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Non-Hermitian Hamiltonians and Quantum Transport in Multi-Terminal Conductors
Nikolay M Shubin1,2, Alexander A Gorbatsevich1,2, Gennadiy Ya Krasnikov2
1P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow 119991, Russia.
Entropy (Basel, Switzerland)
|December 8, 2020
Summary
We developed a new method to analyze electron transport in multi-terminal quantum systems. This approach simplifies calculating transmission probabilities and designing novel electronic devices.
Area of Science:
- Condensed Matter Physics
- Quantum Transport
- Molecular Electronics
Background:
- Understanding electron transport in complex quantum systems is crucial for developing advanced electronic devices.
- Existing formalisms can be cumbersome for arbitrary multi-terminal structures.
Purpose of the Study:
- To derive a general and compact expression for lead-to-lead transmission coefficients in multi-terminal systems.
- To establish conditions for achieving zero and unity transmissions.
- To compare transport properties of three-terminal versus two-terminal systems.
Main Methods:
- Utilized the non-equilibrium Green's function formalism within a tight-binding approximation.
- Incorporated non-Hermitian Hamiltonians to describe coherent tunneling.
- Analyzed transmission coefficients in various multi-terminal configurations.
Main Results:
- Derived a general expression for transmission coefficients applicable to arbitrary multi-terminal systems.
- Identified robust conditions for zero and unity transmissions, even with additional electrodes.
- Demonstrated that transmission at bound states in the continuum remains unchanged upon third electrode insertion.
Conclusions:
- The developed formalism provides a powerful tool for analyzing quantum transport in complex systems.
- Non-Hermitian Hamiltonians are essential for accurately describing coherent tunneling.
- Insights gained are valuable for the quantum design of molecular electronic devices, such as quantum interference transistors.
Keywords:
non-Hermitian Hamiltoniansopen quantum systemsquantum conductorquantum interferenceresonancesMore Related Videos
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