Transport characterization of topological superconductivity in a planar Josephson junction

Guo, Kaige; Liu, Jie

doi:10.1103/physrevb.102.245403

Cited by 13 publications

(5 citation statements)

References 54 publications

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“…It can be seen that when the width of junction is smaller than that of the coherence length, the gap can reach 0.06 even in the case of the straight junction. [51,52] When the width of junction is small, the gap of the zigzag-shape junction can also remain near 0.06. Therefore, a zigzag-shape junction can be constructed to maintain the optimal value of gap for both wide and narrow junction.…”

Section: Resultsmentioning

confidence: 99%

Enhanced topological superconductivity in an asymmetrical planar Josephson junction

Zhang

2023

Chinese Phys. B

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As a platform for holding Majorana zero models (MZMs) that can be used as carriers for topological quantum computing, a two-dimensional planar topological Josephson junction faces some challenges. One is a combination of mirror and time-reversal symmetry may make the system hold multiple pairs of MZMs. Other is that a soft gap dominated by a large momentum that occurs in a clean system. To solve these problems, asymmetric junction can be introduced. Breaking this symmetry changes the symmetry class from class BDI to class D, and only a single pair of MZMs can be left at the boundary of the system. We numerically study four cases that create an asymmetric system and find out that different superconducting pairing potential, different coupling coefficients between two-dimensional electron gases(2DEGs) and two superconducting bulks, different widths of two superconducting bulks make the gap of the system decrease at the optimal value, but make the gap at the minimum value increase. And the zigzag-shape quasi-one-dimensional junction eliminates the large momentum parallel to the junction and enhances the gap at the large momentum. However, the zigzag-shape junction cannot increase the gap at the region of multiple pairs of MZMs in a symmetric system. We show that by combining zigzag-shape junction with different coupling coefficients, the system can maintain a large gap(≈0.2Δ) in a wide region of the parameter space.

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Section: Resultsmentioning

confidence: 99%

Enhanced topological superconductivity in an asymmetrical planar Josephson junction

Zhang

2023

Chinese Phys. B

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“…And in the above expression, t nk can be obtained using eqn (6). The reciprocal of relaxation time obtained by the Ziman formula and ERTA is shown in Fig.…”

Section: B Intrinsic Resistivitymentioning

confidence: 99%

“…The Ziman resistivity formula derived from a variation of BTE in the presence of e-ph scattering was proposed by Ziman, 2 followed by Allen's generalization to more realistic cases, including the complicated Fermi surface formed by multiple bands. [3][4][5] Thus far, the Ziman formula has been widely employed to assess the intrinsic resistivity of realistic metals on the level of first-principles calculations, [6][7][8][9][10] but still has not provided convincing proof of validity. Solving the BTE with the aid of a numerical iteration method has only been realized in recent years, [11][12][13] and is currently the most accurate numerical approach.…”

Section: Introductionmentioning

confidence: 99%

First-principles calculations on the intrinsic resistivity of realistic metals: a case study of monolayer V₂N

Zhang,

Gong

2024

Phys. Chem. Chem. Phys.

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“…One interesting alternative to the "standard" Majorana nanowire platform consists of planar SM-SC structures, which have attracted both experimental [41][42][43][44][45][46][47][48][49][50][51] and theoretical [52][53][54][55][56][57][58][59][60][61][62][63] attention in recent years. This type of system involves a two-dimensional electron gas (2DEG) with strong spin-orbit coupling and large g-factor, which is hosted by semiconductor hetersrostructure, in proximity to a superconducting film (often Al) and in the presence of an in-plane magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Enhanced topological superconductivity in spatially modulated planar Josephson junctions

Paudel,

Cole,

Woods

et al. 2021

Preprint

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We propose a semiconductor-superconductor hybrid device for realizing topological superconductivity and Majorana zero modes consisting of a planar Josephson junction structure with periodically modulated junction width. By performing a numerical analysis of the effective model describing the low-energy physics of the hybrid structure, we demonstrate that the modulation of the junction width results in a substantial enhancement of the topological gap and, consequently, of the robustness of the topological superconducting phase and associated Majorana zero modes. This enhancement is due to the formation of minibands with strongly renormalized effective parameters, including stronger spin-orbit coupling, generated by the effective periodic potential induced by the modulated structure. In addition to a larger topological gap, the proposed device supports a topological superconducting phase that covers a significant fraction of the parameter space, including the low Zeeman field regime, in the absence of a superconducting phase difference across the junction. Furthermore, the optimal regime for operating the device can be conveniently accessed by tuning the potential in the junction region using, for example, a top gate.

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Transport characterization of topological superconductivity in a planar Josephson junction

Cited by 13 publications

References 54 publications

Enhanced topological superconductivity in an asymmetrical planar Josephson junction

Enhanced topological superconductivity in an asymmetrical planar Josephson junction

First-principles calculations on the intrinsic resistivity of realistic metals: a case study of monolayer V₂N

Enhanced topological superconductivity in spatially modulated planar Josephson junctions

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Transport characterization of topological superconductivity in a planar Josephson junction

Cited by 13 publications

References 54 publications

Enhanced topological superconductivity in an asymmetrical planar Josephson junction

Enhanced topological superconductivity in an asymmetrical planar Josephson junction

First-principles calculations on the intrinsic resistivity of realistic metals: a case study of monolayer V2N

Enhanced topological superconductivity in spatially modulated planar Josephson junctions

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First-principles calculations on the intrinsic resistivity of realistic metals: a case study of monolayer V₂N