Chern insulator in a hyperbolic lattice
WebDec 29, 2015 · Haldane model defined in honeycomb lattice is an example of chern insulator which has non-zero chern-number and doesn't need any symmetry to protect it from adiabatic transform (without gap close) to a trival insulator. Z2 topology insulator is a subset of chern insulator but its chern-number is zero. However, it still has nontrival … WebMar 4, 2024 · It is demonstrated that the chiral edge states of Chern insulators are robust against weak disorder in the hyperbolic lattice. More fascinating is the discovery of …
Chern insulator in a hyperbolic lattice
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WebApr 7, 2024 · Download PDF Abstract: Particles hopping on a two-dimensional hyperbolic lattice feature unconventional energy spectra and wave functions that provide a largely uncharted platform for topological phases of matter beyond the Euclidean paradigm. Using real-space topological markers as well as Chern numbers defined in the higher … WebSep 24, 2024 · So far, most of theoretical proposals for novel magnetic topological insulators, namely, Chern insulators, are based on the honeycomb-lattice platform and utilize the half-metallic band structure ...
WebSimple Models for the Chern Insulator. In: Topological Insulators and Topological Superconductors. Princeton: Princeton University Press; 2013. p.91-108. ... Magnetic Field on the Square Lattice. 6. Hall Conductance and Edge Modes: The Bulk-Edge Correspondence. 7. Graphene. 8. Simple Models for the Chern Insulator WebIt is demonstrated that the chiral edge states of Chern insulators are robust against weak disorder in the hyperbolic lattice. More fascinating is the discovery of disorder-induced …
http://home.ustc.edu.cn/~lxsphys/2024-4-15/BerryPhaseChernNumber.pdf WebApr 11, 2024 · We theoretically investigate, within Schwinger-boson mean-field theory, the transition from a gapped Z 2 quantum spin liquid, in a J 1 − J 2 Heisenberg spin-1 2 system in a honeycomb lattice, to a chiral Z 2 spin-liquid phase under the presence of time-reversal symmetry-breaking scalar chiral interaction (with amplitude J χ).We numerically obtain a …
WebMar 20, 2024 · The Haldane model transforms the semi-metallic graphene into a Chern insulator by introducing complex-valued hopping terms t 2 e ±iφ between the second-nearest neighbors. It is an open question whether the Chern phases are generally present in hyperbolic lattices, recently realized experimentally in circuit QED and topolectrical …
Webthe hyperbolic lattice due to the negative curvature. This is completely contrary to the case of ... Boundary-dominated first-order topological states in hyperbolic Chern insulators. We start by briefly introducing the projection scheme of a hyperbolic plane with a uniform negative curvature in the (2+1)-dimensional Minkowski space onto a ... one for the money movie netflixWebMay 27, 2024 · Haldane4 later theorized that Chern insulators with integer quantum Hall effects could appear in lattice models with complex hopping parameters even at zero magnetic field. ... Chern insulator ferromagnets are characterized by a quantized anomalous Hall effect and have so far been identified experimentally in magnetically … one for the money movie wikiWebAug 6, 2024 · The associated Chern number is defined as. where the integral is over the first Brillouin zone. Consequently,the system changes from one topological magnon insulator with Chern number 1 to another one with Chern number -1. In other words, a light intensity field can lead to a topological phase transition in a topological magnon … one for the money phraseWebJul 5, 2024 · In a landmark paper in 1988, Haldane showed that a Chern insulator could be realized through complex next-nearest-neighbor hopping in a honeycomb lattice. … one for the money movie fullWebSep 3, 2024 · To introduce a hyperbolic lattice, we consider a potential V(x, y) with the symmetry of a {4g, 4g} hyperbolic tiling with g ≥ 2. The unit cell of such tilings, which are … one for the money one for the show lyricsWebMar 7, 2024 · To explore the non-Euclidean generalization of higher-order topological phenomena, we construct a higher-order topological insulator model in hyperbolic lattices by breaking the time-reversal symmetry (TRS) of quantum spin Hall insulators. We investigate three kinds of hyperbolic lattices, i.e., hyperbolic ${4,5}, {8,3}$, and … one for the money torrentWebStudies on two-dimensional electron systems in a strong magnetic field first revealed the quantum Hall (QH) effect1, a topological state of matter featuring a finite Chern number (C) and chiral edge states.2,3 Haldane later theorized that Chern insulators with integer QH effects could appear in lattice models with one for the money parent review