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Related papers: Charge response of the Majorana toric code

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We consider the ground-state energy and the spectrum of the low-energy excitations of a Majorana island formed of topological superconductors connected by a single-mode junction of arbitrary transmission. Coulomb blockade results in…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Dmitry I. Pikulin , Karsten Flensberg , Leonid I. Glazman , Manuel Houzet , Roman M. Lutchyn

We study the robustness of 3D intrinsic topogical order under external perturbations by investigating the paradigmatic microscopic model, the 3D toric code in an external magnetic field. Exact dualities as well as variational calculations…

Strongly Correlated Electrons · Physics 2019-06-26 D. A. Reiss , K. P. Schmidt

Zero-energy flat bands within the superconducting gap can give rise to competing ordered phases. We investigate such phases in topological superconductors based on the magnetic adatom platform hosting a flat band of Majorana edge states.…

Landau levels (LL) have been predicted to emerge in systems with Dirac nodal points under applied non-uniform strain. We consider 2D, $d_{xy}$ singlet (2D-S) and 3D $p \pm i p$ equal-spin triplet (3D-T) superconductors (SCs). We demonstrate…

Superconductivity · Physics 2019-11-20 Emilian M. Nica , Onur Erten

Conduction electrons coupled to a mesoscopic superconducting island hosting Majorana bound states have been shown to display a topological Kondo effect with robust non-Fermi liquid correlations. With $M$ bound states coupled to $M$ leads,…

Strongly Correlated Electrons · Physics 2015-06-18 A. Altland , B. Beri , R. Egger , A. M. Tsvelik

We analyze a series of interacting Majorana Fermion chains with finite range pair interactions with coupling strength $g$ that all exhibit a tri-critical point that separates an Ising critical phase from a supersymmetric gapped phase. We…

Strongly Correlated Electrons · Physics 2025-12-05 Hekai Zhao , Philip Phillips

We study charge transport in a single-electron transistor implemented as an interferometer such that the Coulomb blockaded middle island contains a circular chiral Majorana or Dirac edge mode. We concentrate on the regime of small…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Dmitriy S. Shapiro , Alexander D. Mirlin , Alexander Shnirman

Majorana zero modes (MZM-s) occurring at the edges of a 1D, p-wave, spinless superconductor, in absence of fluctuations of the phase of the superconducting order parameter, are quintessential examples of topologically-protected zero-energy…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Ananda Roy , Johannes Hauschild , Frank Pollmann

We study low-lying electron levels in an "antidot" capturing a coreless vortex on the surface of a three-dimensional topological insulator in the presence of disorder. The surface is covered with a superconductor film with a hole of size R…

Mesoscale and Nanoscale Physics · Physics 2012-11-13 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigel'man

The transport behavior of a double quantum dot side-attached to a topological superconducting wire hosting Majorana zero-energy modes is studied theoretically in the strong correlation regime. It is shown that Majorana modes can leak to the…

Strongly Correlated Electrons · Physics 2020-06-03 Ireneusz Weymann , Krzysztof P. Wójcik , Piotr Majek

In the presence of an applied magnetic field introducing Zeeman spin splitting, a superconducting (SC) proximitized one-dimensional (1D) nanowire with spin-orbit coupling can pass through a topological quantum phase transition developing…

Mesoscale and Nanoscale Physics · Physics 2017-08-07 Ching-Kai Chiu , Jay D. Sau , S. Das Sarma

A semiconducting nanowire with strong Rashba coupling and in proximity of a superconductor hosts Majorana edge modes. An array of such nanowires with inter-wire coupling gives an approximate description of a two-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Deepti Rana , Goutam Sheet

A recently proposed form of dual theory for the three dimensional superconductor is rederived starting from the lattice electrodynamics and studied by renormalization group. The superfluid density below and close to the transition vanishes…

Superconductivity · Physics 2009-10-28 Igor F. Herbut

We show that semiconductor nanowires coupled to an s-wave superconductor provide a playground to study effects of interactions between different topological superconducting phases supporting Majorana zero-energy modes. We consider quasi-one…

Superconductivity · Physics 2011-12-30 Roman M. Lutchyn , Matthew P. A. Fisher

We propose a scheme to distinguish zero-energy peaks due to Majorana from those due to other effects at finite temperature by simply replacing the normal metallic lead with a resistive lead (large R k\Omega) in the tunneling spectroscopy.…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 Dong E. Liu

Time-reversal breaking topological superconductors are new states of matter which can support Majorana zero modes at the edge. In this paper, we propose a new realization of one-dimensional topological superconductivity and Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2014-09-24 Gang Xu , Jing Wang , Binghai Yan , Xiao-Liang Qi

We explore a long Josephson contact transporting Cooper pairs between 1D charge-neutral chiral Majorana modes in the leads via charged Dirac chiral modes in the normal region. We investigate the regimes of (i) transparent contacts and (ii)…

Superconductivity · Physics 2016-07-06 Dmitriy S. Shapiro , Alexander Shnirman , Alexander D. Mirlin

We calculate the linear conductance of a two-dimensional electron gas (2DEG)-based junction between a normal semiconductor section and a hybrid semiconductor-superconductor section, under perpendicular magnetic field. We consider two…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Llorenç Serra , Kaveh Delfanazari

The nonlocal nature of the fermionic mode spanned by a pair of Majorana bound states in a one-dimensional topological superconductor has inspired many proposals aiming at demonstrating this property in transport. In particular, transport…

Superconductivity · Physics 2015-09-01 Jascha Ulrich , Fabian Hassler

We study the temperature dependence of Coulomb Blockade peak conductance based on a Majorana-hosted superconducting island. In the low-temperature regime, we discover a coherent double Fu-teleportation (FT) process, where any independent…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Yiru Hao , Gu Zhang , Donghao Liu , Dong E. Liu