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We characterize the role of the spin-orbit coupling between electrons and the confining potential of the edge in nonequilibrium 2D homogeneous electronic gas. We derive a simple analytical result for the magnitude of the current induced…

Mesoscale and Nanoscale Physics · Physics 2011-03-18 Peter Bokes , Frantisek Horvath

We review recent theoretical and experimental advances toward understanding the effects of nuclear spins in confined nanostructures. These systems, which include quantum dots, defect centers, and molecular magnets, are particularly…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 W. A. Coish , J. Baugh

The interplay of optical driving and hyperfine interaction between an electron confined in a quantum dot and its surrounding nuclear spin environment produces a range of interesting physics such as mode-locking. In this work, we go beyond…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Arian Vezvaee , Gargee Sharma , Sophia E. Economou , Edwin Barnes

We have studied theoretically the electron spin relaxation in semiconductor quantum dots via interaction with nuclear spins. The relaxation is shown to be determined by three processes: (i) -- the precession of the electron spin in the…

Condensed Matter · Physics 2009-11-07 I. A. Merkulov , Al. L. Efros , M. Rosen

We propose a simple analytic representation of the correlation energy for the two-dimensional electron gas, as a function of the density and the spin polarization. This new parametrization includes most of the known high- and low- density…

Strongly Correlated Electrons · Physics 2007-05-23 Paola Gori-Giorgi , Claudio Attaccalite , Saverio Moroni , Giovanni B. Bachelet

We present measurements on nuclear spin relaxation probed by a single quantum dot in a high-mobility electron gas. Current passing through the dot leads to a spin transfer from the electronic to the nuclear spin system. Applying electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. K. Huettel , J. Weber , A. W. Holleitner , D. Weinmann , K. Eberl , R. H. Blick

Understanding fully the dynamics of coupled electron-nuclear spin systems, which are important for the development of long-lived qubits based on solid-state systems, remains a challenge. We show that in a singly charged semiconductor…

Mesoscale and Nanoscale Physics · Physics 2010-07-26 Wenxian Zhang , Jian-Liang Hu , Jun Zhuang , J. Q. You , Ren-Bao Liu

We theoretically study the nuclear spin dynamics driven by electron transport and hyperfine interaction in an electrically-defined double quantum dot (DQD) in the Pauli-blockade regime. We derive a master-equation-based framework and show…

Mesoscale and Nanoscale Physics · Physics 2014-06-03 Martin J. A. Schuetz , Eric M. Kessler , Lieven M. K. Vandersypen , J. Ignacio Cirac , Geza Giedke

The ground state energy of the two--dimensional uniform electron gas has been calculated with fixed--node diffusion Monte Carlo, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We…

Strongly Correlated Electrons · Physics 2009-11-07 Claudio Attaccalite , Saverio Moroni , Paola Gori-Giorgi , Giovanni B. Bachelet

The main source of decoherence for an electron spin confined to a quantum dot is the hyperfine interaction with nuclear spins. To analyze this process theoretically we diagonalize the central spin Hamiltonian in the high magnetic B-field…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Oleksandr Tsyplyatyev , Daniel Loss

Due to the spin-orbital coupling in a semiconductor quantum dot, a freely precessing electron spin produces a time-dependent charge density. This creates a sizeable electric field outside the dot, leading to promising applications in…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , E. I. Rashba

We investigate quantum dynamics in the electron-nuclei coupled spin system in quantum dots and clarify the fundamental features of quantum correlation induced via successive electron spin measurements. This quantum correlation leads to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ozgur Cakir , Toshihide Takagahara

The main obstacle to coherent control of two-level quantum systems is their coupling to an uncontrolled environment. For electron spins in III-V quantum dots, the random environment is mostly given by the nuclear spins in the quantum dot…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 I. T. Vink , K. C. Nowack , F. H. L. Koppens , J. Danon , Yu. V. Nazarov , L. M. K. Vandersypen

We analytically solve the {\it Non-Markovian} single electron spin dynamics due to hyperfine interaction with surrounding nuclei in a quantum dot. We use the equation-of-motion method assisted with a large field expansion, and find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Changxue Deng , Xuedong Hu

We present a quantum mechanical theory of optically induced dynamic nuclear polarization applicable to quantum dots and other interacting spin systems. The exact steady state of the optically driven coupled electron-nuclear system is…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 Thomas Nutz , Edwin Barnes , Sophia E. Economou

We analyze electron spin relaxation in electronic transport through coherently coupled double quantum dots in the spin blockade regime. In particular, we focus on hyperfine interaction as the spin relaxation mechanism. We pay special…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Carlos López-Monís , Jesús Iñarrea , Gloria Platero

The possibility of a novel type of semiconductor quantum dots obtained by spatially modulating the spin-orbit coupling intensity in III-V heterostructures is discussed. Using the effective mass model we predict confined one-electron states…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Valin-Rodriguez , A. Puente , L. Serra

The spin of a confined electron, when oriented originally in some direction, will lose memory of that orientation after some time. Physical mechanisms leading to this relaxation of spin memory typically involve either coupling of the…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 A. C. Johnson , J. R. Petta , J. M. Taylor , A. Yacoby , M. D. Lukin , C. M. Marcus , M. P. Hanson , A. C. Gossard

The concept of nuclear spin temperature has been a cornerstone of the theory of dynamic nuclear spin polarization by electrons in various semiconductor structures for decades. Still, it is not always applicable to strongly localized…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 D. S. Smirnov , K. V. Kavokin

Silicon-based qubits are often made by trapping individual electrons in quantum dots defined by electric gates. Quantum information can then be stored using the spin states of the electrons. However, the nuclei of the surrounding atoms also…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Xinxin Cai , Habitamu Y. Walelign , John M. Nichol