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We present a theoretical study of the unielectronic energy spectra, electron localization, and optical absorption of triangular core-shell quantum rings. We show how these properties depend on geometric details of the triangle, such as side…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Anna Sitek , Gunnar Thorgilsson , Vidar Gudmundsson , Andrei Manolescu

For the 1D quantum East model with open boundaries, we show that in the limit $s \to -\infty$, the ground state is accurately captured by a simple spin-coherent product state. We further identify a low-entanglement excited eigenstate that…

Quantum Physics · Physics 2026-03-02 Adway Kumar Das , Achilleas Lazarides

The crystalline or liquid character of the downward cusp states in N-electron parabolic quantum dots (QD's) at high magnetic fields is investigated using conditional probability distributions obtained from exact diagonalization. These…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Constantine Yannouleas , Uzi Landman

The excitation spectrum of the 2-leg S=1/2 Heisenberg ladder is examined perturbatively. Using an optimally chosen continuous unitary transformation we expand the Hamiltonian and the Raman operator about the limit of isolated rungs leading…

Strongly Correlated Electrons · Physics 2009-11-07 Christian Knetter , Kai P. Schmidt , Götz S. Uhrig

The low-lying eigenstates of a system of two electrons confined within a two-dimensional quantum dot with a hard polygonal boundary are obtained by means of exact diagonalization. The transition from a weakly correlated charge distribution…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C E Creffield , Wolfgang Haeusler , J H Jefferson , Sarben Sarkar

The energy spectrum of a tight-binding Hamiltonian is studied for the two-dimensional quasiperiodic Rauzy tiling in a perpendicular magnetic field. This spectrum known as a Hofstadter butterfly displays a very rich pattern of bulk gaps that…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 J. -N Fuchs , J. Vidal

The behavior of the dc-component of the current along a quantum loop of tight-binding electrons threaded by a magnetic flux that varies linearly in time Phi_M(t)= Phi t is investigated. We analize the electron transport in different kinds…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Liliana Arrachea

We review recent results on many-body localization for two explicitly analyzable models of many-body quantum systems, the XY spin chain in transversal magnetic field as well as interacting systems of harmonic quantum oscillators. In both…

Mathematical Physics · Physics 2018-01-03 Robert Sims , Gunter Stolz

We consider a long-range interacting system of $N$ particles moving on a spherical surface under an attractive Heisenberg-like interaction of infinite range, and evolving under deterministic Hamilton dynamics. The system may also be viewed…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , David Mukamel

We compute the energy spectrum of the ground state of a 2D Dirac electron in the presence of a Coulomb potential and a constant magnetic field perpendicular to the plane where the the electron is confined. With the help of a mixed-basis…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Victor M. Villalba , Ramiro Pino

The evolution of the quantum wave packet describing an atom trapped in the surface-tip junction of the scanning tunneling microscope is investigated by using the time-dependent Schroedinger equation, and by a quasi-classical Hamiltonian…

Quantum Physics · Physics 2008-02-21 M. Grigorescu

In order to understand the orbital and spin magnetization of a confined electronic system we analyze these ground state properties in the transition from a quantum dot to a quantum ring of finite thickness. The Coulomb interaction between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gabriel Vasile , Vidar Gudmundsson , Andrei Manolescu

Quantum spin rings represent an intriguing platform for studying unconventional magnetic order and exotic quantum phases, and they are also promising materials for emerging quantum technologies. Conventional spin systems consist of a set of…

We study the current flow through semiconductor quantum rings. In high magnetic field the current is usually injected to the arm of the ring preferred by classical magnetic forces. However, for narrow magnetic field intervals that appear…

Mesoscale and Nanoscale Physics · Physics 2010-11-09 M. R. Poniedziałek , B. Szafran

Energy spectra, spin configurations, and entanglement characteristics of a system of four electrons in lateral double quantum dots are investigated using exact diagonalization (EXD), as a function of interdot separation, applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 Ying Li , Constantine Yannouleas , Uzi Landman

A persistent current qubit has two quantum states with opposite currents flowing in a superconducting loop. Their magnetic field couple to nuclear spins. The qubit state is not only perturbed by the spins but it also gets entangled with the…

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga

Modifications of spin-splitting dispersion relations and density of states for electrons in non-symmetric heterostructures under in-plane magnetic field are studied within the envelope function formalism. Spin-orbit interactions, caused by…

Materials Science · Physics 2009-11-11 A. Hernandez-Cabrera , P. Aceituno , F. T. Vasko

The low energy physics of interacting quantum systems is typically understood through the identification of the relevant quasiparticles or low energy excitations and their quantum numbers. We present a quantum information framework that…

Strongly Correlated Electrons · Physics 2020-07-10 Yizhi You , Elisabeth Wybo , Frank Pollmann , S. L. Sondhi

I propose that the phase of an electron's wave function changes by $\pi$ when the electron goes around a loop maintaining phase coherence. Equivalently, that the minimum orbital angular momentum of an electron in a ring is $\hbar/2$ rather…

Superconductivity · Physics 2014-11-21 J. E. Hirsch

We consider a multi-polaron model obtained by coupling the many-body Schr\"odinger equation for N interacting electrons with the energy functional of a mean-field crystal with a localized defect, obtaining a highly non linear many-body…

Mathematical Physics · Physics 2012-11-15 Mathieu Lewin , Nicolas Rougerie