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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…

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

We report ultra-low temperature experiments on the obscure fractional quantum Hall effect (FQHE) at Landau level filling factor $\nu$=5/2 in a very high mobility specimen of $\mu=1.7 \times 10^7$ cm$^2$/Vs. We achieve an electron…

介观与纳米尺度物理 · 物理学 2009-10-31 W. Pan , J. -S. Xia , V. Shvarts , E. D. Adams , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

The spin-polarized even-denominator fractional quantum Hall (FQH) states in the second Landau level (LL), i.e. 5/2 and 7/2, may possess novel quasi-particle excitations obeying non-Abelian statistics. However, the spin polarization of the…

介观与纳米尺度物理 · 物理学 2020-06-15 Pengjie Wang , Jian Sun , Hailong Fu , Yijia Wu , Hua Chen , L. N. Pfeiffer , K. W. West , X. C. Xie , Xi Lin

The fractional quantum Hall (FQH) effect at filling factor v = 5/2 has recently come under close scrutiny, as it may possess quasi-particle excitations obeying nonabelian statistics, a property sought for topologically protected quantum…

介观与纳米尺度物理 · 物理学 2012-01-31 Lars Tiemann , Gerardo Gamez , Norio Kumada , Koji Muraki

We investigate, using finite size numerical calculations, the spin-polarized fractional quantum Hall effect (FQHE) in the first excited Landau level (LL). We find evidence for the existence of an incompressible state at $\nu = \frac{7}{3} =…

凝聚态物理 · 物理学 2009-10-22 Lotfi Belkhir , J. K. Jain

We present a spectrum of experimental data on the fractional quantum Hall effect (FQHE) states in the first excited Landau level, obtained in an ultrahigh mobility two-dimensional electron system (2DES) and at very low temperatures and…

介观与纳米尺度物理 · 物理学 2009-11-13 W. Pan , J. S. Xia , H. L. Stormer , D. C. Tsui , C. Vicente , E. D. Adams , N. S. Sullivan , L. N. Pfeiffer , K. W. Baldwin , K. W. West

We report on detailed experimental studies of a high-quality heterojunction insulated-gate field-effect transistor (HIGFET) to probe the particle-hole symmetry (PHS) of the FQHE states about half-filling in the lowest Landau level. The…

介观与纳米尺度物理 · 物理学 2020-04-22 W. Pan , W. Kang , M. P. Lilly , J. L. Reno , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

In a GaAs/AlGaAs quantum well of electron density 1x10^{11} cm^{-2} we observe a fractional quantum Hall effect (FQHE) at filling factors nu=4/11, and 5/13, and weaker states at nu=6/17, 4/13, 5/17 and 7/11. These sequences of fractions do…

介观与纳米尺度物理 · 物理学 2009-11-10 W. Pan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

Magnetotransport measurements on two-dimensional electrons confined to wide GaAs quantum wells reveal a remarkable evolution of the ground state at filling factor $\nu=1/2$ as we tilt the sample in the magnetic field. Starting with a…

介观与纳米尺度物理 · 物理学 2015-06-08 Sukret Hasdemir , Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The fractional quantum Hall effect (FQHE) occurs at certain magnetic field strengths B*(n) in a two-dimensional electron gas of density n at strong magnetic fields perpendicular to the plane of the electron gas. At these magnetic fields…

凝聚态物理 · 物理学 2007-05-23 O. Heinonen , M. I. Lubin , M. D. Johnson

We have observed in a low density two-dimensional hole system (2DHS) of extremely high quality (with hole density p=1.6x10^{10} cm^{-2} and mobility \mu=0.8x10^6 cm^2/Vs) that, as the 2DHS is continuously tilted with respect to the…

介观与纳米尺度物理 · 物理学 2009-11-10 W. Pan , G. A. Csathy , D. C. Tsui , L. N. Pfeiffer , K. W. West

We report an experimental investigation of fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu$ = 1/2 in very high quality wide GaAs quantum wells, and at very high magnetic fields up to 45 T. The…

介观与纳米尺度物理 · 物理学 2013-12-24 J. Shabani , Y. Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed 33 years ago. FQHE involves strong Coulomb interactions and correlations among the electrons, which leads to quasiparticles with fractional elementary…

介观与纳米尺度物理 · 物理学 2015-01-05 Xi Lin , Rui -Rui Du , Xincheng Xie

Quantum Hall states at filling fraction $\nu$=5/2 are examined by numerical diagonalization. Spin-polarized and -unpolarized states of systems with $N\le 18$ electrons are studied, neglecting effects of Landau level mixing. We find that the…

介观与纳米尺度物理 · 物理学 2009-10-31 Rudolf H. Morf

We report a theoretical analysis of the half-polarized quantum Hall states observed in a recent experiment. Our numerical results indicate that the ground state energy of the quantum Hall $\nu= 2/3$ and $\nu= 2/5$ states versus spin…

介观与纳米尺度物理 · 物理学 2009-10-31 V. M. Apalkov , T. Chakraborty , P. Pietilainen , K. Niemela

Fascinating structures have arisen from the study of the fractional quantum Hall effect (FQHE) at the even denominator fraction of $5/2$. We consider the FQHE at another even denominator fraction, namely $\nu=2+3/8$, where a well-developed…

强关联电子 · 物理学 2022-04-12 Ajit C. Balram

The present theory has investigated the FQHE without any quasi-particle. The electric field due to the Hall voltage is taken into consideration. We find the ground state where the electron configuration is uniquely determined so as to have…

介观与纳米尺度物理 · 物理学 2016-03-30 Shosuke Sasaki

The origin of fractional quantum Hall effect (FQHE) at 4/11 and 5/13 has remained controversial. We make a compelling case that FQHE is possible here for fully spin polarized composite fermions, but with an unconventional underlying…

介观与纳米尺度物理 · 物理学 2014-10-21 Sutirtha Mukherjee , Sudhansu S. Mandal , Ying-Hai Wu , Arkadiusz Wójs , Jainendra K. Jain

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 observe fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu=1/2$ in two-dimensional hole systems confined to GaAs quantum wells of width 30 to 50 nm and having bilayer-like charge distributions.…

介观与纳米尺度物理 · 物理学 2014-09-30 Yang Liu , A. L. Graninger , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler
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