Two-dimensional Non-Hermitian Delocalization Transition as a Probe for the Localization Length

Abstract

When one applies a type of non-Hermitian effect, constant imaginary vector potential, to disordered systems, delocalization is induced even in two or lower dimension. By using the non-Hermitian induced transition as a probe, We propose a new procedure of estimating localization in arbitrary-dimensional systems. By examining numerically the two-dimensional non-Hermitian tight-biding model with onsite disorder, it is shown that the failure of absorbing the non-Hermitian effect, namely the breakdown of the imaginary gauge transformation, characterize the inverse localization length near the band center.

4 pages, 4 figs

Cited by in corpus (7)

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• Non-Hermitian bidirectional robust transport
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• Controllable unidirectional transport and photon storage in an one-dimensional lattice with complex hopping rates
• Identities and exponential bounds for transfer matrices
• Eigenvalues bifurcating from the continuum in two-dimensional potentials generating non-Hermitian gauge fields
• Superexponential amplification, power blowup, and solitons sustained by non-Hermitian gauge potentials