Výsledky vyhledávání - "Topological degeneracy"

Akademický článek

The Kitaev honeycomb model on surfaces of genus g ≥ 2

Autor: John Brennan, Jiří Vala

Publikováno v: New Journal of Physics, Vol 20, Iss 5, p 053023 (2018)

We present a construction of the Kitaev honeycomb lattice model on an arbitrary higher genus surface. We first generalize the exact solution of the model based on the Jordan–Wigner fermionization to a surface with genus g = 2, and then use this as

Externí odkaz: https://doaj.org/article/46a2818c1d3f48e998adab2a162c161f

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Akademický článek

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Akademický článek

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Model wave functions for an interface between lattice Laughlin and Moore-Read states

Autor: Anne E. B. Nielsen, Błażej Jaworowski

Publikováno v: Jaworowski, B & Nielsen, A E B 2021, ' Model wave functions for an interface between lattice Laughlin and Moore-Read states ', Physical Review B, vol. 103, no. 20, 205149 . https://doi.org/10.1103/PhysRevB.103.205149

We use conformal field theory to construct model wavefunctions for a gapless interface between lattice versions of a bosonic Laughlin state and a fermionic Moore-Read state, both at $\nu=1/2$. The properties of the resulting model state, such as part

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86b8235085fdd5dfccf8d3a46a4b67db
https://pure.au.dk/ws/files/285200690/PhysRevB.103.205149.pdf

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Spin and anomalous Hall effects emerging from topological degeneracy in Dirac fermion system CuMnAs

Autor: Vu Thi Ngoc Huyen, Yuki Yanagi, Michi-To Suzuki

Orthorhombic CuMnAs has been proposed as an antiferromagnetic semimetal hosting nodal line and Dirac points around the Fermi level. We investigate relations between the topological bands and transport phenomena, i.e. spin Hall effect and anomalous Ha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::513d5802bde45493f8c3b5cf1d9a8f7c
http://arxiv.org/abs/2104.13704

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Z2 Topological Order and Topological Protection of Majorana Fermion Qubits

Autor: Louis H. Kauffman, Rukhsan Ul Haq

Publikováno v: Condensed Matter, Vol 6, Iss 11, p 11 (2021)
Condensed Matter
Volume 6
Issue 1

The Kitaev chain model exhibits topological order that manifests as topological degeneracy, Majorana edge modes and $Z_{2}$ topological invariance of the abulk spectrum. This model can be obtained from a transverse field Ising model(TFIM) using the J

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4a9435be72348ce93f91c845db2ab57
https://www.mdpi.com/2410-3896/6/1/11

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Fractional Chiral Hinge Insulator

Autor: Nicolas Regnault, B. Andrei Bernevig, Ana Hudomal, Norbert Schuch, Anna Hackenbroich

Publikováno v: Phys.Rev.B
Phys.Rev.B, 2021, 103 (16), pp.161110. ⟨10.1103/PhysRevB.103.L161110⟩
Physical Review B

We propose and study a wave function describing an interacting three-dimensional fractional chiral hinge insulator (FCHI) constructed by Gutzwiller projection of two non-interacting second order topological insulators with chiral hinge modes at half

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::deec98eb33010e8c3dc3a7597f9a74a2
https://hal.archives-ouvertes.fr/hal-02999514

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Boundary-induced topological and mid-gap states in charge conserving one-dimensional superconductors: Fractionalization transition

Autor: Natan Andrei, Parameshwar R. Pasnoori, P. Azaria

Publikováno v: Phys.Rev.B
Phys.Rev.B, 2021, 104 (13), pp.134519. ⟨10.1103/PhysRevB.104.134519⟩

International audience; We investigate one-dimensional charge conserving, spin-singlet (SSS), and spin-triplet (STS) superconductors in the presence of boundary fields. In systems with open boundary conditions (OBC) it has been demonstrated that STS

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe19c85bf1e84ea3d4a04741db8613a2
https://hal.archives-ouvertes.fr/hal-03178608

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Dissipative preparation of fractional Chern insulators

Autor: Emil J. Bergholtz, Jan Carl Budich, Zhao Liu

We report on the numerically exact simulation of the dissipative dynamics governed by quantum master equations that feature fractional quantum Hall states as unique steady states. In particular, for the paradigmatic Hofstadter model, we show how Laug

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61ca0475c1304c9acf084ab901b29048

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Dynamic crystallization in a quantum Ising chain

Autor: Zhi Song, K. L. Zhang

Publikováno v: Physical Review A. 102

The topological degeneracy of ground states in transverse field Ising chain cannot be removed by local perturbation and allows it to be a promising candidate for topological computation. We study the dynamic processes of crystallization and dissoluti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a27cdedf086fcdee1363b9c294869e5
https://doi.org/10.1103/physreva.102.022211

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