Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors

Biderang, Mehdi; Yavari, H.; Zare, Mohammad-Hossein; Thalmeier, Peter; Akbari, Alireza

doi:10.1103/physrevb.98.014524

Cited by 14 publications

(15 citation statements)

References 84 publications

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“…conducting phases. The addition of a magnetic field can either render the bidirectional MF edge modes unidirectional [164][165][166], or open a bulk gap and mediate a transition to a chiral TSC, analogous to a p+ip superconductor. Remarkably, we find that the multiband character of the systems considered here not only allows for a more realistic description, but also results in novel topological superconducting phases and MF edge modes.…”

Section: Summary Of Our Topological Classification Resultsmentioning

confidence: 99%

Topological Superconductivity Induced by Magnetic Texture Crystals

Steffensen,

Christensen,

Andersen

et al. 2020

Preprint

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We present an in-depth classification of the topological phases and Majorana fermion (MF) excitations that arise from the bulk interplay between unconventional multiband spin-singlet superconductivity and various magnetic textures. We focus on magnetic texture crystals with a periodicallyrepeating primitive cell of the helix, whirl, and skyrmion types. Our analysis is relevant for a wide range of layered materials and hybrid devices, and accounts for both strong and weak, as well as crystalline topological phases. We identify a multitude of accessible topological phases which harbor flat, uni-or bi-directional, (quasi-)helical, or chiral MF edge modes. This rich variety of MFs originates from the interplay between topological phases with gapped and nodal bulk energy spectra, with the resulting types of spectra and MFs controlled by the size of the pairing and magnetic gaps.

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Section: Summary Of Our Topological Classification Resultsmentioning

confidence: 99%

Topological Superconductivity Induced by Magnetic Texture Crystals

Steffensen,

Christensen,

Andersen

et al. 2020

Preprint

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“…However, the coexistence of Rashba and Dresselhaus SOCs reduce the symmetry of the spin-orbit field to a two-fold C 2v symmetry. 86,87 Such a symmetry reduction leads to various magnetoanisotropic phenomena in both the normal [88][89][90][91] and superconducting [92][93][94][95][96][97] states as well as crystalline anisotropic phenomena in which the system properties depend on the specific crystallographic orientation and/or transport direction. 61,98,99 The effects of crystalline anisotropy on the topological gap of planar JJs was investigated in Ref.…”

Section: B Effects Of Crystalline Anisotropymentioning

confidence: 99%

Anisotropic topological superconductivity in Josephson junctions

Pekerten,

Pakizer,

Hawn

et al. 2021

Preprint

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We investigate the effects of magnetic and crystalline anisotropies on the topological superconducting state of planar Josephson junctions (JJs). In junctions where only Rashba spin-orbit coupling (SOC) is present, the topological phase diagram is insensitive to the supercurrent direction, but exhibits a strong dependence on the magnetic field orientation. However, when both Rashba and Dresselhaus SOCs coexist, the topological phase diagram strongly depends on both the magnetic field and junction crystallographic orientations. We examine the impact of the magnetic and crystalline anisotropy on the current-phase relation (CPR), energy spectrum, and topological gap of phase-biased JJs, where the junction is connected in a loop and the superconducting phase difference is fixed by a loop-threading magnetic flux. The anisotropic CPR can be used to extract the ground-sate phase (i.e. the superconducting phase difference that minimizes the system free energy) behavior in phase-unbiased JJs with no magnetic flux. Under appropriate conditions, phase-unbiased JJs can self-tune into or out of the topological superconducting state by rotating the in-plane magnetic field. The magnetic field orientations at which topological transitions occur strongly depends on both the junction crystallographic orientation and the relative strength between Rashba and Dresselhaus SOCs. We find that for an optimal practical application, in which the junction exhibits topological superconductivity with a sizeable topological gap, a careful balancing of the magnetic field direction, the junction crystallographic orientation, and the relative strengths of the Rashba and Dresselhaus SOCs is required. We discuss the considerations that must be undertaken to achieve this balancing for various junction types and parameters.

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“…Triggered by the discovery of superconductivity in the non-centrosymmetric (NCS) superconductor CePt 3 Si, the role played by antisymmetric spin-orbit coupling (ASOC) for the electronic and topological properties of a band structure has come into focus [30][31][32][33][34][35][36][37][38][39][40]. One of the most intriguing features of topological non-centrosymmetric superconductors is that they can host Majorana fermions [41,42].…”

Section: Introductionmentioning

confidence: 99%

Spin and charge order in doped spin-orbit coupled Mott insulators

2021

Self Cite

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We study a two-dimensional single band Hubbard Hamiltonian with antisymmetric spin-orbit coupling. We argue that this is the minimal model to understand the electronic properties of locally non-centrosymmetric transition-metal (TM) oxides such as Sr2IrO4. Based on exact diagonalizations of small clusters and the random phase approximation, we investigate the correlation effects on charge and magnetic order as a function of doping and of the TM-oxygen-TM bond angle θ. For small doping and θ 15 • we find dominant commensurate inplane antiferromagnetic fluctuations while ferromagnetic fluctuations dominate for θ 25 • . Moderately strong nearest-neighbor Hubbard interactions can also stabilize a charge density wave order. Furthermore, we compare the dispersion of magnetic excitations for the hole-doped case to resonant inelastic X-ray scattering data and find good qualitative agreement.

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Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors

Cited by 14 publications

References 84 publications

Topological Superconductivity Induced by Magnetic Texture Crystals

Topological Superconductivity Induced by Magnetic Texture Crystals

Anisotropic topological superconductivity in Josephson junctions

Spin and charge order in doped spin-orbit coupled Mott insulators

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