Found 82 Documents (Results 1–82)
Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry. (English) Zbl 07914160
Topology of 2D Dirac operators with variable mass and an application to shallow-water waves. (English) Zbl 1541.81055
Differential geometric invariants for time-reversal symmetric Bloch bundles. II: The low-dimensional “quaternionic” case. (English) Zbl 1541.57030
Reviewer: Theo Johnson-Freyd (Waterloo)
Manifestation of the topological index formula in quantum waves and geophysical waves. (Manifestation de la formule de l’indice topologique dans les ondes quantiques et les ondes géophysiques.) (English. French summary) Zbl 1523.35261
Reviewer: Panagiotis Koumantos (Athína)
An index theorem for quarter-plane Toeplitz operators via extended symbols and gapped invariants related to corner states. (English) Zbl 1525.47059
Discrete Laplacian in a half-space with a periodic surface potential. I: Resolvent expansions, scattering matrix, and wave operators. (English) Zbl 1540.47021
Symmetric Fermi projections and Kitaev’s table: topological phases of matter in low dimensions. (English) Zbl 1507.82074
Threefold Weyl points for the Schrödinger operator with periodic potentials. (English) Zbl 1497.35403
Reviewer: Dimitar A. Kolev (Sofia)
Effective gaps in continuous Floquet Hamiltonians. (English) Zbl 1486.35357
Reviewer: Eric Stachura (Marietta)
The bulk-edge correspondence for continuous dislocated systems. (Correspondance bulk-edge pour des dislocations continues.) (English. French summary) Zbl 1492.81054
Wave-packet propagation in a finite topological insulator and the spectral localizer index. (English) Zbl 1467.82089
Ubiquity of conical points in topological insulators. (Omniprésence des points de Dirac dans les isolants topologiques.) (English. French summary) Zbl 1516.57046
An elementary proof and detailed investigation of the bulk-boundary correspondence in the generic two-band model of Chern insulators. (English) Zbl 1455.82003
Continuum Schrödinger operators for sharply terminated graphene-like structures. (English) Zbl 1454.82053
Approximate symmetries and conservation laws in topological insulators and associated \(\mathbb{Z}\)-invariants. (English) Zbl 1448.81493
An elementary rigorous proof of bulk-boundary correspondence in the generalized Su-Schrieffer-Heeger model. (English) Zbl 1448.81443
Topologically protected edge modes in one-dimensional chains of subwavelength resonators. (English. French summary) Zbl 1454.35056
Two-dimensional time-reversal-invariant topological insulators via Fredholm theory. (English) Zbl 07259470
Bulk-boundary correspondence for disordered free-fermion topological phases. (English) Zbl 1446.81043
Reviewer: Hong-Hao Tu (Dresden)
Continuous bulk and interface description of topological insulators. (English) Zbl 1435.82027
Reviewer: Irina Petreska (Skopje)
Crystallographic T-duality. (English) Zbl 1439.19010
Spin conductance and spin conductivity in topological insulators: analysis of Kubo-like terms. (English) Zbl 1493.82005
MSC:
82C10
Topological invariants and corner states for Hamiltonians on a three-dimensional lattice. (English) Zbl 1400.81109
Chiral vector bundles. (English) Zbl 1411.57044
Reviewer: Mark Grant (Aberdeen)
Universal edge transport in interacting Hall systems. (English) Zbl 1401.81090
Reviewer: Eric Stachura (Marietta)
Honeycomb Schrödinger operators in the strong binding regime. (English) Zbl 1414.35061
Reviewer: Jake Fillman (Blacksburg)
MSC:
35J10
The FKMM-invariant in low dimension. (English) Zbl 1395.55018
Reviewer: Piotr Garbaczewski (Opole)
Bulk-edge correspondence for two-dimensional Floquet topological insulators. (English) Zbl 1392.82008
The cohomological nature of the Fu-Kane-Mele invariant. (English) Zbl 1390.57017
Reviewer: Piotr Garbaczewski (Opole)
The topological classification of one-dimensional symmetric quantum walks. (English) Zbl 1391.82027
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
On the construction of Wannier functions in topological insulators: the 3D case. (English) Zbl 1386.82068
Reviewer: Guy Jumarie (Montréal)
MSC:
82D20
Sensitivity of quantum walks to a boundary of two-dimensional lattices: approaches based on the CGMV method and topological phases. (English) Zbl 1386.82022
Bulk-edge correspondence and the cobordism invariance of the index. (English) Zbl 1403.19004
Reviewer: Robert Yuncken (Clermont-Ferrand)
Gauge-theoretic invariants for topological insulators: a bridge between Berry, Wess-Zumino, and Fu-Kane-Mele. (English) Zbl 1370.35093
Local disorder, topological ground state degeneracy and entanglement entropy, and discrete anyons. (English) Zbl 1372.82010
The \(K\)-theoretic bulk-edge correspondence for topological insulators. (English) Zbl 1372.82023
Reviewer: Utkir A. Rozikov (Tashkent)
MSC:
82B44
Topologically protected states in one-dimensional systems. (English) Zbl 1379.35076
Mem. Am. Math. Soc. 1173, viii, 118 p. (2017).
Reviewer: Patrick Winkert (Berlin)
Wannier functions and \(\mathbb{Z}_2\) invariants in time-reversal symmetric topological insulators. (English) Zbl 1370.81081
Reviewer: Ivan A. Parinov (Rostov-na-Donu)
Edge states in honeycomb structures. (English) Zbl 1404.35128
Reviewer: Jürgen Appell (Würzburg)
T-duality simplifies bulk-boundary correspondence: some higher dimensional cases. (English) Zbl 1354.81065
Topological insulators from the perspective of non-commutative geometry and index theory. (English) Zbl 1361.82037
Reviewer: Ivan A. Parinov (Rostov-na-Donu)
T-duality simplifies bulk-boundary correspondence. (English) Zbl 1353.82068
Reviewer: Ivan A. Parinov (Rostov-na-Donu)
Index pairings in presence of symmetries with applications to topological insulators. (English) Zbl 1348.82083
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
\(\mathbb Z_2\) invariants of topological insulators as geometric obstructions. (English) Zbl 1346.81158
Reviewer: Piotr Garbaczewski (Opole)
Construction of real-valued localized composite Wannier functions for insulators. (English) Zbl 1338.82057
Reviewer: Guy Jumarie (Montréal)
Classification of “quaternionic” Bloch-bundles: topological quantum systems of type AII. (English) Zbl 1326.57047
Reviewer: Piotr Garbaczewski (Opole)
Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetry. (English) Zbl 1318.82045
Product vacua with boundary states and the classification of gapped phases. (English) Zbl 1296.82020
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