Topological Quantum Matter

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

Materials Science and Engineering R Reports ◽

10.1016/j.mser.2021.100620 ◽

2021 ◽

Vol 145 ◽

pp. 100620

Author(s):

Md Mobarak Hossain Polash ◽

Shahram Yalameha ◽

Haihan Zhou ◽

Kaveh Ahadi ◽

Zahra Nourbakhsh ◽

...

Keyword(s):

Topological Phase ◽

Phase Conversion ◽

Physical Systems ◽

Quantum Matter ◽

Topological Quantum ◽

Device Applications

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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 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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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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