Bulk-edge correspondence in the kitaev chain
WebJul 12, 2016 · Figure 2. Entanglement properties of cylindrical subregions for J y / J x = 0.3 as a function of J z in the Kitaev system; the gapless phase is shaded blue. Left: the top plot shows the entanglement entropy for various sizes of the full system with the aspect ratio fixed at N y / N x = 10, with the arrow denoting the saturation value in the large-J z limit; … WebKitaev chain and bulk-edge correspondence. Course subject (s) 01. Topology in toy models.
Bulk-edge correspondence in the kitaev chain
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WebOct 1, 2024 · The Kitaev chain models a p-wave superconductor and hosts two Majorana bound states at the ends of the chain in the topological phase, for example if μ=0, Δ=t, where μ, Δ and t are chemical... WebMar 3, 2024 · We find that although there are complex modes, all the edge modes have zero energy and obey the bulk-boundary correspondence. This results in the Kramer-type degeneracy of both the real and complex levels as a signature of the topologically nontrivial phase. 1 More Received 15 November 2024 Revised 20 February 2024 Accepted 23 …
WebAs we move the confining potential, we drag the electrons captured in it. So our system now looks like this: It is described by the Hamiltonian H ( t) = k 2 2 m + A [ 1 − cos ( x / λ + 2 π t / T)]. As we discussed, if we change t very slowly, the solution will not depend on how fast t … WebThe Kitaev chain and its bulk properties 2.1. Model TheKitaevchainisaonedimensionalmodelbasedonalattice ofNspinlessfermions.Itischaracterizedbythreeparame- ters:thechemicalpotentialμ,thehoppingamplitudet,and thep …
WebSep 29, 2024 · When it comes to the Kitaev chain, there are several ways to define a topological bulk invariant, whose value reveals whether the first and the last Majorana Fermion of your chain (I’m assuming open boundary conditions) are left unpaired so to make for a zero-energy Fermionic mode.
WebFeb 15, 2024 · We present a detailed study of the topological properties of the Kitaev chain with long-range pairing terms and in the presence of an Aubry-André-Harper on-site …
WebMar 8, 2024 · Topological winding numbers defined for the Floquet operator and Floquet entanglement Hamiltonian are found to generate consistent predictions about the phase diagram, bulk-edge correspondence... lichfl chennai office addressWebThis is the essence of bulk-edge correspondence. For example, the unpaired Majorana bound states at the edges of a Kitaev chain exist because they are separated by the bulk of the chain. Observe that the … lichfl contact numberWebTo obtain a single bulk invariant Q we can simply multiply the two! Hence we arrive at the following expression: A value Q=−1 means that the bulk is in a topological phase, such that if the wire was cut at a point, two … mckinley financial brookville paWebLast week, we introduced a thought-experiment where we probed the bulk-edge correspondence of Majorana modes by changing the sign of the hopping across a bond. The non-trivial value of the topological invariant results in a fermion parity switch as a result of the change in sign of the hopping t across the junction i.e. t → − t. lic hfl customerWebJun 4, 2024 · We have shown that the geometric frustration is reduced but still present for chemical potential values close to the critical value of the unperturbed Kitaev chain. … mckinley fence wasilla akWebThis edge mechanism can be related to a change in the value of the bulk topological index at criticality, upon careful redefinition of the latter. The critical point turns out to be... lichfl corporate officeWebJun 20, 2012 · We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the point of view of the index … lichfl current rate of interest