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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

Methods of Mathematical Physics

Topological spectral bands with frieze groups

Fabian R. Lux; Tom Stoiber; Shaoyun Wang; Guoliang Huang; Emil Prodan

https://doi.org/10.1063/5.0127973

Many-Body and Condensed Matter Physics

Homotopy of periodic 2 × 2 matrices

Joseph E. Avron; Ari M. Turner

https://doi.org/10.1063/5.0138809

Many-Body and Condensed Matter Physics

2D Fermionic SPT with CRT symmetry

Yoshiko Ogata

https://doi.org/10.1063/5.0136679

Many-Body and Condensed Matter Physics

Spectral localization for semimetals and Callias operators

Hermann Schulz-Baldes; Tom Stoiber

https://doi.org/10.1063/5.0093983

Many-Body and Condensed Matter Physics

Ultra-generalized Wannier bases: Are they relevant to topological transport?

Massimo Moscolari; Gianluca Panati

https://doi.org/10.1063/5.0137320

Methods of Mathematical Physics

Geometric construction of classes in van Daele’s K-theory

Collin Mark Joseph; Ralf Meyer

https://doi.org/10.1063/5.0136854

Many-Body and Condensed Matter Physics

Ground state degeneracy on torus in a family of Z N toric code

Haruki Watanabe; Meng Cheng; Yohei Fuji

https://doi.org/10.1063/5.0134010

Many-Body and Condensed Matter Physics

Rigorous index theory for one-dimensional interacting topological insulators

Hal Tasaki

https://doi.org/10.1063/5.0123738

Many-Body and Condensed Matter Physics

A nonvanishing spectral gap for AKLT models on generalized decorated graphs

Angelo Lucia; Amanda Young

https://doi.org/10.1063/5.0139706

Many-Body and Condensed Matter Physics

On topology of the moduli space of gapped Hamiltonians for topological phases

Po-Shen Hsin; Zhenghan Wang

https://doi.org/10.1063/5.0136906

Many-Body and Condensed Matter Physics

Gauge invariance and anomalies in condensed matter physics

Jürg Fröhlich

https://doi.org/10.1063/5.0135142

Partial Differential Equations

Topological charge conservation for continuous insulators

Guillaume Bal

https://doi.org/10.1063/5.0102607

Many-Body and Condensed Matter Physics

Bragg spectrum, K-theory, and gap labeling of aperiodic solids

Johannes Kellendonk

https://doi.org/10.1063/5.0132332

Many-Body and Condensed Matter Physics

The asymmetric valence-bond-solid states in quantum spin chains: The difference between odd and even spins

Daisuke Maekawa; Hal Tasaki

https://doi.org/10.1063/5.0123743

Methods of Mathematical Physics

A new light on the FKMM invariant and its consequences

Giuseppe De Nittis; Kiyonori Gomi

https://doi.org/10.1063/5.0135106

REVIEW ARTICLES

Bosonic topological insulators at the superconductor-to-superinsulator transition

M. C. Diamantini; C. A. Trugenberger

https://doi.org/10.1063/5.0135522

Many-Body and Condensed Matter Physics

Non-local order parameters for fermion chains via the partial transpose

L. P. Mayer

https://doi.org/10.1063/5.0102127

Many-Body and Condensed Matter Physics

Topology vs localization in synthetic dimensions

Domenico Monaco; Thaddeus Roussigné

https://doi.org/10.1063/5.0130240

REVIEW ARTICLES

On adiabatic theory for extended fermionic lattice systems

Joscha Henheik; Tom Wessel

https://doi.org/10.1063/5.0123441

Many-Body and Condensed Matter Physics

Estimating bulk and edge topological indices in finite open chiral chains

Lucien Jezequel; Clément Tauber; Pierre Delplace

https://doi.org/10.1063/5.0096720

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Mathematical Aspects of Topological Phases

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Mathematical Aspects of Topological Phases

Resources

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pubs.aip.org

Connect with AIP Publishing

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