Planar Josephson Hall effect in topological Josephson junctions

Maistrenko, O.; Scharf, Benedikt; Manske, Dirk; Hankiewicz, Ewelina M.

doi:10.1103/physrevb.103.054508

Cited by 8 publications

(8 citation statements)

References 85 publications

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“…( 13), in addition to j x , we have a Josephson Hall current j y flowing along the junction. Presence of such a transverse current is a direct consequence of the non-diagonal Meissner kernel and is an analog of the anomalous Josephson Hall effect [6][7][8][9][10][11][12][13][14]. Using Eqs.…”

Section: B Junction Transverse To X Directionmentioning

confidence: 99%

“…According Eqs. (14), this current induces a z-component of the magnetic field H z ∝ j y (x). In general, this field is not negligibly small since j y (x) ∝ j y /d.…”

Section: B X-junctionmentioning

confidence: 99%

“…Recently, a significant interest arises to a "transverse" Josephson currents that flows along the junction [6][7][8][9][10][11][12][13][14]. This phenomenon is called Josephson Hall effect, anomalous Josephson Hall effect, or tunnel Josephson Hall effect by an analogy with the anomalous Hall effect in the normal state [15].…”

Section: Introductionmentioning

confidence: 99%

“…This phenomenon is called Josephson Hall effect, anomalous Josephson Hall effect, or tunnel Josephson Hall effect by an analogy with the anomalous Hall effect in the normal state [15]. The Josephson Hall effect arises due to non-trivial interplay between the magnetization and spin-orbit interaction [7,[9][10][11][12][13][14] or unconventional superconductivity [6,8]. Such a transverse Josephson current can be comparable with the usual "longitudinal" Josephson current [14].…”

Section: Introductionmentioning

confidence: 99%

“…The Josephson Hall effect arises due to non-trivial interplay between the magnetization and spin-orbit interaction [7,[9][10][11][12][13][14] or unconventional superconductivity [6,8]. Such a transverse Josephson current can be comparable with the usual "longitudinal" Josephson current [14].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

Akzyanov¹,

Rakhmanov²

2022

Preprint

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We study the physics of the Josephson effect in nematic superconductors with Eu odd parity in the Ginzburg-Landau approach. Two-component vector superconducting order parameter makes this effect rather unusual. We get that the Meissner kernel has off-diagonal components. We derive current-phase relations for different configurations of the junction, crystallographic axes of the sample, and nematicity direction. We show that an anomalous Josephson Hall effect can be observed in such a system without any magnetization. That is, for definite orientations of the junction and crystal axes, a component of the Josephson current along the junction is induced by the order parameter phase difference across the contact. We also calculate the magnetic field dependence of the maximum current through the junction. We find that the period of the Fraunhofer oscillations of the maximum Josephson current depends on the geometry of the junction, direction of the magnetic field, and nematicity vector.

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Section: B Junction Transverse To X Directionmentioning

confidence: 99%

“…According Eqs. (14), this current induces a z-component of the magnetic field H z ∝ j y (x). In general, this field is not negligibly small since j y (x) ∝ j y /d.…”

Section: B X-junctionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

Akzyanov¹,

Rakhmanov²

2022

Preprint

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Anomalous Josephson effect between d-wave superconductors through a two-dimensional electron gas with both Rashba spin–orbit coupling and Zeeman splitting

Yang

2023

Chinese Phys. B

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Based on the Bogoliubov-de Gennes equation and the extended McMillan’s Green’s function formalism, we study theoretically the Josephson effect between two dwave superconductors bridged by a ballistic two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting. We show that due to the interplay of Rashba spin-orbit coupling and Zeeman splitting and d-wave pairing, the currentphase relation in such a heterostructure may exhibit a series of novel features and can change significantly as some relevant parameters are tuned. In particular, anomalous Josephson current may occur at zero phase bias under various different situations if both time reversal symmetry and inversion symmetry of the system are simultaneously broken, which can be realized by tuning some relevant parameters of the system, including the relative orientations and the strengths of the Zeeman field and the spin-orbit field in the bridge region, the relative orientations of the a-axes in two superconductor leads, or the relative orientations between the Zeeman field in the bridge region and the a-axes in the superconductor leads. We show that both the magnitude and the direction of the anomalous Josephson current may depend sensitively on these relevant parameters.

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Current-phase relation in a topological Josephson junction: Andreev bands versus scattering states

Backens

Shnirman

2021

Phys. Rev. B

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Planar Josephson Hall effect in topological Josephson junctions

Cited by 8 publications

References 85 publications

Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

Anomalous Josephson effect between d-wave superconductors through a two-dimensional electron gas with both Rashba spin–orbit coupling and Zeeman splitting

Current-phase relation in a topological Josephson junction: Andreev bands versus scattering states

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