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Spin relaxation in a quantum Hall ferromagnet, where filling is $\nu=1, 1/3, 1/5,...$, can be considered in terms of spin wave annihilation/creation processes. Hyperfine coupling with the nuclei of the GaAs matrix provides spin…

Strongly Correlated Electrons · Physics 2013-04-30 S. Dickmann , T. Ziman

We have developed an ensemble density functional theory which includes spin degrees of freedom for nonuniform quantum Hall systems. We have applied this theory using a local-spin-density approximation to study the edge reconstruction of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. I. Lubin , O. Heinonen , M. D. Johnson

A coherent superposition of many nuclear spin states can be prepared and manipulated via the hyperfine interaction with the electronic spins by varying the Landau level filling factor through the gate voltage in appropriately designed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Maniv , Yu. A. Bychkov , I. D. Vagner

Electrons in a two-dimensional semiconducting heterostructure interact with nuclear spins via the hyperfine interaction. Using a a Kondo lattice formulation of the electron-nuclear spin interaction, we show that the nuclear spin system…

Strongly Correlated Electrons · Physics 2015-06-25 Pascal Simon , Daniel Loss

We consider the two-dimensional electron gas confined laterally to a narrow channel by a harmonic potential. As the Zeeman splitting matches the intersubband separation the nonlocal spin polarization develops a minimum as reported by Frolov…

Mesoscale and Nanoscale Physics · Physics 2014-10-23 A. Iqbal , M. Khodas

We consider a spin-orbit coupled particle confined in a quantum dot in a bath of impurity spins. We investigate the consequences of spin-orbit coupling on the interactions that the particle mediates in the spin bath. We show that in the…

Mesoscale and Nanoscale Physics · Physics 2014-09-02 Peter Stano , Jaroslav Fabian , Igor Žutić

We investigate the influence of an external magnetic field on spin phase relaxation of single electrons in semiconductor quantum dots induced by the hyperfine interaction. The basic decay mechanism is attributed to the dispersion of local…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. G. Semenov , K. W. Kim

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

We review and summarize recent theoretical and experimental work on electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with surrounding nuclear spins. This topic is of particular interest with…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 John Schliemann , Alexander Khaetskii , Daniel Loss

The central spin decoherence problem has been researched for over 50 years in the context of both nuclear magnetic resonance and electron spin resonance. Until recently, theoretical models have employed phenomenological stochastic…

Mesoscale and Nanoscale Physics · Physics 2012-08-03 Wayne M. Witzel , Malcolm S. Carroll , Lukasz Cywinski , S. Das Sarma

We theoretically investigate the spin dynamics of a heavy hole confined to an unstrained III-V semiconductor quantum dot and interacting with a narrowed nuclear-spin bath. We show that band hybridization leads to an exponential decay of…

Mesoscale and Nanoscale Physics · Physics 2010-12-27 Jan Fischer , Daniel Loss

The dominant source of decoherence for an electron spin in a quantum dot is the hyperfine interaction with the surrounding bath of nuclear spins. The decoherence process may be slowed down by subjecting the electron spin to suitable…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Wenxian Zhang , V. V. Dobrovitski , Lea F. Santos , Lorenza Viola , B. N. Harmon

Molecular spin qubits with long spin coherence time as well as non-invasive operation methods on such qubits are in high demand. It was shown that both molecular electronic and nuclear spin levels can be used as qubits. In solid state…

Materials Science · Physics 2020-10-28 Robert L. Smith , Aleksander L. Wysocki , Kyungwha Park

We investigate the performance of dynamical decoupling methods at suppressing electron spin decoherence from a low-temperature nuclear spin reservoir in a quantum dot. The controlled dynamics is studied through exact numerical simulation,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Wenxian Zhang , V. V. Dobrovitski , Lea F. Santos , Lorenza Viola , B. N. Harmon

The time evolution of spin states of two electrons interacting with a nuclear spin bath in a quantum dot system is studied. The hyperfine interaction between the electrons and the nuclear spins is modeled by an isotropic Heisenberg…

Quantum Physics · Physics 2013-07-09 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

In a quantum Hall ferromagnet, the spin polarization of the two-dimensional electron system can be dynamically transferred to nuclear spins in its vicinity through the hyperfine interaction. The resulting nuclear field typically acts back…

The time-dependent Schrodinger equation of a many particle spin system consisting of an electron in a quantum dot interacting with the spins of the nuclei (N) in the dot due to hyperfine interaction is solved exactly for a given arbitrary…

Quantum Physics · Physics 2007-05-23 A. K. Rajagopal

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

A theory of electron spin relaxation in semiconducting carbon nanotubes is developed based on the hyperfine interaction with disordered nuclei spins I=1/2 of $^{13}$C isotopes. It is shown that strong radial confinement of electrons…

Materials Science · Physics 2009-11-11 Y. G. Semenov , K. W. Kim , G. J. Iafrate

The modulation and engineering of the free-electron wave function bring new ingredients to the electron-matter interaction. We study the dynamics of a free-electron passing by a two-level system fully quantum mechanically and emphasize the…

Quantum Physics · Physics 2021-11-23 Zhexin Zhao , Xiao-Qi Sun , Shanhui Fan