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We explain the Fano peak (an asymmetric resonance peak) as an interference effect involving resonant states. We reveal that there are three types of Fano asymmetry according to their origins: the interference between a resonant state and an…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Keita Sasada , Naomichi Hatano , Gonzalo Ordonez

We describe the Fano asymmetry by expanding the transmission amplitude with respect to states with point spectra (discrete eigenstates), including not only bound states but also resonant states with complex eigenvalues. We first introduce a…

Mesoscale and Nanoscale Physics · Physics 2019-05-30 Naomichi Hatano , Gonzalo Ordonez

The electronic properties of a particular class of domain walls in gapped graphene are investigated. We show that they can support mid-gap states which are localized in the vicinity of the domain wall and propagate along its length. With a…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 G. W. Semenoff , V. Semenoff , Fei Zhou

The ground state and its structure for a rotating, harmonically trapped N-Boson system with a weak repulsive contact interaction are studied as the angular momentum L increases up to 3N. We show that the ground state is generally a…

Statistical Mechanics · Physics 2009-10-31 Xia-Ji Liu , Hui Hu , Lee Chang , Weiping Zhang , Shi-Qun Li , Yu-Zhu Wang

We describe the proximity effect in a short disordered metallic junction between three superconducting leads. Andreev bound states in the multi-terminal junction may cross the Fermi level. We reveal that for a quasi-continuous metallic…

Mesoscale and Nanoscale Physics · Physics 2015-11-13 C. Padurariu , T. Jonckheere , J. Rech , R. Mélin , D. Feinberg , T. Martin , Yu. V. Nazarov

We have observed the Fano-Kondo anti-resonance in a quantum wire with a side-coupled quantum dot. In a weak coupling regime, dips due to the Fano effect appeared. As the coupling strength increased, conductance in the regions between the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Masahiro Sato , Hisashi Aikawa , Kensuke Kobayashi , Shingo Katsumoto , Yasuhiro Iye

Macroscopically degenerate flat bands (FB) in periodic lattices host compact localized states which appear due to destructive interference and local symmetry. Interference provides a deep connection between the existence of flat band states…

Mesoscale and Nanoscale Physics · Physics 2014-03-24 Sergej Flach , Daniel Leykam , Joshua D. Bodyfelt , P. Matthies , Anton S. Desyatnikov

We propose and investigate a simple one-dimensional model for a single-channel quantum wire hosting electrons that interact repulsively and are subject to a significant spin-orbit interaction. We show that an external Zeeman magnetic field,…

Strongly Correlated Electrons · Physics 2020-10-29 Ren-Bo Wang , Akira Furusaki , Oleg A. Starykh

We have investigated ab initio the existence of localized states and resonances in abrupt GaAs/Si/GaAs (110)- and (100)-oriented heterostructures incorporating 1 or 2 monolayers (MLs) of Si, as well as in the fully developed Si/GaAs (110)…

Materials Science · Physics 2007-05-23 M. Di Ventra , C. Berthod , N. Binggeli

A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic potential. By carefully engineering such a potential, one can…

Disordered Systems and Neural Networks · Physics 2019-08-21 Akshay Krishna , Matteo Ippoliti , R. N. Bhatt

Destructive interference between electron wavefunctions on the two-dimensional (2D) kagome lattice induces an electronic flat band, which could host a variety of interesting many-body quantum states. Key to realize these proposals is to…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Caiyun Chen , Jiangchang Zheng , Ruopeng Yu , Soumya Sankar , Hoi Chun Po , Kam Tuen Law , Berthold Jäck

Ingap states are commonly observed in semiconductors and are often well characterized by a hydrogenic model within the effective mass approximation. However, when impurities are strong, they significantly perturb all momentum eigenstates,…

Mesoscale and Nanoscale Physics · Physics 2024-06-07 Raquel Queiroz , Roni Ilan , Zhida Song , B. Andrei Bernevig , Ady Stern

We report a spectrum of exotic frequency-locked states in a ring of phase oscillators with pure three-body interactions. For identical oscillators, the system hosts a vast multiplicity of stable quantized frequency-locked states without…

Pattern Formation and Solitons · Physics 2025-12-23 Jinfeng Liang , Shanshan Zhu , Yang Li , Qionglin Dai , Haihong Li , Junzhong Yang

We prove the existence of gapped quantum Hamiltonians whose ground states exhibit an infinite entanglement length, as opposed to their finite correlation length. Using the concept of entanglement swapping, the localizable entanglement is…

Quantum Physics · Physics 2007-05-23 F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

The quantum coherent coupling of completely different degrees of freedom is a challenging path towards creating new functionalities for quantum electronics. Usually the antagonistic coupling between spins of magnetic impurities and…

We demonstrate the existence of confined states in one- and two-dimensional (1D and 2D) systems of two linearly-coupled components, with the confining harmonic-oscillator (HO) potential acting upon one component, and an expulsive anti-HO…

Pattern Formation and Solitons · Physics 2022-04-13 Nir Hacker , Boris A. Malomed

Transport measurements are presented on a quantum ring that is tunnel-coupled to a quantum dot. When the dot is in the Coulomb blockade regime, but strongly coupled to the open ring, Fano line shapes are observed in the current through the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Fuhrer , P. Brusheim , T. Ihn , M. Sigrist , K. Ensslin , W. Wegscheider , M. Bichler

We show that finite size superconductors have a spectrum of states at extremely low energy, i.e. inside the superconducting gap. The presence of this {\it thin spectrum} is a generic feature and related to the fact that in a superconductor…

Superconductivity · Physics 2015-06-29 Jasper van Wezel , Jeroen van den Brink

The conductance of a quantum wire containing a single magnetic barrier is studied numerically by means of the recursive Greens function technique. For sufficiently strong and localized barriers, Fano - type reflection resonances are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hengyi Xu , T. Heinzel , M. Evaldsson , S. Ihnatsenka , I. V. Zozoulenko

Motivated by recent scanning tunneling microscopy/spectroscopy experiments on probing single vacancies in black phosphorus, we present a theory for Fano antiresonances induced by coupling between vacancy states and edge states of zigzag…

Mesoscale and Nanoscale Physics · Physics 2019-02-07 M. Amini , M. Soltani , M. Sharbafiun