Signatures of a 
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-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions

Picó-Cortés, Jordi; Domínguez, Fernándo; Platero, Gloria

doi:10.1103/physrevb.96.125438

Cited by 53 publications

(51 citation statements)

References 56 publications

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“…The influence of a capacitive term in the RSJ equation can be important at microwave frequencies, and can be easily accounted for in the RCSJ model (Resistively and Capacitively Shunted Junction). This has been investigated in a recent study [83], which demonstrates that I 4π can be overestimated with the above criterion even for small capacitances. Though it is difficult to estimate quantitatively C, it may explain the discrepancies on I 4π between theory and experiments.…”

Section: Beyond the Rsj Modelmentioning

confidence: 84%

Microwave Studies of the Fractional Josephson Effect in HgTe-Based Josephson Junctions

et al. 2018

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The rise of topological phases of matter is strongly connected to their potential to host Majorana bound states, a powerful ingredient in the search for a robust, topologically protected, quantum information processing. In order to produce such states, a method of choice is to induce superconductivity in topological insulators. The engineering of the interplay between superconductivity and the electronic properties of a topological insulator is a challenging task and it is consequently very important to understand the physics of simple superconducting devices such as Josephson junctions, in which new topological properties are expected to emerge.In this article, we review recent experiments investigating topological superconductivity in topological insulators, using microwave excitation and detection techniques. More precisely, we have fabricated and studied topological Josephson junctions made of HgTe weak links in contact with Al or Nb contacts. In such devices, we have observed two signatures of the fractional Josephson effect, which is expected to emerge from topologically-protected gapless Andreev bound states.We first recall the theoretical background on topological Josephson junctions, then move to the experimental observations. Then, we assess the topological ori-

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Section: Beyond the Rsj Modelmentioning

confidence: 84%

Microwave Studies of the Fractional Josephson Effect in HgTe-Based Josephson Junctions

et al. 2018

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“…More recent theories have revisited the fractional JE in the context of MZMs in hybrid structures combining conventional superconductors with topological insulators or semiconductor nanowires [440,448,494,495,496,497,498,499,500,501,502,503,504,505,506,507,455,508,509,510,457,511,512,513,514,515,516,517,518,519,520,521,522,523,524]. Theoretically, the 4π -periodic CPR (69) has been proposed for ferromagnetic weak links in quantum spin-Hall insulator/superconductor structures under assumption of the local fermion-parity conservation [440].…”

Section: Recent Theories Of the Fractional Je Non-equilibrium Dynamicsmentioning

confidence: 99%

Transport in two-dimensional topological materials: recent developments in experiment and theory

et al. 2020

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We review theoretical and experimental highlights in transport in two-dimensional materials focussing on key developments over the last five years. Topological insulators are finding applications in magnetic devices, while Hall transport in doped samples and the general issue of topological protection remain controversial. In transition metal dichalcogenides valley-dependent electrical and optical phenomena continue to stimulate state-of-the-art experiments. In Weyl semimetals the properties of Fermi arcs are being actively investigated. A new field, expected to grow in the near future, focuses on the non-linear electrical and optical responses of topological materials, where fundamental questions are once more being asked about the intertwining roles of the Berry curvature and disorder scattering. In topological superconductors the quest for chiral superconductivity, Majorana fermions and topological quantum computing is continuing apace. :1907.10058v1 [cond-mat.mes-hall] arXiv

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“…On the other hand, around x = x B we have to take into account the wavefunction of Eq. (28). For the strong spin orbit coupling regime, Eq.…”

Section: B Effective Model For Weak Spin-orbit Couplingmentioning

confidence: 99%

Decaying spectral oscillations in a Majorana wire with finite coherence length

et al. 2018

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Motivated by recent experiments, we investigate the excitation energy of a proximitized Rashba wire in the presence of a position dependent pairing. In particular, we focus on the spectroscopic pattern produced by the overlap between two Majorana bound states that appear for values of the Zeeman field smaller than the value necessary for reaching the bulk topological superconducting phase. The two Majorana bound states can arise because locally the wire is in the topological regime. We find three parameter ranges with different spectral properties: crossings, anticrossings and asymptotic reduction of the energy as a function of the applied Zeeman field. Interestingly, all these cases have already been observed experimentally. Moreover, since an increment of the magnetic field implies the increase of the distance between the Majorana bound states, the amplitude of the energy oscillations, when present, gets reduced. The existence of the different Majorana scenarios crucially relies on the fact that the two Majorana bound states have distinct k-space structures. We develop analytical models that clearly explain the microscopic origin of the predicted behavior.

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Signatures of a 4π -periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions

Cited by 53 publications

References 56 publications

Microwave Studies of the Fractional Josephson Effect in HgTe-Based Josephson Junctions

Microwave Studies of the Fractional Josephson Effect in HgTe-Based Josephson Junctions

Transport in two-dimensional topological materials: recent developments in experiment and theory

Decaying spectral oscillations in a Majorana wire with finite coherence length

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