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We study two microscopic models of topological insulators in contact with an $s$-wave superconductor. In the first model the superconductor and the topological insulator are tunnel coupled via a layer of scalar and of randomly oriented spin…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Constantin Schrade , A. A. Zyuzin , Jelena Klinovaja , Daniel Loss

We use quasiclassical methods of superconductivity to study the superconducting proximity effect from a topological $p$-wave superconductor into a disordered one-dimensional metallic wire. We demonstrate that the corresponding Eilenberger…

Superconductivity · Physics 2015-06-04 Aydin Cem Keser , Valentin Stanev , Victor Galitski

In this work the effects of defects in the superconducting phases of the twisted bilayer graphene (TBG) are investigated. A will-accepted low energy effective model and a non-magnetic impurity potential to mimic defects are employed.…

Superconductivity · Physics 2020-09-08 Hui Yang , Zhi-Qiang Gao , Fa Wang

A heterostructure consisting of a topological insulator (TI) nanowire brought into proximity with a superconducting layer provides a promising route to achieve topological superconductivity and associated Majorana bound states (MBSs). Here,…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Henry F. Legg , Daniel Loss , Jelena Klinovaja

The proximity effect at a highly transparent interface of an s-wave superconductor (S) and a topological insulator (TI) provides a promising platform to create Majorana zero modes in artificially designed heterostructures. However,…

Topological insulators in three dimensions are characterized by a Z2-valued topological invariant, which consists of a strong index and three weak indices. In the presence of disorder, only the strong index survives. This paper studies the…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 H. -M. Guo

The study of Majorana fermions is of great importance for the implementation of a quantum computer. These modes are topologically protected and very stable. It is now well known that a p-wave superconducting wire can sustain, in its…

Strongly Correlated Electrons · Physics 2015-07-22 Fernanda Deus , Mucio A. Continentino , Heron Caldas

The scientific interest in two-dimensional topological insulators (2D TIs) is currently shifting from a more fundamental perspective to the exploration and design of novel functionalities. Key concepts for the use of 2D TIs in spintronics…

The spin-Seebeck effect refers to voltage signals induced in metals by thermally driven spin currents in adjacent magnetic systems. We present a theory of the spin-Seebeck signal in the case where the conductor that supports the voltage…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Nobuyuki Okuma , Massoud Ramezani Masir , Allan H. MacDonald

It is known that in contrast to homogeneous ferromagnetism helical magnetism is compatible with superconductivity and causes only weak suppressive effect on superconducting critical temperature. Despite this fact it induces p-wave triplet…

Superconductivity · Physics 2025-12-02 G. A. Bobkov , A. V. Kornev , A. M. Bobkov , I. V. Bobkova

We introduce superconducting proximity effects in Weyl semi-metals (WSM) with broken time reversal symmetry by tunnel coupling one of its surfaces to an s-wave superconductor using the Green's function approach. We find that the band…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Udit Khanna , Arijit Kundu , Saurabh Pradhan , Sumathi Rao

It is interesting to ask whether electron interaction can turn a topologically trivial superconductor into a nontrivial one without the presence of spin-obital coupling. In this paper we solve a correlated $s$-wave superconducting model…

Superconductivity · Physics 2021-01-27 Huai-Shuang Zhu , Zhidan Li , Qiang Han , Z. D. Wang

Recent experiments on amorphous materials have established the existence of surface states similar to those of crystalline three-dimensional topological insulators (TIs). Amorphous topological insulators are also independently of interest…

Mesoscale and Nanoscale Physics · Physics 2024-11-18 Siddhant Mal , Elizabeth J. Dresselhaus , Joel E. Moore

We calculate a low-frequency surface impedance of a dirty, s-wave superconductor with an imperfect surface incorporating either a thin layer with a reduced pairing constant or a thin, proximity-coupled normal layer. Such structures model…

Superconductivity · Physics 2017-12-06 Alex Gurevich , Takayuki Kubo

Waveguides and resonators are core components in the large-scale integration of electronics, photonics, and phononics, both in existing and future scenarios. In certain situations, there is critical coupling of the two components; i.e., no…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Si-Yuan Yu , Cheng He , Xiao-Chen Sun , Hong-Fei Wang , Ji-Qian Wang , Zi-Dong Zhang , Bi-Ye Xie , Yuan Tian , Ming-Hui Lu , Yan-Feng Chen

Topological insulators (TIs) are materials that have a bulk electronic band gap like an ordinary insulator but have protected conducting states on their surface. One of the most interesting properties of TIs is their spin helicity, whereby…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Xuetao Zhu , Colin Howard , Jiandong Guo , Michael El-Batanouny

Impurities and defects are ubiquitous in topological insulators (TIs) and thus understanding the effects of disorder on electronic transport is important. We calculate the distribution of the random conductance fluctuations $P(G)$ of…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Hsiu-Chuan Hsu , Ioannis Kleftogiannis , Guang-Yu Guo , Victor A. Gopar

We consider the proximity effect in a Topological Insulator sandwiched between two conventional superconductors, by comparing s-wave spin singlet superconducting pairing correlations and odd-parity triplet pairing correlations with zero…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 A. Tagliacozzo , P. Lucignano , F. Tafuri

We study theoretically the magic-angle twisted bilayer graphene with proximity-induced Ising and Rashba spin-orbit couplings on the top layer. Topological flat bands (with three distinct phases) are generically realized by the spin-orbit…

Superconductivity · Physics 2024-07-11 Yang-Zhi Chou , Yuting Tan , Fengcheng Wu , Sankar Das Sarma

To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. In analogy to the case of…

Superconductivity · Physics 2015-07-28 M. Snelder , A. A. Golubov , Y. Asano , A. Brinkman