Non-Hermitian bulk–boundary correspondence in quantum dynamics
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DOI: 10.1038/s41567-020-0836-6
Abstract: Bulk–boundary correspondence, a guiding principle in topological matter, relates robust edge states to bulk topological invariants. Its validity, however, has so far been established only in closed systems. Recent theoretical studies indicate that this principle… read more here.
Keywords: bulk boundary; non hermitian; hermitian bulk; bulk ... See more keywords
Characterizing bulk-boundary correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
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DOI: 10.1103/physrevb.105.075126
Abstract: Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, we use edge entanglement entropy to characterize the topological properties of non-Hermitian Su-Schrieffer-Heeger Hubbard model.… read more here.
Keywords: entanglement entropy; bulk boundary; edge entanglement; non hermitian ... See more keywords
Fragile topological phase on the triangular kagome lattice and its bulk-boundary correspondence
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DOI: 10.1103/physrevb.107.155129
Abstract: We predict and examine various topological states on a two-dimensional (2D) triangular kagome lattice (TKL) using the tight-binding (TB) models and theory of topological quantum chemistry (TQC). Firstly, on the basis of TQC, we diagnose… read more here.
Keywords: topology; triangular kagome; kagome lattice; topological phase ... See more keywords
Bulk boundary correspondence and the existence of Majorana bound states on the edges of 2D topological superconductors
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DOI: 10.1103/physrevb.96.184516
Abstract: The bulk-boundary correspondence establishes a connection between the bulk topological index of an insulator or superconductor, and the number of topologically protected edge bands or states. For topological superconductors in two dimensions, the first Chern… read more here.
Keywords: bound states; bulk boundary; topological superconductors; number ... See more keywords
A generalization of Bloch's theorem for arbitrary boundary conditions: Theory
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DOI: 10.1103/physrevb.96.195133
Abstract: We present a generalization of Bloch's theorem to finite-range lattice systems of independent fermions, in which translation symmetry is broken only by arbitrary boundary conditions, by providing exact, analytic expressions for all energy eigenvalues and… read more here.
Keywords: bulk boundary; boundary conditions; bloch theorem; arbitrary boundary ... See more keywords