Topological quantum matter to topological phase conversion: Fundamentals, materials, physical systems for phase conversions, and device applications

Weyl, Dirac and high-fold chiral fermions in topological quantum matter

Nature Reviews Materials ◽

10.1038/s41578-021-00301-3 ◽

2021 ◽

Author(s):

M. Zahid Hasan ◽

Guoqing Chang ◽

Ilya Belopolski ◽

Guang Bian ◽

Su-Yang Xu ◽

...

Keyword(s):

Quantum Matter ◽

Topological Quantum

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Robust topological phase in proximitized core–shell nanowires coupled to multiple superconductors

Beilstein Journal of Nanotechnology ◽

10.3762/bjnano.9.142 ◽

2018 ◽

Vol 9 ◽

pp. 1512-1526 ◽

Cited By ~ 6

Author(s):

Tudor D Stanescu ◽

Anna Sitek ◽

Andrei Manolescu

Keyword(s):

Magnetic Field ◽

Longitudinal Magnetic Field ◽

Tight Binding ◽

Core Shell ◽

Topological Phase ◽

Binding Model ◽

Chemical Potentials ◽

Topological Quantum ◽

The Stability ◽

Shell Nanowires

We consider core–shell nanowires with prismatic geometry contacted with two or more superconductors in the presence of a magnetic field applied parallel to the wire. In this geometry, the lowest energy states are localized on the outer edges of the shell, which strongly inhibits the orbital effects of the longitudinal magnetic field that are detrimental to Majorana physics. Using a tight-binding model of coupled parallel chains, we calculate the topological phase diagram of the hybrid system in the presence of non-vanishing transverse potentials and finite relative phases between the parent superconductors. We show that having finite relative phases strongly enhances the stability of the induced topological superconductivity over a significant range of chemical potentials and reduces the value of the critical field associated with the topological quantum phase transition.

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Novel topological end modes and breaking of bulk boundary correspondence in skin-effect absent superconductive chain

10.21203/rs.3.rs-1028290/v1 ◽

2021 ◽

Author(s):

Huan-Yu Wang ◽

Wu-Ming Liu

Keyword(s):

Skin Effect ◽

Open Quantum Systems ◽

Quantum Systems ◽

Topological Invariants ◽

Quantum Matter ◽

Topological Quantum ◽

Boundary Correspondence ◽

Quantum Chain ◽

New Type ◽

Majorana Modes

Abstract Topological nontrivial systems feature isolated gapless edge modes, and play a key role in advancing our understanding of quantum matter. A most profound way to characterize edge modes above is through bulk topological invariants, which is known as bulk boundary correspondence. Recent studies on non-Hermitian physics have pronounced the broken bulk-boundary correspondence with the presence of skin effect. Here, we propose a new type of fermionic topological edge modes η, satisfying η+= iη,η2=-i. Remarkably, we demonstrate that for both two cases: superconductive chain with purely η modes and quantum chain with η, Majorana modes γ on different ends, fermion parity can be well defined. Interestingly, for the latter case, broken bulk boundary correspondence is observed despite the absence of skin effects . The phenomenon above is unique to open quantum systems. For the junction with both η,γ modes, the current will not remain sinusoid form but decay exponentially. The exchange of η modes obeys the rules of non-abelian statistics, and can find its applications in topological quantum computing.

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Commensurate and incommensurate states of topological quantum matter

Physical Review B ◽

10.1103/physrevb.90.195101 ◽

2014 ◽

Vol 90 (19) ◽

Cited By ~ 15

Author(s):

Ashley Milsted ◽

Emilio Cobanera ◽

Michele Burrello ◽

Gerardo Ortiz

Keyword(s):

Quantum Matter ◽

Topological Quantum

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Topological Quantum Matter

10.1007/978-3-319-96764-6 ◽

2018 ◽

Author(s):

Thomas Klein Kvorning

Keyword(s):

Quantum Matter ◽

Topological Quantum

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Topological quantum matter with ultracold gases in optical lattices

Nature Physics ◽

10.1038/nphys3803 ◽

2016 ◽

Vol 12 (7) ◽

pp. 639-645 ◽

Cited By ~ 303

Author(s):

N. Goldman ◽

J. C. Budich ◽

P. Zoller

Keyword(s):

Optical Lattices ◽

Ultracold Gases ◽

Quantum Matter ◽

Topological Quantum

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Device Applications of Synthetic Topological Insulator Nanostructures

Electronics ◽

10.3390/electronics7100225 ◽

2018 ◽

Vol 7 (10) ◽

pp. 225 ◽

Cited By ~ 6

Author(s):

Chenxi Yue ◽

Shuye Jiang ◽

Hao Zhu ◽

Lin Chen ◽

Qingqing Sun ◽

...

Keyword(s):

Topological Insulator ◽

Condensed Matter ◽

Electronic Devices ◽

Surface States ◽

Volume Ratio ◽

Conducting Surface ◽

New Class ◽

Research Fields ◽

Quantum Matter ◽

Device Applications

This review briefly describes the development of synthetic topological insulator materials in the application of advanced electronic devices. As a new class of quantum matter, topological insulators with insulating bulk and conducting surface states have attracted attention in more and more research fields other than condensed matter physics due to their intrinsic physical properties, which provides an excellent basis for novel nanoelectronic, optoelectronic, and spintronic device applications. In comparison to the mechanically exfoliated samples, the newly emerging topological insulator nanostructures prepared with various synthetical approaches are more intriguing because the conduction contribution of the surface states can be significantly enhanced due to the larger surface-to-volume ratio, better manifesting the unique properties of the gapless surface states. So far, these synthetic topological insulator nanostructures have been implemented in different electrically accessible device platforms via electrical, magnetic and optical characterizations for material investigations and device applications, which will be introduced in this review.

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Topological Order, Mixed States and Open Systems

Open Systems & Information Dynamics ◽

10.1142/s1230161219500124 ◽

2019 ◽

Vol 26 (03) ◽

pp. 1950012 ◽

Cited By ~ 6

Author(s):

Manuel Asorey ◽

Paolo Facchi ◽

Giuseppe Marmo

Keyword(s):

Open Systems ◽

Quantum Systems ◽

Topological Phases ◽

Topological Order ◽

Mixed States ◽

Quantum Matter ◽

Physical Role ◽

Topological Quantum ◽

Pure States

The role of mixed states in topological quantum matter is less known than that of pure quantum states. Generalisations of topological phases appearing in pure states have received attention in the literature only quite recently. In particular, it is still unclear whether the generalisation of the Aharonov–Anandan phase for mixed states due to Uhlmann plays any physical role in the behaviour of the quantum systems. We analyse, from a general viewpoint, topological phases of mixed states and the robustness of their invariance. In particular, we analyse the role of these phases in the behaviour of systems with periodic symmetry and their evolution under the influence of an environment preserving its crystalline symmetries.

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