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By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two…

Strongly Correlated Electrons · Physics 2014-08-12 Wei Li , D. N. Sheng , C. S. Ting , Yan Chen

Surface codes offer a very promising avenue towards fault-tolerant quantum computation. We argue that two-dimensional interacting networks of Majorana bound states in topological superconductor/semiconductor heterostructures hold several…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 S. Plugge , L. A. Landau , E. Sela , A. Altland , K. Flensberg , R. Egger

The non-Abelian exchange statistics of Majorana zero modes make them interesting for both technological applications and fundamental research. Unlike their non-Abelian counterpart, the Abelian contribution, $e^{i\theta}$, where $\theta$ is…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 Stijn R. de Wit , Emre Duman , A. Mert Bozkurt , Alexander Brinkman , Inanc Adagideli

Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible…

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

The phase structure of 2-dimensional topological insulators under a sufficiently strong electron-electron interaction is investigated. The effective theory is constructed by extending the idea of the Kane-Mele model on the graphenelike…

Strongly Correlated Electrons · Physics 2013-06-05 Yasufumi Araki , Taro Kimura

Majorana zero modes are fractional quantum excitations appearing in pairs, each pair being a building block for quantum computation . Some possible signatures of these excitations have been reported as zero bias peaks at endpoints of…

The effect of interactions on topological insulators and superconductors remains, to a large extent, an open problem. Here, we describe a framework for classifying phases of one-dimensional interacting fermions, focusing on spinless…

Strongly Correlated Electrons · Physics 2012-03-20 Ari M. Turner , Frank Pollmann , Erez Berg

Much interest in the superconducting proximity effect in three-dimensional (3D) topological insulators (TIs) has been driven by the potential to induce Majorana bound states at the interface. Most candidate materials for 3D TI, however, are…

Superconductivity · Physics 2014-12-10 Kyungmin Lee , Abolhassan Vaezi , Mark H. Fischer , Eun-Ah Kim

Semiconductor moir\'e superlattices provide a highly tunable platform to study the interplay between electron correlation and band topology. For example, the generalized Kane-Mele-Hubbard model can be simulated by the topological moir\'e…

Superconductivity · Physics 2024-01-11 Xun-Jiang Luo , Wen-Xuan Qiu , Fengcheng Wu

One promising avenue to study one-dimensional ($1$D) topological phases is to realize them in synthetic materials such as cold atomic gases. Intriguingly, it is possible to realize Majorana boundary modes in a $1$D number-conserving system…

Strongly Correlated Electrons · Physics 2018-10-17 Chun Chen , Wei Yan , C. S. Ting , Yan Chen , F. J. Burnell

Time-reversal symmetric topological insulator is a novel state of matter that a bulk-insulating state carries dissipationless spin transport along the surfaces, embedded by the $Z_2$ topological invariant. In the noninteracting limit, this…

Strongly Correlated Electrons · Physics 2015-03-12 Hsin-Hua Lai , Hsiang-Hsuan Hung

The 1D Kitaev model in the topological phase, with open boundary conditions, hosts strong Majorana zero modes. These are fermion parity-odd operators that almost commute with the Hamiltonian and manifest in long coherence times for edge…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Loredana M. Vasiloiu , Apoorv Tiwari , Jens H. Bardarson

Topological quantum phases underpin many concepts of modern physics. While the existence of disorder-immune topological edge states of electrons usually requires magnetic fields, direct effects of magnetic field on light are very weak. As a…

Topological superconductivity is a state of matter that can host Majorana modes, the building blocks of a topological quantum computer. Many experimental platforms predicted to show such a topological state rely on proximity-induced…

Recent tunneling experiments on InSb hybrid superconductor-semiconductor devices have provided hope for a stabilization of Majorana edge modes in a spin-orbit quantum wire subject to a magnetic field and superconducting proximity effect.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Ronny Thomale , Stephan Rachel , Peter Schmitteckert

Topological insulators are a newly discovered phase of matter characterized by a gapped bulk surrounded by novel conducting boundary states. Since their theoretical discovery, these materials have encouraged intense efforts to study their…

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

The physics of Majorana fermion occurs at the edge and interface of many one-dimensional quantum many body system with gapped excitation spectrum. We present the renormalization group equations for strongly interacting helical liquid. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Sujit Sarkar

We consider topological superconductors and topological insulator/superconductor structures in the presence of multiple static vortices that host Majorana modes and focus on the Majorana tunneling processes between vortices. It is shown…

Superconductivity · Physics 2010-09-03 Meng Cheng , Roman M. Lutchyn , Victor Galitski , S. Das Sarma
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