Predicted Nucleation of Domain Walls in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>p</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo mathvariant="bold">+</mml:mo><mml:mi>i</mml:mi><mml:msub><mml:mi>p</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:math>Superconductors by a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Symmetry-Breaking Transition in External Magnetic Fields

Vadimov, Vasilii; Силаев, М. А.

doi:10.1103/physrevlett.111.177001

Cited by 12 publications

(14 citation statements)

References 55 publications

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“…These domain walls, support spontaneous supercurrent that can generate magnetic fields [15][16][17][18][19][20]. The domain walls in chiral pwave superconductors could be created via Kibble-Zurek mechanism, and these properties can be used for their control [21]. However, in Sr 2 RuO 4 no indication of such a field was found in magnetic imaging microscopy experiments [22][23][24].…”

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confidence: 99%

Properties of skyrmions and multi-quanta vortices in chiral p-wave superconductors

Garaud

Babaev

2015

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Chiral p-wave superconducting state supports a rich spectrum of topological excitations different from those in conventional superconducting states. Besides domain walls separating different chiral states, chiral p-wave state supports both singular and coreless vortices also interpreted as skyrmions. Here, we present a numerical study of the energetic properties of isolated singular and coreless vortex states as functions of anisotropy and magnetic field penetration length. In a given chiral state, single quantum vortices with opposite winding have different energies and thus only one kind is energetically favoured. We find that with the appropriate sign of the phase winding, two-quanta (coreless) vortices are always energetically preferred over two isolated single quanta (singular) vortices. We also report solutions carrying more flux quanta. However those are typically more energetically expensive/metastable as compared to those carrying two flux quanta.

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confidence: 99%

Properties of skyrmions and multi-quanta vortices in chiral p-wave superconductors

Garaud

Babaev

2015

Sci Rep

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“…[4][5][6][7][8][9][10][11][12]. Among them, the simplest topological structures are kinks, which appear in models described by real scalar fields in (1, 1) spacetime dimensions.…”

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confidence: 99%

High temperature effects on compact-like structures

Bazeia¹,

Lima²,

Losano³

2016

Eur. Phys. J. C

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In this work we investigate the transition from kinks to compactons at high temperatures. We deal with a family of models, described by a real scalar field with standard kinematics, controlled by a single parameter, real and positive. The family of models supports kink-like solutions, and the solutions tend to become compact when the parameter increases to larger and larger values. We study the oneloop corrections at finite temperature, to see how the thermal effects add to the effective potential. The results suggest that the symmetry is restored at very high temperatures.

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“…It is well known that going through a phase transition allows uncorrelated regions to fall into different ground states [22,23]. This is the Kibble-Zurek (KZ) mechanism for the formation of topological defects (see [24] for a review, for discussion in the context of chiral p-wave superconductor, see [25]). As different regions fall into either of the Z 2 states, domain walls are created while a superconductor goes through the transition to the broken U(1)×Z 2 state.…”

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“…Namely, in p + ip superconductors, DW carry uniform magnetic field originating from orbital momentum of Cooper pairs (see e.g. [12,14,25]). Here, by contrast, the domain walls carry magnetic field only where they are attached to the boundary and the field inverts its direction so that there is no net flux.…”

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Domain Walls and Their Experimental Signatures ins+isSuperconductors

Garaud

Babaev

2014

Phys. Rev. Lett.

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Arguments were recently advanced that hole-doped Ba1−xKxFe2As2 exhibits s+is state at certain doping. Spontaneous breaking of time reversal symmetry in s + is state, dictates that it possess domain wall excitations. Here, we discuss what are the experimentally detectable signatures of domain walls in s+is state. We find that in this state the domain walls can have dipole-like magnetic signature (in contrast to the uniform magnetic signature of domain walls p + ip superconductors).We propose experiments where quench-induced domain walls can be stabilized by geometric barriers and be observed via their magnetic signature or their influence on the magnetization process, thereby providing an experimental tool to confirm s + is state.The recently discovered iron-based superconductors [1] may exhibit new physics originating in the possible frustration of inter-band couplings between more than two superconducting components [2][3][4][5]. For a two-band superconductor, inter-band Josephson interaction either locks or anti-locks phases, so that the ground state interband phase difference is respectively 0 or π. Similarly, for more than two bands, each inter-band coupling favours (anti-)locking of the two corresponding phases. However, these Josephson terms can collectively compete so that optimal phases are neither locked nor anti-locked. There, the resulting frustrated phase differences are neither 0 nor π. Since it is not invariant under complex conjugation, such a ground state spontaneously breaks the TimeReversal Symmetry (TRS) [2,3]. This is the s + is state, with the spontaneously Broken Time-Reversal Symmetry (BTRS), that recently received strong theoretical support in connection with hole-doped Ba 1−x K x Fe 2 As 2 , [5]. There are also other scenarios for BTRS states in pnictides [6,7], and related multi-component states may possibly exist in other classes of materials [8].Symmetrywise, these BTRS states break the U(1) × Z 2 symmetry. The topological defects associated with the breakdown of a discrete Z 2 symmetry are domain walls (DW) segregating regions of different broken states [9]. Other superconductors with BTRS and having domain walls are the chiral p-wave superconductors. There are evidences for such superconductivity in Sr 2 RuO 4 [10]. For that material, it is predicted that domain walls have magnetic signature and thus can be detected by measuring the magnetic field (see e.g. [11,12]). These signatures were searched for in surface probes measurements, but were not experimentally detected [13]. This led to intense theoretical investigation of possible mechanisms for the field suppression (see e.g. [14]). The problem of interaction of vortices and domain walls in these systems and magnetization process was studied in [15,16]. Domain walls between BTRS states is also highly important in rotational response of 3 He [17]. Aspects of topological defects of s + is states received attention only recently [18][19][20][21]. The remaining question is how domain walls can be created and observed in s + is superco...

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Predicted Nucleation of Domain Walls inpx+ipySuperconductors by aZ2Symmetry-Breaking Transition in External Magnetic Fields

Cited by 12 publications

References 55 publications

Properties of skyrmions and multi-quanta vortices in chiral p-wave superconductors

Properties of skyrmions and multi-quanta vortices in chiral p-wave superconductors

High temperature effects on compact-like structures

Domain Walls and Their Experimental Signatures ins+isSuperconductors

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