Adiabatic charge pumping rice-mele model
WebFeb 23, 2016 · In this chapter we construct two-dimensional insulators with nonvanishing Chern numbers, by promoting the time t in a an adiabatic pump cycle on a one-dimensional insulator, to a wavenumber k y . This construction not only gives us control over the Chern number, but also brings with it edge states. WebApr 15, 2024 · The study of non-adiabatic effects on a specific example of Thouless pump, the so-called Rice–Mele model , showed the emergence of quadratic corrections in the …
Adiabatic charge pumping rice-mele model
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WebIn this study, the Landau-Zener (LZ) transition method is applied to investigate a weak non-adiabatic effect on the Zak phase and the topological charge pumping in the Rice-Mele … WebJun 27, 2024 · Panel (b): the energy bands for Rice-Mele Hamiltonian for different values of m, = jt1jj t2jin the 1st Brillouin Zone. The critical point is found at m = 0 and = 0. Panel (c): the pumped charge Q after the completion of a full adiabatic cycle is the winding number around the critical point in the parameter space of the Rice-Mele model. need to ...
WebOct 7, 2024 · Abstract We study the Rice-Mele (RM) model in the presence of an asymmetric hopping-induced non-Hermitian parameter, γ. In particular, we examine the effect of non-Hermiticity on the... WebApr 29, 2024 · Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model E. Bertok, F. Heidrich-Meisner, A. A. Aligia A Thouless pump transports an integer amount of charge when pumping adiabatically around a …
WebAdiabatic Charge Pumping, Rice-Mele Model János K. Asbóth, László Oroszlány, András Pályi Pages 55-68 Current Operator and Particle Pumping János K. Asbóth, László Oroszlány, András Pályi Pages 69-83 Two-Dimensional Chern Insulators: The Qi-Wu-Zhang Model János K. Asbóth, László Oroszlány, András Pályi Pages 85-98 WebApr 7, 2024 · Effect of disorder on topological charge pumping in the Rice-Mele model Authors: A. L. C. Hayward E. Bertok U. Schneider F. Heidrich-Meisner Abstract Recent experiments with ultracold...
The most straightforward way to operate a charge pump in the Rice-Mele model is to make sure that the system falls apart at all times to disconnected dimers. This will happen if at any time either the intercell hopping amplitude w , or the intracell hopping amplitude v vanishes. See more According to the result (3.13), the Wannier center positions of a certain band, in units of the lattice constant, are given by the Berry phase of that band divided by … See more Our above results for the smoothly modulated Rice-Mele cycle suggest the interpretation that during a complete cycle, each electron in the filled valence band is … See more So far, the discussed results were obtained for the special case of the smoothly modulated Rice-Mele pumping cycle with average intracell hopping \bar{v} = 1. … See more So far, we have the following picture of an adiabatic pump in a long open chain. If we take a cross section at the middle of the chain, a single particle will be … See more
WebAug 31, 2024 · (a) Rice-Mele model. (b) Sketch of the protocol for charge pumping in the parameter space of the Rice-Mele model. (c) Transported charge as a function of angle ϕ in the Δ − (t 1 − t 2) plane for different values of L. The path for the pump is parameterized as t 1 = 1 − 0.5 cos ϕ, t 2 = 1 + 0.5 cos ϕ, and Δ = 2 / 3 sin ϕ. (d) The ... danfoss hot gas defrostWebIn this study, the Landau-Zener (LZ) transition method is applied to investigate a weak non-adiabatic effect on the Zak phase and the topological charge pumping in the Rice-Mele model. The non-adiaba danfoss hose sawWebAdiabatic charge pumping, Rice-Mele model.- Current operator and particle pumping.- Two-dimensional Chern insulators - the Qi-Wu-Zhang model.- Continuum model of localized states at a domain wall.- Time-reversal symmetric two-dimensional topological insulators - the Bernevig-Hughes-Zhang model.-The Z2 invariant of two-dimensional … birmingham ibis airportWebApr 29, 2024 · We employ real-time simulations in finite and infinite systems to calculate the adiabatic charge and spin transport, complemented by the analysis of gaps and the … birmingham icb formularyWeb56 4 Adiabatic Charge Pumping, Rice-Mele Model 4.1 Charge Pumping in a Control Freak Way The most straightforward way to operate a charge pump in the Rice … danfoss hot water programmerWebJul 27, 2024 · The standard realization for Thouless pumping 1, 2 is the time-periodic version of the Rice-Mele (RM) model 3, which describes a dimerized tight-binding chain whose system parameters change... danfoss hsv3 actuatorWeb(b) Adiabatic potentials for N = 3 0 λ/6 3 2 −4 −2 0 2 4 Energy, E/E R 2 0 1 (c) Tight binding model s-band p-band (d) Unraveled Rice-Mele model FIG. 1. Lattice concept. (a) Experimental geometry with a single-frequency Raman beam traveling along e x and N Raman laser beams sharing the same spatial mode traveling along −e x. The level danfoss hot water radiator controls