Slow quench in ssh model
WebbThe Su-Schrieffer–Heeger (SSH) model ¶ The simplest non-trivial topology : 1-d lattice. Peierls instability makes the atoms dimerize. Polyacetylene Structure: Tight-binding method: first quantization ¶ 1-d atom chain Tight-binding method: Single electron total Hamiltonian in atom chain: H = p2 2m + U(x) with periodical potential: U(x + na) = U(x) WebbIn condensed matter physics, the Su–Schrieffer–Heeger (SSH) model is a one-dimensional lattice model that presents topological features. It was devised by Wu-Pei …
Slow quench in ssh model
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Webb1 mars 2024 · We examine the quench dynamics of an extended Su-Schrieffer-Heeger (SSH) model involving long-range hopping that can hold multiple topological phases. Using winding number diagrams to characterize ... Webb10 dec. 2024 · The SSH model is described by the Hamiltonian (1) H ˆ = ∑ l [ q ( a l † b l † + b l † a l †) + q ′ ( a l + 1 † b l † + b l † a l + 1 †)], where a l ( b l) destroys a fermion on site-l of sublattice- A ( B ), and q ( q ′) is the intracell (intercell) tunneling matrix element.
Webb4 maj 2015 · The only way to close the bulk gap in the SSH model is to tune δ t to zero. As long as δ t ≠ 0, the bulk gap (which is proportional to δ t ) is always open, no matter how many edges you cut open or how many edge modes you have. Webb19 juli 2024 · The discrete Hamiltonian of Su, Schrieffer and Heeger (SSH) is a well-known one-dimensional translation-invariant model in condensed matter physics. The model consists of two atoms per unit cell and describes in-cell and out-of-cell electron-hopping between two sub-lattices.
http://albi3ro.github.io/M4/WindingNumber.html Webb12 dec. 2024 · Studying whether these transitions are robust, we find, in the paradigmatic case of the SSH model, that they persist for both quantum quench protocols of finite duration in time as well as thermal initial states, while they are washed out in the presence of fermion-fermion interactions and for finite system size.
WebbInstitute of Physics chill plate 意味WebbThe topological phase of the Su-Schrieffer-Heeger (SSH) model is known to exhibit two edge states that are topologically protected by the chiral symmetry. We demonstrate that, for any parameter quench performed on the half-filled SSH chain, the occupancy of each lattice site remains locked to 1/2 at any time, due to the additional time-reversal and … grace\\u0027s sweet lifeWebb7 apr. 2024 · We study the quench dynamics of non-Hermitian topological models with non-Hermitian skin effects. Adopting the non-Bloch band theory and projecting quench … grace\u0027s strong blendWebbThe Su-Schrieffer-Heeger model, or SSH model for short, is in a sense one of the simplest models of topology and the resulting edge states (the bulk-boundary correspondence), so a full analysis of it helps to shed light on other models in higher dimension with topologies that might be a little harder to imagine. chill pocketWebbThe inversion symmetry in the SSH model (equivalently, reflection symmetry or 180-degree rotation symmetry) is best understood by taking Fig. 1 and flattening it out as in Fig. 5 … chill playlist for spotifyWebbFeb 2024. Xi Wu. Panpan Fang. Fuxiang Li. Dynamical characterization of topological phases under quantum quench dynamics has been demonstrated as a powerful and efficient tool. Previous studies ... grace\u0027s soft touchWebb24 apr. 2024 · Contribute to yuralandau/Dynamic-Chern-Number-in-SSH-Model development by creating an account on GitHub. Skip to content Toggle navigation. Sign up Product Actions. Automate any workflow ... Li L, Chen S. Dynamical topological invariant after a quantum quench[J]. Physical Review B, American Physical Society, 2024, 97(6): … chill podcast music