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Using an energy-independent non-Hermitian Hamiltonian approach to open systems, we fully describe transport through a sequence of potential barriers as external barriers are varied. Analyzing the complex eigenvalues of the non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 G. L. Celardo , L. Kaplan

In this work, we study the effect of $\mathcal{PT}$-symmetric complex potentials on the transport properties of one non-Hermitian system, which is formed by the coupling between a triple-quantum-dot molecule and two semi-infinite leads. As…

Quantum Physics · Physics 2017-07-05 Lian-Lian Zhang , Wei-Jiang Gong

A multi-branch quantum circuit is considered from the viewpoint of coherent electron or wave transport. Starting with the closed system, we give analytical conditions for the appearance of two isolated localized states out of the energy…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 A. Ziletti , F. Borgonovi , G. L. Celardo , F. M. Izrailev , L. Kaplan , V. G. Zelevinsky

A multi-branch quantum circuit is considered from the viewpoint of coherent electron or wave transport. Starting with the closed system, we give analytical conditions for the appearance of two isolated localized states out of the energy…

Statistical Mechanics · Physics 2011-09-06 Angelo Ziletti

A one-dimensional, two-channel quantum wire is studied in the effective non-Hermitian Hamiltonian framework. Analytical expressions are derived for the band structure of the isolated wire. Quantum states and transport properties of the wire…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Amin Tayebi , Vladimir Zelevinsky

We develop a manifest non-Hermitian approach of spectral and transport properties of two- dimensional mesoscopic systems in strong magnetic field. The finite system to which several ter- minals are attached constitutes an open system that…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 B. Ostahie , M. Nita , A. Aldea

We investigate the validity of the non-Hermitian Hamiltonian approach in describing quantum transport in disordered tight-binding networks connected to external environments, acting as sinks. Usually, non-Hermitian terms are added, on a…

Mesoscale and Nanoscale Physics · Physics 2015-04-13 Giulio G. Giusteri , Francesco Mattiotti , G. Luca Celardo

A microscopic theory of the transport properties of quantum point contacts giving a unified description of the normal conductor- superconductor (N-S) and superconductor-superconductor (S-S) cases is presented. It is based on a model…

Condensed Matter · Physics 2009-10-28 J. C. Cuevas , A. Martin-Rodero , A. Levy Yeyati

Unidirectional and robust transport is generally observed at the edge of two- or three-dimensional quantum Hall and topological insulator systems. A hallmark of these systems is topological protection, i.e. the existence of propagative edge…

Mesoscale and Nanoscale Physics · Physics 2016-01-15 Stefano Longhi , Davide Gatti , Giuseppe Della Valle

The non-Hermitian Hamiltonian describes the effective dynamics of a system coupled to a continuously measured bath, and can exhibit anti-unitary symmetries that give rise to exceptional points and broken phases with complex eigenvalues,…

Quantum Physics · Physics 2025-12-23 Sejal Ahuja , Keshav Das Agarwal , Aditi Sen De

We investigate transport properties of different realizations of one-dimensional quantum wires coupled to a number of external electrodes in terms of the full counting statistics. Focusing on the set-ups in which edge states of Majorana…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 A. Komnik

We investigate the nonstationary electronic transport in noninteracting nanostructures driven by a finite bias and time-dependent signals applied at their contacts to the leads. The systems are modelled by a tight-binding Hamiltonian and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Valeriu Moldoveanu , Vidar Gudmundsson , Andrei Manolescu

We study the transport properties of a three dimensional atomic-scale contact in the ballistic regime. The results for the conductance and related transmission eigenvalues show how the properties of the ideal semi-infinite leads (i.e.…

Disordered Systems and Neural Networks · Physics 2009-10-31 Branislav K. Nikolic , Philip B. Allen

Transport through semiconductor nanostructures is a quantum-coherent process. This paper focuses on systems in which the electron's dynamics is ballistic and the transport is dominated by the scattering from structure boundaries. Opposite…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. R. Racec , P. N. Racec , U. Wulf

Open quantum systems described by a non-Hermitian Hamiltonian exhibit rich dynamics due to the topology of their complex energy spectrum. By encircling an exceptional point degeneracy, this topology allows for topological state transport,…

Quantum Physics · Physics 2026-02-25 Serra Erdamar , Maryam Abbasi , Weijian Chen , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

We study the transport and spectral properties of a non-Hermitian one-dimensional disordered lattice, the diagonal matrix elements of which are random complex variables taking both positive (loss) and negative (gain) imaginary values: Their…

Disordered Systems and Neural Networks · Physics 2021-03-16 A. F. Tzortzakakis , K. G. Makris , A. Szameit , E. N. Economou

The accurate simulation of real--time quantum transport is notoriously difficult, requiring a consistent scheme to treat incoming and outgoing fluxes at the boundary of an open system. We demonstrate a method to converge non--equilibrium…

Mesoscale and Nanoscale Physics · Physics 2015-10-02 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

The role of noise in the transport properties of quantum excitations is a topic of great importance in many fields, from organic semiconductors for technological applications to light-harvesting complexes in photosynthesis. In this paper we…

Quantum Physics · Physics 2016-11-22 Stefano Iubini , Octavi Boada , Yasser Omar , Francesco Piazza

Noncommuting conserved quantities have recently launched a subfield of quantum thermodynamics. In conventional thermodynamics, a system of interest and an environment exchange quantities -- energy, particles, electric charge, etc. -- that…

Quantum Physics · Physics 2022-01-31 Nicole Yunger Halpern , Shayan Majidy

To study the ballistic transport of charge carriers in nano-structured quantum devices, a highly efficient numerical technique is developed, which provides continuous transmission spectra for arbitrarily complex potential geometries in two…

Quantum Physics · Physics 2007-05-23 Kia Manouchehri , J. B. Wang
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