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The environmental influence is inevitable but often ignored in the study of electronic transport properties of small-scale systems. Such an environment-mediated interaction can generally be described by a parity-time symmetric non-Hermitian…

介观与纳米尺度物理 · 物理学 2022-07-08 Sudin Ganguly , Souvik Roy , Santanu K. Maiti

Persistent currents circulate continuously without requiring external power sources. Here, we extend their theory to include dissipation within the framework of non-Hermitian quantum Hamiltonians. Using Green's function formalism, we…

量子物理 · 物理学 2024-08-27 Pei-Xin Shen , Zhide Lu , Jose L. Lado , Mircea Trif

Non-Hermitian systems have garnered significant attention due to the emergence of novel topology of complex spectra and skin modes. However, investigating transport phenomena in such systems faces obstacles stemming from the non-unitary…

介观与纳米尺度物理 · 物理学 2023-11-16 Qing Yan , Hailong Li , Qing-Feng Sun , X. C. Xie

We investigate a non-Hermitian Aharonov-Bohm (AB) ring system with a quantum dot (QD) embedded in each of its two arms. The energy levels of the QDs are complex in order to take into account the physical gain or loss of the ring system…

量子物理 · 物理学 2017-02-14 Qi-Bo Zeng , Shu Chen , Rong Lü

We investigate the charge and spin transport in a non-Hermitian ring of electrons subject to an external Zeeman field. By introducing non-Hermiticity through anti-Hermitian hopping in the nearest neighbour bonds, we demonstrate that…

介观与纳米尺度物理 · 物理学 2026-02-13 Soumya Ranjan Padhi , Souvik Roy , Tapan Mishra

Using an approach to open quantum systems based on the effective non-Hermitian Hamiltonian, we fully describe transport properties for a paradigmatic model of a coherent quantum transmitter: a finite sequence of square potential barriers.…

介观与纳米尺度物理 · 物理学 2014-03-31 G. L. Celardo , A. M. Smith , S. Sorathia , V. G. Zelevinsky , R. A. Sen'kov , L. Kaplan

Quantum devices characterized by non-Hermitian topology are predicted to show highly robust and potentially useful properties, but realizing them has remained a daunting experimental task. This is because non-Hermiticity is often associated…

Electron transport properties are investigated in an array of mesoscopic rings, where each ring is threaded by a magnetic flux $\phi$. The array is attached to two semi-infinite one-dimensional metallic electrodes, namely, source and drain,…

介观与纳米尺度物理 · 物理学 2010-04-28 Paramita Dutta , Santanu K. Maiti , S. N. Karmakar

Magneto-transport properties in closed and open loop structures are carefully reviewed within a tight-binding formalism. A novel mesoscopic phenomenon where a non-vanishing current is observed in a conducting loop upon the application of an…

介观与纳米尺度物理 · 物理学 2015-08-13 Paramita Dutta , Santanu K. Maiti

Non-Hermitian dynamics in quantum systems preserves the rank of the state density operator. Using this insight, we develop a geometric framework to describe its time evolution. In particular, we identify mutually orthogonal coherent and…

量子物理 · 物理学 2025-05-06 Niklas Hörnedal , Oskar A. Prośniak , Adolfo del Campo , Aurélia Chenu

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…

介观与纳米尺度物理 · 物理学 2016-01-15 Stefano Longhi , Davide Gatti , Giuseppe Della Valle

We study the transport properties of non-Hermitian magnetic Josephson junctions, considering a superconductor-quantum dot-superconductor device coupled to a ferromagnetic metallic reservoir in the presence of an external magnetic field. We…

The electronic transport of a noninteracting quantum ring side-coupled to a quantum wire is studied via a single-band tunneling tight-binding Hamiltonian. We found that the system develops an oscillating band with antiresonances and…

介观与纳米尺度物理 · 物理学 2009-11-10 P. A. Orellana , M. L. Ladron de Guevara , M. Pacheco , A. Latge

We have studied the Aharonov-Bohm flux-induced magnetic response of a disordered non-Hermitian ring. The disorder is introduced through an on-site quasiperiodic potential described by the Aubry-Andr\'{e}-Harper (AAH) model, incorporating a…

介观与纳米尺度物理 · 物理学 2025-07-16 Suparna Sarkar , Soumya Satpathi , Swapan K. Pati

Non-reciprocal hopping induces a synthetic magnetic flux which leads to the non-Hermitian Aharonov-Bohm effect. Since non-Hermitian Hamiltonians possess both real and imaginary eigenvalues, this effect allows the observation of real and…

介观与纳米尺度物理 · 物理学 2025-04-30 Sudin Ganguly , Santanu K. Maiti

A review is given on the foundations and applications of non-Hermitian classical and quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra, including Jordan normal form, biorthogonality, exceptional…

介观与纳米尺度物理 · 物理学 2021-04-28 Yuto Ashida , Zongping Gong , Masahito Ueda

We investigate persistent charge and spin currents in a ferromagnetic Hatano-Nelson ring with anti-Hermitian intradimer hopping, where non-reciprocal hopping generates a synthetic magnetic flux and drives a non-Hermitian Aharonov-Bohm…

介观与纳米尺度物理 · 物理学 2026-02-06 Sourav Karmakar , Sudin Ganguly , Santanu K. Maiti

The conductance at the band edges of one-dimensional fermionic wires, with $N$ sites, has been shown to have subdiffusive $(1/N^2)$ behavior. We investigate this issue in two-dimensional fermionic wires described by a hopping model on an…

介观与纳米尺度物理 · 物理学 2023-12-05 Junaid Majeed Bhat

We study theoretically the transmission properties of serially connected mesoscopic rings threaded by a magnetic flux. Within a tight-binding formalism we derive exact analytical results for the transmission through periodic and…

介观与纳米尺度物理 · 物理学 2009-11-10 Arunava Chakrabarti , Rudolf A. Roemer , Michael Schreiber

The transport and gain properties of quantum cascade (QC) structures are investigated using a nonequilibrium Green's function (NGF) theory which includes quantum effects beyond a Boltzmann transport description. In the NGF theory, we…

介观与纳米尺度物理 · 物理学 2009-11-07 S. -C. Lee , A. Wacker
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