Magic fermions: Carroll and flat bands

A Bagchi, A Banerjee, R Basu, M Islam… - Journal of High Energy …, 2023 - Springer
A bstract The Carroll algebra is constructed as the c→ 0 limit of the Poincare algebra and is
associated to symmetries on generic null surfaces. In this paper, we begin investigations of …

Flat band separation and robust spin Berry curvature in bilayer kagome metals

D Di Sante, C Bigi, P Eck, S Enzner, A Consiglio… - Nature Physics, 2023 - nature.com
Kagome materials have emerged as a setting for emergent electronic phenomena that
encompass different aspects of symmetry and topology. It is debated whether the XV6Sn6 …

Classification of classical spin liquids: Typology and resulting landscape

H Yan, O Benton, R Moessner, AH Nevidomskyy - Physical Review B, 2024 - APS
Classical spin liquids (CSL) lack long-range magnetic order and are characterized by an
extensive ground-state degeneracy. We propose a classification scheme of CSLs based on …

3/2 magic angle quantization rule of flat bands in twisted bilayer graphene and its relationship to the quantum Hall effect

LA Navarro-Labastida, GG Naumis - Physical Review B, 2023 - APS
Flat band electronic modes in twisted graphene bilayers are responsible for
superconducting and other highly correlated electron-electron phases. Although some hints …

Kaleidoscopes of Hofstadter butterflies and Aharonov-Bohm caging from -root topology in decorated square lattices

AM Marques, J Mögerle, G Pelegrí, S Flannigan… - Physical Review …, 2023 - APS
Square-root topology describes models whose topological properties can be revealed upon
squaring the Hamiltonian, which produces their respective parent topological insulators …

Topological n-root Su–Schrieffer–Heeger model in a non-Hermitian photonic ring system

D Viedma, AM Marques, RG Dias, V Ahufinger - Nanophotonics, 2024 - degruyter.com
Square-root topology is one of the newest additions to the ever expanding field of
topological insulators (TIs). It characterizes systems that relate to their parent TI through the …

Classification of classical spin liquids: Topological quantum chemistry and crystalline symmetry

Y Fang, J Cano, AH Nevidomskyy, H Yan - Physical Review B, 2024 - APS
Frustrated magnetic systems can host highly interesting phases known as classical spin
liquids (CSLs), which feature extensive ground state degeneracy and lack long-range …

[HTML][HTML] From orthosymplectic structure to super topological matter

LB Drissi, EH Saidi - Nuclear Physics B, 2023 - Elsevier
Topological supermatter is given by ordinary topological matter constrained by
supersymmetry or graded supergroups such as OSP (2N| 2N). Using results on super …

Fermionic charges in 3D supersymmetric topological matter

LB Drissi, EH Saidi, O Fassi-Fehri… - The European Physical …, 2023 - Springer
Topological phase of matter has attracted a great deal of interest. Drawing inspiration from
the recent advances in this field, we model the supersymmetric extension of the Altland …

Frustrated Magnetism, Symmetries and -Equivariant Topology

S Zahedi - arxiv preprint arxiv:2404.09023, 2024 - arxiv.org
A novel lemma in $\mathbb {Z} _2 $-equivariant homotopy theory is stated, proven and
applied to the topological classification of frustrated magnets in the presence of canonical …