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We consider the issue of the appropriate underlying wavefunction describing the enigmatic 5/2 fractional quantum Hall effect (FQHE), the only even denominator FQHE unambiguously observed in a single layer two dimensional (2D) electron…

Mesoscale and Nanoscale Physics · Physics 2014-11-21 S. Das Sarma , G. Gervais , Xiaoqing Zhou

The hyperpolarization of nuclear spins can enable powerful imaging and sensing techniques provided the hyperpolarization is sufficiently long-lived. Recent experiments on nanodiamond $^{13}$C nuclear spins demonstrate that relaxation times…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Gargee Sharma , Torsten Gaebel , Ewa Rej , David J. Reilly , Sophia E. Economou , Edwin Barnes

The quantum Hall effect is usually observed when the two-dimensional electron gas is subjected to an external magnetic field, so that their quantum states form Landau levels. In this work we predict that a new phenomenon, the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chao-Xing Liu , Xiao-Liang Qi , Xi Dai , Zhong Fang , Shou-Cheng Zhang

A dynamical group for the single-particle (non-interacting) Quantum Hall Effect is found, and used to describe the Landau levels and determine the transverse (Hall) current.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Allan I. Solomon , Joseph L. Birman

The shaping of nuclear spin polarization profiles and the induction of nuclear resonances are demonstrated within a parabolic quantum well using an externally applied gate voltage. Voltage control of the electron and hole wave functions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Poggio , G. M. Steeves , R. C. Myers , Y. Kato , A. C. Gossard , D. D. Awschalom

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

The observation of new insulating phases of two-dimensional electrons in the first excited Landau level is reported. These states, which are manifested as re-entrant integer quantized Hall effects, exist alongside well-developed…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. P. Eisenstein , K. B. Cooper , L. N. Pfeiffer , K. W. West

We report on our theoretical investigation considering the widths of quantized Hall plateaus (QHPs) depending on the density asymmetry induced by the large current within the out-of-linear response regime. We solve the Schrodinger equation…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 D. Eksi , O. Kilicoglu , S. Aktas , A. Siddiki

We investigate in micro-photoluminescence experiments the dynamical nuclear polarization in individual InGaAs quantum dots. Experiments carried out in an applied magnetic field of 2T show that the nuclear polarization achieved through the…

Other Condensed Matter · Physics 2009-11-13 B. Urbaszek , P. -F. Braun , X. Marie , O. Krebs , A. Lemaitre , P. Voisin , T. Amand

Owing to the spin, valley, and orbital symmetries, the lowest Landau level (LL) in bilayer graphene exhibits multicomponent quantum Hall ferromagnetism. Using transport spectroscopy, we investigate the energy gaps of integer and fractional…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Yanmeng Shi , Yongjin Lee , Shi Che , Ziqi Pi , Timothy Espiritu , Petr Stepanov , Dmitry Smirnov , Chun Ning Lau , Fan Zhang

We analyze the role of impurities in the fractional quantum Hall effect using a highly controllable system of ultracold atoms. We investigate the mechanism responsible for the formation of plateaux in the resistivity/conductivity as a…

Quantum anomalous Hall effect (QAH) is induced by substitution of a certain portion, x, of Bi atoms in a BiTe-based insulating parent compound by magnetic ions (Cr or V). We find the density of in-gap states, N(E), emerging as a result of…

Disordered Systems and Neural Networks · Physics 2016-11-09 Z. Yue , M. E. Raikh

We examine the quantum phase diagram of the fractional quantum Hall effect in the lowest Landau level in half-filled bilayer structures as a function of tunneling strength and layer separation. Using numerical exact diagonalization we…

Mesoscale and Nanoscale Physics · Physics 2009-10-23 S. Das Sarma , Michael R. Peterson

In III-V semiconductor nano-structures the electron and nuclear spin dynamics are strongly coupled. Both spin systems can be controlled optically. The nuclear spin dynamics is widely studied, but little is known about the initialization…

Mesoscale and Nanoscale Physics · Physics 2018-04-05 M. Manca , G. Wang , T. Kuroda , S. Shree , A. Balocchi , P. Renucci , X. Marie , M. V. Durnev , M. M. Glazov , K. Sakoda , T. Mano , T. Amand , B. Urbaszek

We propose a new, more efficient, and potentially cost effective, solid-state nuclear spin hyperpolarization method combining the Cross Effect mechanism and electron spin optical hyperpolarization in rotating solids. We first demonstrate…

Quantum Physics · Physics 2022-01-25 Frederic Mentink-Vigier , Vinayak Rane , Thierry Dubroca , Krishnendu Kundu

In samples used to maintain the US resistance standard the breakdown of the dissipationless integer quantum Hall effect occurs as a series of dissipative voltage steps. A mechanism for this type of breakdown is proposed, based on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. M. Martin , K. A. Benedict , F. W. Sheard , L. Eaves

We have explored the manifold physical scenario emerging from a model of Dynamic Nuclear Polarization (DNP) via thermal mixing under the hypothesis of highly effective electron-electron interaction. When the electron and nuclear reservoirs…

Statistical Mechanics · Physics 2017-09-13 Sonia Colombo Serra , Alberto Rosso , Fabio Tedoldi

Fractionalization is a phenomenon where an elementary excitation partitions into several pieces. This picture explains non-trivial transport through a junction of one-dimensional edge channels defined by topologically distinct quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Chaojing Lin , Masayuki Hashisaka , Takafumi Akiho , Koji Muraki , Toshimasa Fujisawa

The concept of fractional charge is central to the theory of the fractional quantum Hall effect (FQHE). Here I use exact diagonalization as well as configuration space renormalization (CSR) to study finite clusters which are large enough to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. V. Tsiper

When a gas of electrons is confined to two dimensions, application of a strong magnetic field may lead to startling phenomena such as emergence of electron pairing. According to a theory this manifests itself as appearance of the fractional…

Mesoscale and Nanoscale Physics · Physics 2008-11-21 H. Saarikoski , E. Tolo , A. Harju , E. Rasanen