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Mathematical Aspects of Topological Phases

This special collection contains original research and review articles on all aspects of topological phases of a theoretical or mathematical nature.

Guest Editors: Wojciech De Roeck, Gian Michele Graf, Bruno Nachtergaele, and Hal Tasaki

Many-Body and Condensed Matter Physics
2D Fermionic SPT with CRT symmetry
Yoshiko Ogata
10.1063/5.0136679
Many-Body and Condensed Matter Physics
Spectral localization for semimetals and Callias operators
Hermann Schulz-Baldes; Tom Stoiber
10.1063/5.0093983
Many-Body and Condensed Matter Physics
Ultra-generalized Wannier bases: Are they relevant to topological transport?
Massimo Moscolari; Gianluca Panati
10.1063/5.0137320
Methods of Mathematical Physics
Geometric construction of classes in van Daele’s K-theory
Collin Mark Joseph; Ralf Meyer
10.1063/5.0136854
Many-Body and Condensed Matter Physics
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Ground state degeneracy on torus in a family of Z N toric code
Haruki Watanabe; Meng Cheng; Yohei Fuji
10.1063/5.0134010
Many-Body and Condensed Matter Physics
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Rigorous index theory for one-dimensional interacting topological insulators
Hal Tasaki
10.1063/5.0123738
Many-Body and Condensed Matter Physics
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A nonvanishing spectral gap for AKLT models on generalized decorated graphs
Angelo Lucia; Amanda Young
10.1063/5.0139706
Many-Body and Condensed Matter Physics
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On topology of the moduli space of gapped Hamiltonians for topological phases
Po-Shen Hsin; Zhenghan Wang
10.1063/5.0136906
Many-Body and Condensed Matter Physics
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Gauge invariance and anomalies in condensed matter physics
Jürg Fröhlich
10.1063/5.0135142
Partial Differential Equations
Topological charge conservation for continuous insulators
Guillaume Bal
10.1063/5.0102607
Many-Body and Condensed Matter Physics
Bragg spectrum, K-theory, and gap labeling of aperiodic solids
Johannes Kellendonk
10.1063/5.0132332
Many-Body and Condensed Matter Physics
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The asymmetric valence-bond-solid states in quantum spin chains: The difference between odd and even spins
Daisuke Maekawa; Hal Tasaki
10.1063/5.0123743
Methods of Mathematical Physics
A new light on the FKMM invariant and its consequences
Giuseppe De Nittis; Kiyonori Gomi
10.1063/5.0135106
REVIEW ARTICLES
Bosonic topological insulators at the superconductor-to-superinsulator transition
M. C. Diamantini; C. A. Trugenberger
10.1063/5.0135522
Many-Body and Condensed Matter Physics
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Non-local order parameters for fermion chains via the partial transpose
L. P. Mayer
10.1063/5.0102127
Many-Body and Condensed Matter Physics
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Topology vs localization in synthetic dimensions
Domenico Monaco; Thaddeus Roussigné
10.1063/5.0130240
REVIEW ARTICLES
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On adiabatic theory for extended fermionic lattice systems
Joscha Henheik; Tom Wessel
10.1063/5.0123441
Many-Body and Condensed Matter Physics
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Estimating bulk and edge topological indices in finite open chiral chains
Lucien Jezequel; Clément Tauber; Pierre Delplace
10.1063/5.0096720
Quantum Information and Computation
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A construction of combinatorial NLTS
Anurag Anshu; Nikolas P. Breuckmann
10.1063/5.0113731
Many-Body and Condensed Matter Physics
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Is the continuum SSH model topological?
Jacob Shapiro; Michael I. Weinstein
10.1063/5.0064037

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