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The braid group dynamics captures the fractional quantum Hall effect (FQHE) as a manifestation of puncture phase. When the dynamics is generalized for particles on a multi-sheeted surface, we obtain new tools which determine the fractional…

Condensed Matter · Physics 2007-05-23 C. Ting

Atomic vapors can be prepared and manipulated at very low densities and temperatures. When they are rotating, they can reach a quantum Hall regime in which there should be manifestations of the fractional quantum Hall effect. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 N. Regnault , Th. Jolicoeur

Dynamic nuclear spin polarization (DNP) mediated by paramagnetic point defects in semiconductors is a key resource for both initializing nuclear quantum memories and producing nuclear hyperpolarization. DNP is therefore an important process…

Nuclear spin hyperpolarization techniques, such as dynamic nuclear polarization (DNP) and parahydrogen-induced polarization (PHIP), have revolutionized nuclear magnetic resonance and magnetic resonance imaging. In these methods, a readily…

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip Kim

We report the observation of developing fractional quantum Hall states at Landau level filling factors $\nu = 1/2$ and 1/4 in electron systems confined to wide GaAs quantum wells with significantly $asymmetric$ charge distributions. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. Shabani , T. Gokmen , Y. T. Chiu , M. Shayegan

The integer and fractional quantum Hall states are known to break down at high dc bias, exhibiting deviation from the ideal incompressible behavior. We measure breakdown of the \nu = 2, 3, 4, 5 integer and the \nu = 4/3 and 5/3 fractional…

Mesoscale and Nanoscale Physics · Physics 2015-03-26 C. Dillard , X. Lin , M. A. Kastner , L. N. Pfeiffer , K. W. West

Several recent works have proposed that electron-electron interactions in bilayer graphene can be tuned with the help of external parameters, making it possible to stabilize different fractional quantum Hall states. In these prior works,…

Strongly Correlated Electrons · Physics 2012-05-31 Kyrylo Snizhko , Vadim Cheianov , Steven H. Simon

We observe variation in the resistively-detected nuclear magnetic resonance (RDNMR) lineshapes in quantum Hall breakdown. The breakdown is locally occurred in a gate-defined quantum point contact (QPC) region. Of particular interest is the…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 M. H. Fauzi , A. Singha , M. F. Sahdan , M. Takahashi , K. Sato , K. Nagase , B. Muralidharan , Y. Hirayama

Dynamic nuclear polarization (DNP) is used in nuclear magnetic resonance (NMR) to transfer polarization from electron spins to nuclear spins. The resulting nuclear polarization enhancement can, in theory, be two or three orders of magnitude…

Quantum Physics · Physics 2015-10-14 Sarah Sheldon , David G. Cory

Effects of both the dynamic nuclear polarization (DNP) created by circularly polarized light and the fluctuations of average nuclear spin in a quantum dot (QD) on the electron spin orientation are studied for singly negatively charged InP…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. Yu. Verbin , B. Pal , M. Ikezawa , I. V. Ignatiev , Y. Masumoto

The Landau level mixing is the key in understanding the mysterious $5/2$ fractional quantum Hall effect in GaAs quantum well. Theoretical calculations with and without Landau level mixing show striking differences. However, the way to deal…

Strongly Correlated Electrons · Physics 2024-05-08 Wenchen Luo , Muaath Abdulwahab , Xiang Liu , Hao Wang

Dynamical Hall conductivity {\sigma}_H({\omega}) of a 2D electron gas with impurities in the perpendicular magnetic field is analyzed. Plateau-like behavior at low frequencies as well as at high frequencies provided the complete filling of…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Zhyrair Gevorkian , Vadim Farztdinov , Yurii Lozovik

Fractional quantum Hall (FQH) states have recently been observed at unexpected values of the filling factor nu. Here we interpret these states as a novel family of FQH states involving pairing correlations rather than Laughlin correlations…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 John J. Quinn , Arkadiusz Wojs , Kyung-Soo Yi

The spin transitions in the fractional quantum Hall effect provide a direct measure of the tiny energy differences between differently spin-polarized states, and thereby serve as an extremely sensitive test of the quantitative accuracy of…

Strongly Correlated Electrons · Physics 2016-09-14 Yuhe Zhang , A. Wójs , J. K. Jain

The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. The exact one-electron eigenstates of…

Condensed Matter · Physics 2007-05-23 N. Kumar

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

Fractional conductance is measured by partitioning $\nu = 1$ edge state using gate-tunable fractional quantum Hall (FQH) liquids of filling 1/3 or 2/3 for current injection and detection. We observe two sets of FQH plateaus 1/9, 2/9, 4/9…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Tanmay Maiti , Pooja Agarwal , Suvankar Purkait , G J Sreejith , Sourin Das , Giorgio Biasiol , Lucia Sorba , Biswajit Karmakar

The competition between the Zeeman energy and the Rashba and Dresselhaus spin-orbit couplings is studied for fractional quantum Hall states by including correlation effects. A transition of the direction of the spin-polarization is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Chesi , D. Loss