Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems   Non-Hermitian systems exhibit striking exceptions from the paradigmatic
bulk-boundary correspondence, including the failure of bulk Bloch band
invariants in predicting boundary states and the (dis)appearance of boundary
states at parameter values far from those corresponding to gap closings in
periodic systems without boundaries. Here, we provide a comprehensive framework
to unravel this disparity based on the notion of biorthogonal quantum
mechanics: While the properties of the left and right eigenstates corresponding
to boundary modes are individually decoupled from the bulk physics in
non-Hermitian systems, their combined biorthogonal density penetrates the bulk
precisely when phase transitions occur. This leads to generalized bulk-boundary
correspondence and a quantized biorthogonal polarization that is formulated
directly in systems with open boundaries. We illustrate our general insights by
deriving the phase diagram for several microscopic open boundary models,
including exactly solvable non-Hermitian extensions of the Su-Schrieffer-Heeger
model and Chern insulators.

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The categories of this paper are: adap-org
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn