Low Temperature Physics: 46, 869 (2020); https://doi.org/10.1063/10.0001556
Fizika Nizkikh Temperatur: Volume 46, Number 8 (August 2020), p. 1028-1032    ( to contents , go back )

On the theory of systems with substitutionalnon-Hermitian disorder

Y.V. Skrypnyk1 and V.M. Loktev1,2

1Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine Kyiv 03143, Ukraine
E-mail: yuriy.v.skrypnyk@gmail.com

2National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”Kyiv 03056, Ukraine
pos Анотація:

Received May 12, 2020, published online June 22, 2020

Abstract

A novel family of disordered systems is proposed. This family belongs to the class of systems containing random substitutional non-Hermitian impurities. We limit our consideration to a rather simple case when the pres-ence of substitutional point defects results in the model Hamiltonian featuring a diagonal disorder. In contrast to known models of non-Hermitian impurities, the nonzero density of states for each isolated from the host impurity is restricted to a continuous band of finite width.A method to construct corresponding impurity Hamiltonians is provided.

Key words: non-Hermitian impurity, locator, local density of states, disorder.

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