Polarization of the spontaneous magnetic field and magnetic fluctuations in 
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 anisotropic multiband superconductors

Vadimov, Vasilii; Силаев, М. А.

doi:10.1103/physrevb.98.104504

Cited by 21 publications

(33 citation statements)

References 22 publications

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“…This in turn can produce spontaneous magnetic fields. Spontaneous magnetic fields were indeed shown to occur in various models of s + is states for different kind of inhomogeneities such as impurities and domain walls and their combinations [32,33,41,42], and impurity-like inhomogeneities produced by the local heating of a superconductor [29,30]. In this section we report that spontaneous magnetic fields arise when there are gradients of impurity density.…”

Section: Effects Of Spatial Gradients In Impurity Densitymentioning

confidence: 78%

Properties of dirty two-band superconductors with repulsive interband interaction: Normal modes, length scales, vortices, and magnetic response

et al. 2018

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Publisher's PDF Garaud, Julien; Corticelli, Alberto; Silaev, Mikhail; Babaev, Egor Garaud, J., Corticelli, A., Silaev, M., & Babaev, E. (2018) Disorder in two-band superconductors with repulsive interband interaction induces a frustrated competition between the phase-locking preferences of the various potential and kinetic terms. This frustrated interaction can result in the formation of an s + is superconducting state that breaks the time-reversal symmetry. In this paper we study the normal modes and their associated coherence lengths in such materials. We especially focus on the consequences of the soft modes stemming from the frustration and time-reversal symmetry breakdown. We find that two-band superconductors with such impurity-induced frustrated interactions display a rich spectrum of physical properties that are absent in their clean counterparts. It features a mixing of Leggett's and Anderson-Higgs modes, and a soft mode with diverging coherence length at the impurity-induced second-order phase transition from s ± /s ++ states to the s + is state. Such a soft mode generically results in long-range attractive intervortex forces that can trigger the formation of vortex clusters. We find that, if such clusters are formed, their size and internal flux density have a characteristic temperature dependence that could be probed in muon-spin-rotation experiments. We also comment on the appearance of spontaneous magnetic fields due to spatially varying impurities.

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Section: Effects Of Spatial Gradients In Impurity Densitymentioning

confidence: 78%

Properties of dirty two-band superconductors with repulsive interband interaction: Normal modes, length scales, vortices, and magnetic response

et al. 2018

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“…In isotropic superconductors, domain walls are associated with zero magnetic field, unless the domain wall is attached to an inhomogeneous pinning center or there is an underlying density inhomogeneity [9,12,13]. However, in the presence of anisotropies, it has been shown that the magnetic field is coupled with phase difference gradients [15,[26][27][28] and with matter field density gradients [30]. This would suggest that anisotropies could principally alter the magnetic signatures of domain walls in s + is and s + id systems.…”

Section: Ginzburg-landau Formulationmentioning

confidence: 99%

“…Several proposals were made to distinguish between s + is and s + id states from various configurations of impurities [10][11][12][13][14]. In the most recent proposal [15], it was suggested that for models relevant for Ba 1−x K x Fe 2 As 2 one can distinguish between s + is and s + id superconductors. It also supported the material being a s + is state [2].…”

Section: Introductionmentioning

confidence: 99%

Magnetic signatures of domain walls in s+is and s+id superconductors: Observability and what that can tell us about the superconducting order parameter

et al. 2020

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One of the defining features of spontaneously broken time-reversal symmetry (BTRS) is the existence of domain walls, the detection of which would be strong evidence for such systems. There is keen interest in BTRS currently, in part, due to recent muon spin rotation experiments, which have pointed towards Ba 1−x K x Fe 2 As 2 exhibiting a remarkable case of s-wave superconductivity with spontaneously broken time-reversal symmetry. A key question, however, is how to differentiate between the different theoretical models which describe such a state. Two particularly popular choices of model are s + is and s + id superconducting states. In this paper, we obtain solutions for domain walls in s + is and s + id systems, including the effects of lattice anisotropies. We show that, in general, both models exhibit spontaneous magnetic fields that extend along the entire length of the domain wall. We demonstrate the qualitative difference between the magnetic signatures of s + is and s + id domain walls and propose a procedure to extract the superconducting pairing symmetry from the magnetic-field response of domain walls.

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“…Hence the system exhibits broken time reversal symmetry. Note that, although our focus below will be on the example of p + ip superconductors, the model is very general, also describing other BTRS states such as s + is and s + id superconductors [19,20]. Our results obtained below apply also to such states when anisotropy is present.…”

Section: Introductionmentioning

confidence: 87%

“…The Meissner state at a superconductor-insulator interface in the model(20) with V0 = 3, ν = −0.95, χ = 0 and external field H = 0.3 for two different boundary orientations: ϕ = 0 (top set of plots) and ϕ = π/3 (bottom set of plots).…”

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confidence: 99%

Chiral p -wave superconductors have complex coherence and magnetic field penetration lengths

2019

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We show that in superconductors that break time reversal symmetry and have anisotropy, such as p + ip materials, all order parameters and magnetic modes are mixed. Excitation of the gap fields produces an excitation of the magnetic field and vice versa. Correspondingly the long-range decay of the magnetic field and order parameter are in general given by the same exponent. Thus one cannot characterize p + ip superconductors by the usual coherence and magnetic field penetration lengths. Instead the system has normal modes that are associated with linear combinations of magnetic fields, moduli of and phases of the order parameter components. Each such normal mode has its own decay length that plays the role of a hybridized coherence/magnetic field penetration length. On a large part of the parameter space these exponents are complex. Therefore the system in general has damped oscillatory decay of the magnetic field accompanied by damped oscillatory variation of the order parameter fields. PACS numbers:arXiv:1905.07296v1 [cond-mat.supr-con]

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Polarization of the spontaneous magnetic field and magnetic fluctuations in s+is anisotropic multiband superconductors

Cited by 21 publications

References 22 publications

Properties of dirty two-band superconductors with repulsive interband interaction: Normal modes, length scales, vortices, and magnetic response

Properties of dirty two-band superconductors with repulsive interband interaction: Normal modes, length scales, vortices, and magnetic response

Magnetic signatures of domain walls in s+is and s+id superconductors: Observability and what that can tell us about the superconducting order parameter

Chiral p -wave superconductors have complex coherence and magnetic field penetration lengths

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