finally, we consider the quadratic Maxwell invariant as a correction of Maxwell theory and we investigate the effects of nonlinearity as a correction. We study the behavior of the deficit angle in presence of these theories of nonlinearity and compare them with each other. We also show that some cases with negative deficit angle exists which are representing objects with different geometrical structure. We also show that in case of the static only magnetic field exists whereas by boosting the metric to rotating one, electric field appears too.

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“…The critical parameter separates the symmetric and the broken symmetric phases of the model. It is assumed that there is a KT type phase transition between the phases [23], but an LPA investigation cannot account for that. It was shown in the case of the SG model [24] that one should include the next order of the gradient expansion, i.e.…”

Section: Introductionmentioning

confidence: 99%

Degeneracy induced scaling of the correlation length for periodic models

Nagy

2012

Nuclear Physics B

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The broken symmetric phase of scalar models exhibits an infrared fixed point which is induced by the degenerate effective potential. The definition of the correlation length in the infrared regime enables us to determine the type of the phase transition in the model. It is shown that the massive sine-Gordon model exhibits a continuous, while the layered sine-Gordon model has an infinite order Kosterlitz-Thouless type phase transition.

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Phase diagram of planar U(1)×U(1) superconductor

Cited by 88 publications

References 50 publications

Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions

Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions

Three dimensional nonlinear magnetic AdS solutions through topological defects

Degeneracy induced scaling of the correlation length for periodic models

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