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We study the magnetic susceptibility of a two-dimensional cone of Majorana modes localised at the surface of a three-dimensional time-reversal invariant topological superconductor belonging to class DIII. A field parallel to the surface…

Superconductivity · Physics 2019-01-09 Luca Chirolli , Francisco Guinea

In a typical situation, gapless surface states of a three-dimensional (3D) weak topological insulator (WTI) appear only on sides, leaving the top and bottom surfaces gapped. To describe massless Dirac electrons emergent on such side…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Takashi Arita , Yositake Takane

Second-order topological superconductors host Majorana corner and hingemodes in contrast to conventional edge and surface modes in two and three dimensions. However, the realization of such second-order corner modes usually demands…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Ya-Jie Wu , Junpeng Hou , Yun-Mei Li , Xi-Wang Luo , Xiaoyan Shi , Chuanwei Zhang

By numerically solving the effective continuous model of a topological insulator with parameters corresponding to the band structure of the topological insulator Bi2Se3 , we analyze possible appearance of one-dimensional states in various…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 N. I. Fedotov , S. V. Zaitsev-Zotov

To guide the search for the Majorana fermion, we theoretically study superconductor/topological/superconductor (S/TI/S) junctions in an experimentally relevant regime. We find that the striking features present in these systems, including…

Mesoscale and Nanoscale Physics · Physics 2014-07-01 M. Snelder , M. Veldhorst , A. A. Golubov , A. Brinkman

The Dirac fermions at the surface of a topological insulator can be gapped by introducing magnetic dopants. Alternatively, in an ultra-thin slab with thickness on the order of the extent of the surface states, both the top and bottom…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Calvin J. Tabert , J. P. Carbotte

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

Superconductivity · Physics 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu

3D topological insulator/s-wave superconductor heterostructures have been predicted as candidate systems for the observation of Majorana fermions in the presence of superconducting vortices. In these systems, Majorana fermions are expected…

Superconductivity · Physics 2015-05-30 Ching-Kai Chiu , Matthew J. Gilbert , Taylor L. Hughes

We investigate characteristic features in the spin response of doped three-dimensional topological insulators with odd-parity unequal-spin superconducting pairing, which are predicted to have gapless Majorana surface modes. These Majorana…

Superconductivity · Physics 2013-04-29 Björn Zocher , Bernd Rosenow

We demonstrate that the one-dimensional helical Majorana edges of two-dimensional time-reversal symmetric topological superconductors (class DIII) can become gapless and insulating by a combination of random edge velocity and interaction.…

Strongly Correlated Electrons · Physics 2021-02-10 Yang-Zhi Chou , Rahul M. Nandkishore

I study the edge states of the topological exciton condensate formed by Coulomb interaction between two parallel surfaces of a strong topological insulator. When the condensate is contacted by superconductors with a {\pi} phase shift across…

Mesoscale and Nanoscale Physics · Physics 2012-09-07 Babak Seradjeh

A three-dimensional weak topological insulator (WTI) can be regarded as stacked layers of two-dimensional quantum spin-Hall insulators, each of which accommodates a one-dimensional helical edge mode. Massless Dirac electrons emerge on a…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Takashi Arita , Yositake Takane

We propose a planar Josephson junction setup to host Majorana modes where the semiconductor is sandwiched between superconductors on both surfaces. While the studied configuration is related to both devices proposed for use with topological…

Superconductivity · Physics 2024-01-05 Huan-Kuang Wu , Jay Sau

We consider a heterostructure of semiconductor layers sandwiched between two superconductors, forming a two-dimensional Josephson junction. Applying a Zeeman field perpendicular to the junction can render a topological superconducting phase…

Mesoscale and Nanoscale Physics · Physics 2021-04-27 Shao-Kai Jian , Shuai Yin

In the presence of certain symmetries, three-dimensional Dirac semimetals can harbor not only surface Fermi arcs, but also surface Dirac cones. Motivated by the experimental observation of rotation-symmetry-protected Dirac semimetal states…

Superconductivity · Physics 2022-01-17 Majid Kheirkhah , Zheng-Yang Zhuang , Joseph Maciejko , Zhongbo Yan

We show how a chiral Dirac fermion (a massless electron or hole) can be converted into a pair of neutral chiral Majorana fermions (a particle equal to its own antiparticle). These two types of fermions exist on the metallic surface of a…

Mesoscale and Nanoscale Physics · Physics 2009-05-28 A. R. Akhmerov , Johan Nilsson , C. W. J. Beenakker

We study the edge states for a quantum anomalous Hall system (QAHS) coupled with a spin-singlet s-wave superconductor through the proximity effect, and clarify the topological nature of them. When we consider a superconducting pair…

Superconductivity · Physics 2011-05-10 Akihiro Ii , Keiji Yada , Masatoshi Sato , Yukio Tanaka

In this work, we find that Majorana fermions induce selective equal spin Andreev reflections (SESARs), in which incoming electrons with certain spin polarization in the lead are reflected as counter propagating holes with the same spin. The…

Mesoscale and Nanoscale Physics · Physics 2014-12-05 James J. He , T. K. Ng , Patrick A. Lee , K. T. Law

Topological insulators represent a new state of matter where the topological nature of the bulk bands dictates the existence of a surface state with unique properties. These materials are predicted to host exotic states such as Majorana…

Materials Science · Physics 2012-05-29 Yoshinori Okada , Wenwen Zhou , Chetan. Dhital , D. Walkup , Ying Ran , Z. Wang , Stephen D. Wilson , V. Madhavan

The search for topological excitations such as Majorana fermions has spurred interest in the boundaries between distinct quantum states. Here, we explore an interface between two prototypical phases of electrons with conceptually different…