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Spin transport in non-Hermitian quantum systems.

Leonardo S Lima¹

¹Department of Physics, Federal Center for Technological Education of Minas Gerais, 30510-000, Belo Horizonte, MG, Brazil. lslima@cefetmg.br.

Scientific Reports

|July 10, 2023

Summary

This study investigates quantum transport in non-Hermitian systems, finding that non-Hermitian parameters have minimal impact on spin conductivity. The opening of spectral gaps significantly influences longitudinal conductivity in models like the Ising chain.

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Area of Science:

Quantum physics
Condensed matter physics
Transport phenomena

Background:

Non-Hermitian quantum systems exhibit unique transport properties.
Flat bands in systems like the Lieb lattice and integrability in the Ising chain offer analytical insights into quantum transport.
Understanding transport in these systems is crucial for developing novel quantum technologies.

Purpose of the Study:

To analyze quantum transport in non-Hermitian systems, specifically the Lieb lattice and Ising chain.
To determine the influence of non-Hermitian parameters on spin conductivity.
To investigate the effect of spectral gap opening on longitudinal conductivity.

Main Methods:

Analytical calculations of spin conductivity.
Examination of transport coefficients as a function of non-Hermitian parameters.
Spectral analysis to understand the impact of energy gaps.

Main Results:

Non-Hermitian parameters show minimal influence on spin conductivity across analyzed models.
Transport coefficients are largely unaffected by variations in non-Hermitian parameters.
The opening of a spectral gap demonstrably impacts longitudinal conductivity.

Conclusions:

Non-Hermitian parameters play a minor role in spin conductivity for the studied models.
Spectral gap engineering is a key factor in controlling longitudinal conductivity in non-Hermitian systems.
The findings provide insights into the fundamental mechanisms governing quantum transport in non-Hermitian environments.