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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…

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

量子气体 · 物理学 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

A theory is developed for the paired even-denominator fractional quantum Hall states in the lowest Landau level. We show that electrons bind to quantized vortices to form composite fermions, interacting through an exact instantaneous…

强关联电子 · 物理学 2015-05-14 Yuan-Ming Lu , Yue Yu , Ziqiang Wang

We compare quantum Hall systems at filling factor 2 to those at filling factors 2/3 and 2/5, corresponding to the exact filling of two lowest electron or composite fermion (CF) Landau levels. The two fractional states are examples of CF…

介观与纳米尺度物理 · 物理学 2007-05-23 K. Vyborny , O. Certik , D. Pfannkuche , D. Wodzinski , A. Wojs , J. J. Quinn

We study the fractional quantum Hall effect at filling fractions 7/3 and 5/2 in the presence of the spin-orbit interaction, using the exact diagonalization method and the density matrix renormalization group (DMRG) method in a spherical…

强关联电子 · 物理学 2010-10-28 T. Ito , K. Nomura , N. Shibata

We study the domain formation in the v=2/3 fractional quantum Hall systems basing on the density matrix renormalization group (DMRG) analysis. The ground-state energy and the pair correlation functions are calculated for various spin…

介观与纳米尺度物理 · 物理学 2009-11-13 Naokazu Shibata , Kentaro Nomura

The quantum Hall regime in a smooth random potential is considered when two disorder-broadened Zeeman levels overlap strongly. Spin-orbit coupling is found to cause a drastic change in the percolation network which leads to a strong…

凝聚态物理 · 物理学 2016-08-31 D. G. Polyakov , M. E. Raikh

In this paper we study fractional quantum Hall composite fermion wavefunctions at filling fractions \nu = 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wavefunctions with different spin polarizations,…

介观与纳米尺度物理 · 物理学 2012-06-06 Simon C. Davenport , Steven H. Simon

Motivated by the discovery of extremely low energy collective modes in the fractional quantum Hall effect (Kang, Pinczuk {\em et al.}), with energies below the Zeeman energy, we study theoretically the spin reversed excitations for…

介观与纳米尺度物理 · 物理学 2009-11-07 Sudhansu S. Mandal , J. K. Jain

The fractional quantum Hall effect (FQHE) is theoretically investigated, with numerical and algebraic approaches, in assemblies of a few spinful ultracold neutral fermionic atoms, interacting via repulsive contact potentials and confined in…

量子气体 · 物理学 2020-10-20 Constantine Yannouleas , Uzi Landman

We report on our theoretical investigations that point to the possibility of a fractional quantum Hall effect with partial spin polarization at $\nu=3/8$. The physics of the incompressible state proposed here involves p-wave pairing of…

介观与纳米尺度物理 · 物理学 2007-05-23 V. W. Scarola , J. K. Jain , E. H. Rezayi

We present the phase diagram of a ferromagnetic quantum Hall effect liquid in a narrow quantum well with vanishing single-particle Zeeman splitting, $\epsilon_{{\rm Z}}$ and pronounced spin-orbit coupling. Upon decreasing $\epsilon_{{\rm…

介观与纳米尺度物理 · 物理学 2009-10-31 Vladimir I. Fal'ko , S. V. Iordanski

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…

强关联电子 · 物理学 2016-09-14 Yuhe Zhang , A. Wójs , J. K. Jain

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…

介观与纳米尺度物理 · 物理学 2014-11-21 S. Das Sarma , G. Gervais , Xiaoqing Zhou

Electromagnetic duality between the Aharonov-Bohm and the Aharonov-Casher quantum mechanical phases predicts the existence of a new collective state of matter which can be regarded as a spin dual to the fractional quantum Hall effect. The…

介观与纳米尺度物理 · 物理学 2010-10-05 Jean J. Heremans , Djordje Minic

We demonstrate the experimental feasibility of incompressible fractional quantum Hall-like states in ultra-cold two dimensional rapidly rotating dipolar Fermi gases. In particular, we argue that the state of the system at filling fraction…

介观与纳米尺度物理 · 物理学 2009-11-10 M. A. Baranov , Klaus Osterloh , M. Lewenstein

The double fractional quantum Hall system of spin 1/2 electrons is numerically studied to predict that there exists a novel spin-unpolarized quantum liquid specific to the multi-species system, which exemplifies a link between the spin…

凝聚态物理 · 物理学 2009-10-22 T. Nakajima , H. Aoki

We propose fractional spin hall effect (FSHE) by coupling pseudospin states of cold bosonic atoms to optical fields. The present scheme is an extension to interacting bosonic system of the recent work \cite{liu,zhu} on optically induced…

介观与纳米尺度物理 · 物理学 2009-04-03 Xiong-Jun Liu , Xin Liu , L. C. Kwek , C. H. Oh

Using a tilted field geometry, the effect of an in-plane magnetic field on the even denominator nu = 5/2 fractional quantum Hall state is studied. The energy gap of the nu = 5/2 state is found to collapse linearly with the in-plane magnetic…

介观与纳米尺度物理 · 物理学 2009-07-22 C. R. Dean , B. A. Piot , P. Hayden , S. Das Sarma , G. Gervais , L. N. Pfeiffer , K. W. West

We investigate the nu=1 quantum Hall ferromagnet in the presence of spin-orbit coupling of the Rashba or Dresselhaus type by means of Hartree-Fock-typed variational states. In the presence of Rashba (Dresselhaus) spin-orbit coupling the…

介观与纳米尺度物理 · 物理学 2009-11-07 John Schliemann , J. Carlos Egues , Daniel Loss
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