Chern insulator in a hyperbolic lattice
WebSep 24, 2024 · We propose a realization of Chern insulator in the Kagome-lattice-based MOF with the simplest choice of benzene-hexathiole (BHT) ligands with Mn and Fe as 3d … WebAug 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 …
Chern insulator in a hyperbolic lattice
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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 … WebSep 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 …
WebMay 12, 2024 · On the lattice’s three-dimensional surface, we observe topological surface states that are associated with a nonzero second Chern number but vanishing first Chern numbers. The 4D lattice belongs ... WebApr 6, 2024 · 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-dimensional …
WebMay 26, 2024 · It is clearly shown that the wave packet unidirectionally moves along the edge of hyperbolic Chern insulators, and passes through defects without … Web[2202.03464] Hyperbolic Lattice for Scalar Field Theory in AdS3 (Cameron V.Cogburn) 2/8 [2202.02753] Triple-meron crystal in high-spin Kitaev magnets (Jize Zhao) ... [2202.00699] # Experimentally accessible scheme for a fractional Chern insulator in Rydberg atoms (Maria Daghofer, Nicolai Lang) [2202.01173] Deviation from maximal entanglement ...
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 …
WebJun 6, 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 disorder-induced topologically nontrivial phases exhibiting chiral edge states in the … sensis white pages residential adelaideWebforms the Chern bands of the Hofstadter but-terfly (7–9). These bands are formally equivalent to Chern bands proposed to occur in zero mag-netic field; at any fractional flux, a finite-field lattice model can be converted to an equivalent zero-field model using gauge invariance ( 16). Wemeasured thepenetration field capacitance (27)(C sensis rotherhamWebSimple Models for the Chern Insulator. In: Topological Insulators and Topological Superconductors. Princeton: Princeton University Press; 2013. p.91-108. ... Magnetic … sensi supplementing with auxWebIt 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 … sensis victoriaWebStudies 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 sensis white pages qldWebApr 6, 2024 · Experimental studies of lattice effects in topological systems have been limited to probing the single-particle physics of Chern insulators. The realization of a Chern insulator in magnetically doped thin films with strong spin-orbit coupling was an important milestone ().Cold atomic gases have also provided a rather controlled setting in which to … sensis whiteWebFinally, in Sec. 5 we systematically construct a topological insulator model on a two-dimensional hyperbolic lattice. In particular, we develop a hyperbolic counterpart to both the time-reversal Haldane-Chern insulator and the time-reversal symmetric Kane-Mele insulator, and collect evidence of the topological nature of their metallic in-gap ... sensis white pages residential wa