Zero modes around vacancies in topological insulators and topological superconductors on the honeycomb lattice with particle-hole symmetry

2013 ◽  
Vol 87 (7) ◽  
Author(s):  
Jing He ◽  
Ying-Xue Zhu ◽  
Ya-Jie Wu ◽  
Lan-Feng Liu ◽  
Ying Liang ◽  
...  
Keyword(s):  
Topological Insulators ◽  
Honeycomb Lattice ◽  
Zero Modes ◽  
Topological Superconductors

scholarly journals Robust zero modes in disordered two-dimensional honeycomb lattice with Kekulé bond ordering

2021 ◽  
pp. 168440
Author(s):  
Tohru Kawarabayashi ◽  
Yuya Inoue ◽  
Ryo Itagaki ◽  
Yasuhiro Hatsugai ◽  
Hideo Aoki
Keyword(s):  
Honeycomb Lattice ◽  
Two Dimensional ◽  
Zero Modes

scholarly journals Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes

2017 ◽  
Vol 19 (9) ◽  
pp. 093018 ◽  
Author(s):  
Xiao-Ping Liu ◽  
Yuan Zhou ◽  
Yi-Fei Wang ◽  
Chang-De Gong
Keyword(s):  
Edge States ◽  
Zero Modes ◽  
Topological Superconductors ◽  
Chern Numbers

scholarly journals The Topological Universe’s Topological Materials

2021 ◽  
Author(s):  
Rodney Bartlett
Keyword(s):  
Quantum Mechanics ◽  
Steady State ◽  
Quantum Gravity ◽  
Topological Insulators ◽  
Big Bang ◽  
Rubber Sheet ◽  
Topological Materials ◽  
Topological Superconductors ◽  
Paradigm Shifting ◽  
The Universe

The part of this article dealing with topological insulators and topological superconductors was first written about two years ago - the ideas in the part about the topological universe originated six years ago or more. It’s rather strange that I never put the two parts together in writing before. My belief in unification is unshakeable - I’ve been convinced for years that the universe must be composed of topology. Since Earth is part of the cosmos, entanglement means it must have topological materials. The reverse is also true: topological materials on Earth are well known to science - so in a unification, space and time inevitably possess topological composition. Topological materials (topological insulators, topological superconductors) can be less mystifying if they’re related to the paradigm-shifting deterministic view of quantum mechanics which is described in the universal topology (the “rubber-sheet geometry” of the cosmos): see my previous submission “Hypothesis of Quantum Gravity - Resulting from a Static, Topological Universe Resulting from the Positives and Negatives of the Steady State and Big Bang Theories" at https://www.preprints.org/manuscript/202105.0239/v1 (the first section of this present article is a quick summary of the relevant parts).

scholarly journals Search for non-Abelian Majorana braiding statistics in superconductors

2020 ◽  
Author(s):  
Carlo Beenakker
Keyword(s):  
Quantum Information ◽  
Parameter Space ◽  
Quantum Information Processing ◽  
Fusion Rule ◽  
Real Space ◽  
Edge Mode ◽  
Zero Modes ◽  
Topological Superconductors ◽  
Topological Quantum ◽  
Basic Concepts

This is a tutorial review of methods to braid non-Abelian anyons (Majorana zero-modes) in topological superconductors. That ``Holy Grail'' of topological quantum information processing has not yet been reached in the laboratory, but there now exists a variety of platforms in which one can search for the Majorana braiding statistics. After an introduction to the basic concepts of braiding we discuss how one might be able to braid immobile Majorana zero-modes, bound to the end points of a nanowire, by performing the exchange in parameter space, rather than in real space. We explain how Coulomb interaction can be used to both control and read out the braiding operation, even though Majorana zero-modes are charge neutral. We ask whether the fusion rule might provide for an easier pathway towards the demonstration of non-Abelian statistics. In the final part we discuss an approach to braiding in real space, rather than parameter space, using vortices injected into a chiral Majorana edge mode as ``flying qubits''.

Topological Properties in Strained Monolayer Antimony Iodide

2021 ◽  
Vol 38 (11) ◽  
pp. 117301
Author(s):  
Danwen Yuan ◽  
Yuefang Hu ◽  
Yanmin Yang ◽  
Wei Zhang
Keyword(s):  
Topological Insulator ◽  
Topological Insulators ◽  
Energy Gap ◽  
Square Lattice ◽  
Honeycomb Lattice ◽  
Type I ◽  
Topological Properties ◽  
Dirac Semimetal ◽  
Low Dissipation ◽  
Binary Compounds

Two-dimensional (2D) topological insulators present a special phase of matter manifesting unique electronic properties. Till now, many monolayer binary compounds of Sb element, mainly with a honeycomb lattice, have been reported as 2D topological insulators. However, research of the topological insulating properties of the monolayer Sb compounds with square lattice is still lacking. Here, by means of the first-principles calculations, a monolayer SbI with square lattice is proposed to exhibit the tunable topological properties by applying strain. At different levels of the strain, the monolayer SbI shows two different structural phases: buckled square structure and buckled rectangular structure, exhibiting attracting topological properties. We find that in the buckled rectangular phase, when the strain is greater than 3.78%, the system experiences a topological phase transition from a nontrivial topological insulator to a trivial insulator, and the structure at the transition point actually is a Dirac semimetal possessing two type-I Dirac points. In addition, the system can achieve the maximum global energy gap of 72.5 meV in the topological insulator phase, implying its promising application at room temperature. This study extends the scope of 2D topological physics and provides a platform for exploring the low-dissipation quantum electronics devices.

scholarly journals Zero modes and edge states of the honeycomb lattice

2007 ◽  
Vol 76 (20) ◽  
Author(s):  
Mahito Kohmoto ◽  
Yasumasa Hasegawa
Keyword(s):  
Honeycomb Lattice ◽  
Edge States ◽  
Zero Modes

scholarly journals Comment on “Topological Insulators in Ternary Compounds with a Honeycomb Lattice”

2013 ◽  
Vol 110 (12) ◽  
Author(s):  
M. G. Vergniory ◽  
M. A. L. Marques ◽  
S. Botti ◽  
M. Amsler ◽  
S. Goedecker ◽  
...  
Keyword(s):  
Topological Insulators ◽  
Honeycomb Lattice ◽  
Ternary Compounds
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