Anderson localization transition in disordered hyperbolic lattices
We study Anderson localization in disordered tight-binding models on hyperbolic lattices.
Such lattices are geometries intermediate between ordinary two-dimensional crystalline …
Such lattices are geometries intermediate between ordinary two-dimensional crystalline …
Hyperbolic lattices and two-dimensional Yang-Mills theory
G Shankar, J Maciejko - Physical Review Letters, 2024 - APS
Hyperbolic lattices are a new type of synthetic quantum matter emulated in circuit quantum
electrodynamics and electric-circuit networks, where particles coherently hop on a discrete …
electrodynamics and electric-circuit networks, where particles coherently hop on a discrete …
Topological linear response of hyperbolic Chern insulators
We establish a connection between the electromagnetic Hall response and band topological
invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless …
invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless …
Chiral gapless spin liquid in hyperbolic space
We analyze the Kitaev model on the $\{9, 3\} $ hyperbolic lattice. The $\{9, 3\} $ is formed by
a regular 3-coordinated tiling of nonagons, where the 3-color coding of bonds according to …
a regular 3-coordinated tiling of nonagons, where the 3-color coding of bonds according to …
Hyperbolic spin liquids
Hyperbolic lattices present a unique opportunity to venture beyond the conventional
paradigm of crystalline many-body physics and explore correlated phenomena in negatively …
paradigm of crystalline many-body physics and explore correlated phenomena in negatively …
Topological flat bands in hyperbolic lattices
DH Guan, L Qi, Y Zhou, AL He, YF Wang - arXiv preprint arXiv:2408.16615, 2024 - arxiv.org
Topological flat bands (TFBs) provide a promising platform to investigate intriguing
fractionalization phenomena, such as the fractional Chern insulators (FCIs). Most of TFB …
fractionalization phenomena, such as the fractional Chern insulators (FCIs). Most of TFB …
Wormhole-induced effective coupling in SYK chains
Inhomogeneous quantum chains have recently been considered in the context of
developing novel discrete realizations of holographic dualities. To advance this programme …
developing novel discrete realizations of holographic dualities. To advance this programme …
Elastic hyperbolic strip lattices
We investigate the dynamic properties of elastic lattices defined by tessellations of a
hyperbolic strip domain. These strip lattices are generated by a conformal map of …
hyperbolic strip domain. These strip lattices are generated by a conformal map of …
Conformal Boundary as Holographic Dual to the Hyperbolic Fracton Model
In addition to describing our universe, gravitational theories profoundly inspire the study of
emergent properties of exotic phases of matter. While the Anti-de Sitter/conformal field …
emergent properties of exotic phases of matter. While the Anti-de Sitter/conformal field …
Kitaev Model on Hurwitz Tilings: A Non-Abelian Gapped Chiral Spin Liquid
R Mosseri, Y Iqbal, R Vogeler, J Vidal - arXiv preprint arXiv:2411.03944, 2024 - arxiv.org
arXiv:2411.03944v1 [cond-mat.str-el] 6 Nov 2024 Page 1 Kitaev Model on Hurwitz Tilings: A
Non-Abelian Gapped Chiral Spin Liquid Rémy Mosseri,1, ∗ Yasir Iqbal,2, † Roger Vogeler,3, ‡ …
Non-Abelian Gapped Chiral Spin Liquid Rémy Mosseri,1, ∗ Yasir Iqbal,2, † Roger Vogeler,3, ‡ …