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We use Density Functional Theory to study interacting spinless electrons on a one-dimensional quantum ring in the density range where the system undergoes Wigner crystallization. The Wigner transition leads to a drastic ``collective''…

Mesoscale and Nanoscale Physics · Physics 2007-11-20 Marc Siegmund , Markus Hofmann , Oleg Pankratov

The electronic states of a mesoscopic ring are assessed in the presence of Rashba Spin Orbit coupling and a $U(1)$ gauge field. Spin symmetric coupling to an ideal lead is implemented following B\"uttiker's voltage probe. The exact density…

Mesoscale and Nanoscale Physics · Physics 2014-09-23 Michael Ellner , Nelson Bolívar , Bertrand Berche , Ernesto Medina

If the states of spins in solids can be created, manipulated, and measured at the single-quantum level, an entirely new form of information processing, quantum computing and quantum communication, will be possible. We review our proposed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Daniel Loss , Guido Burkard , Eugene V. Sukhorukov

Employing instanton technique we evaluate equilibrium persistent current (PC) produced by a quantum particle moving in a periodic potential on a ring and interacting with a dissipative environment formed by diffusive electron gas. The model…

Mesoscale and Nanoscale Physics · Physics 2009-10-13 Andrew G. Semenov , Andrei D. Zaikin

We investigate theoretically electron spin states in one dimensional (1D) and two dimensional (2D) hard-wall mesoscopic rings in the presence of both the Rashba spin-orbit interaction (RSOI) and the Dresselhaus spin-orbit interaction (DSOI)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. S. Sheng , Kai Chang

Relativistic electronic properties of a nanospring under a static magnetic field are theoretically investigated in the present study. The wave equation accounting for the spin-orbit interaction is derived for the nanospring as a special…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Taichi Kosugi

We study the energy level crossing behavior in two-dimensional quantum well with the Rashba and Dresselhaus spin-orbit couplings (SOCs). By mapping the SOC Hamiltonian onto an anisotropic Rabi model, we obtain the approximate ground state…

Quantum Physics · Physics 2019-10-21 Z. H. Wang , Q. Zheng , Xiaoguang Wang , Y. Li

Using an exact diagonalization technique within a generalized Mott-Hubbard Hamiltonian, we predict the existence of a ground state persistent current in coherent two-dimensional semiconductor quantum dot arrays pierced by an external…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 R. Kotlyar , S. Das Sarma

Stimulated generally by recent interest in the novel spin Hall effect, the nonrelativistic quantum mechanical conserved currents, taken into account of spin-orbit coupling, are rigorously formulated based on the symmetries of system and…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Yong Wang , Ke Xia , Zhao-Bin Su , Zhongshui Ma

For every conserved quantity written as a sum of local terms, there exists a corresponding current operator that satisfies the continuity equation. The expectation values of current operators at equilibrium define the persistent currents…

Strongly Correlated Electrons · Physics 2022-10-25 Hirokazu Kobayashi , Haruki Watanabe

We calculate the persistent spin current inside a quantum ring as a function of the strength of the Rashba or Dresselhaus spin-orbit interaction. We provide analytical results for the spin current of a one-dimensional (1D) ring of…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Thorsten Arnold , Chi-Shung Tang , Andrei Manolescu , Vidar Gudmundsson

In an open quantum system having a channel in the form of loop geometry, the current inside the channel, namely circular current, and overall junction current, namely transport current, can be different. A quantum ring has doubly degenerate…

Mesoscale and Nanoscale Physics · Physics 2023-07-07 Moumita Patra

Spin states and persistent currents are investigated theoretically in a mesoscopic ring with an embedded magnetic ion under a uniform magnetic field including the spin-orbit interactions. The magnetic impurity acts as a spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. S. Sheng , Kai Chang

We propose an all-electrically controlled nanodevice - a gated semiconductor nanowire - capable of generating a coherent state of a single electron trapped in a harmonic oscillator or superposition of such coherent states - the…

Quantum Physics · Physics 2016-10-12 J. Pawłowski , P. Szumniak , S. Bednarek

We investigate persistent charge and spin currents in a magnetic quantum ring threaded by an Aharonov-Bohm flux, in the presence of a side-coupled one-dimensional non-magnetic chain. The neighboring magnetic moments in the ring are arranged…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Sourav Karmakar , Suparna Sarkar , Santanu K. Maiti

We examine electronic transport in a spin-blockaded double quantum dot. We show that by tuning the strength of the spin-orbit interaction the current flowing through the double dot exhibits a dip at zero magnetic field or a peak at a…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 G. Giavaras , Neill Lambert , Franco Nori

We investigate the persistent spin currents in one- and two-dimensional electron systems with spin-orbit interaction in thermodynamics equilibrium at absolute zero temperature. The persistent spin current is the intrinsic one which is…

Mesoscale and Nanoscale Physics · Physics 2008-03-18 Xiang Zhou , Cheng-Zheng Hu , Zhenyu Zhang , Ling Miao , Xia Wang

We study the model of a noninteracting spinless electron gas confined to the two-dimensional localized surface of a cone in the presence of external magnetic fields. The localized region is characterized by an annular radial potential. We…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Luís Fernando C. Pereira , Fabiano M. Andrade , Cleverson Filgueiras , Edilberto O. Silva

Electron transport in a new low-dimensional structure - the nuclear spin polarization induced quantum wire (NSPI QW) is theoretically studied. In the proposed system the local nuclear spin polarization creates the effective hyperfine field…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu. V. Pershin , S. N. Shevchenko , I. D. Vagner , P. Wyder

The persistent current in two vertically coupled quantum rings containing few electrons is studied. We find that the Coulomb interaction between the rings in the absence of tunneling affects the persistent current in each ring and the…

Mesoscale and Nanoscale Physics · Physics 2008-11-30 L. K. Castelano , G. -Q. Hai , B. Partoens , F. M. Peeters