Josephson effect in noncentrosymmetric superconductor junctions

Asano, Yasuhiro; Yamano, Satoshi

doi:10.1103/physrevb.84.064526

Cited by 25 publications

(23 citation statements)

References 59 publications

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“…[68][69][70] Furthermore, flat bands are also expected to occur at the surface of nodal topological superconductors in symmetry class AIII 9,70 (i.e., topological superconductors with TRS that are invariant under rotations about one fixed axis in spin space). Besides the tunneling conductance, the surface flat bands and arc surface states also profoundly affect other surface and interface properties of NCSs, such as Josephson tunneling, 71 the nonlinear Meissner effect, and surface thermal transport. The investigation of these interesting boundary properties are left for future work.…”

Section: Discussionmentioning

confidence: 99%

Types of topological surface states in nodal noncentrosymmetric superconductors

2012

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Nodal noncentrosymmetric superconductors have topologically nontrivial properties manifested by protected zero-energy surface states. Specifically, it was recently found that zero-energy surface flat bands of topological origin appear at their surface. We show that the presence of certain inversion-type lattice symmetries can give rise to additional topological features of the gap nodes, resulting in surface states forming one-dimensional arcs connecting the projections of two nodal rings. In addition, we demonstrate that Majorana surface states can appear at time-reversal-invariant momenta of the surface Brillouin zone, even when the system is not fully gapped in the bulk. Within a continuum theory we derive the topological invariants that protect these different types of zero-energy surface states. We independently derive general conditions for the existence of zero-energy surface bound states using the complementary quasiclassical scattering theory, explicitly taking into account the effects of spin-orbit splitting of the bands. We compute surface bound-state spectra for various crystal point-group symmetries and orbital-angular-momentum pairing states. Finally, we examine the signatures of the arc surface states and of the zero-energy surface flat bands in tunneling-conductance spectra and dicuss how topological phase transitions in noncentrosymmetric superconductors could be observed in experiments.

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Section: Discussionmentioning

confidence: 99%

Types of topological surface states in nodal noncentrosymmetric superconductors

2012

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“…For temperature lower than the critical one T c as shown in Fig.6(c), the minimum free energy localed at φ = 5.24 for temperature lower than 0.6T c , while it localed at φ = 5.48 for temperature larger or equals 0.6T c as shown in Fig.6(b). In contrast to the Rashba-coupling-induced helical p-wave spintriplet superconductor, the Josephson current of conventional s-wave superconductor saturates at low-temperature (e.g., at T < 0.6T c ) [29], and the free energy doesn't change gradually with the variational temperature.…”

Section: Resultsmentioning

confidence: 93%

Electric Field and Light Field Modulated Josephson Effect in Silicene-Based SNS Josephson Junction: Andreev Reflection and Free Energy

2019

Silicon

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We investigate the Josephson effcet in superconductor-normal-superconductor junction (SNS) base on the doped unbiased silicene under the perpendicular electric field and off-resonance circularly polarized light. The Andreev reflection (including the retroreflection and specular one) during the subgap transport, the free energy, and the reversal of the Josephson effect as well as the emergence of φ 0 -junction are exploited. The Andreev reflection is complete in the NS interface even for the clean interface and without the Fermi wave vector mismatch, which is opposite to the case of ferromagnet-superconductor interface. The important role played by the dynamical polarization of the degrees of freedom to the 0 − π transition and the generation of φ 0 -junction are mentioned in this paper. The scattering by the charged impurity in the substrate affects the transport properties in the bulk as well as the valley relaxation, which can be taken into consider by the macroscopic wave function. In short junction limit, the approximated results about the Andreev level and free energy are also discussed. Beside the low-energy limit of the tight-binding model, the finite-size effect need to be taken into account as long as the spacing model is much larger than the superconducting gap. D − U) 2 / v F with U the electrostatic potential induced by the doping or gate voltage in the superconducting region, which breaks the electron-hole symmetry, and lifts the zero-model (between the lowest conduction band and the highest valence band) above the Fermi level (imaging the zero Dirac-mass here) [1]. The U has been experimentally proved to be valid in controlling the phase shift of the φ 0 -junction as well as the 0 − π transition[2] like the bias voltage. Note that the Dirac-mass here is related to the band gap by ∆ = 2m ησz τz D . Thus we can know that µ s (m ησz τz D − U) 2 and the incident angle is larger than the transmission *

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“…By now, there are different proposals based on steps in the current-voltage characteristics of a NCSC-NCSC junction [18,19], the formation of Andreev bound states and associated zero-bias anomalies [20,21], and the peak structure of the nonlocal conductance due to crossed Andreev reflections between a NCSC and spinpolarized normal metals [22]. Furthermore, the lowtemperature behavior of the critical current [23] and the occurrence of higher harmonics in the current-phase relation [24] in NCSC-NCSC Josephson junctions have been suggested as probes of the singlet-triplet ratio. For a Josephson junction between a conventional superconductor and a NCSC a transition between 0 and π/2 junction behavior has been predicted as a function of the singlettriplet ratio [25].…”

Section: Introductionmentioning

confidence: 99%

Josephson response of a conventional and a noncentrosymmetric superconductor coupled via a double quantum dot

Sothmann

Tiwari

2015

Phys. Rev. B

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We consider transport through a Josephson junction consisting of a conventional s-wave superconductor coupled via a double quantum dot to a noncentrosymmetric superconductor with both, singlet and triplet pairing. We calculate the Andreev bound state energies and the associated Josephson current. We demonstrate that the current-phase relation is a sensitive probe of the singlet-triplet ratio in the noncentrosymmetric superconductor. In particular, in the presence of an inhomogeneous magnetic field the system exhibits a ϕ-junction behavior.

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Josephson effect in noncentrosymmetric superconductor junctions

Cited by 25 publications

References 59 publications

Types of topological surface states in nodal noncentrosymmetric superconductors

Types of topological surface states in nodal noncentrosymmetric superconductors

Electric Field and Light Field Modulated Josephson Effect in Silicene-Based SNS Josephson Junction: Andreev Reflection and Free Energy

Josephson response of a conventional and a noncentrosymmetric superconductor coupled via a double quantum dot

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