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Charge excitations in a two dimensional electron gas, under a quantizing magnetic field and in the fractional quantum Hall effect regime, flow in one dimensional-like strips along the edges of the sample. These excitations (quasiparticles)…

Mesoscale and Nanoscale Physics · Physics 2009-12-25 Moty Heiblum

We perform variational Monte-Carlo calculations to show that bosons in a rotating optical lattice will form analogs of fractional quantum Hall states when the tunneling is sufficiently weak compared to the interactions and the deviation of…

Quantum Gases · Physics 2015-05-18 R. O. Umucalilar , Erich J. Mueller

We report inelastic light scattering experiments in the fractional quantum Hall regime at filling factors $\nu\lesssim1/3$. A spin mode is observed below the Zeeman energy. The filling factor dependence of the mode energy is consistent with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Gallais , T. H. Kirschenmann , C. F. Hirjibehedin , I. Dujovne , A. Pinczuk , L. N. Pfeiffer , K. W. West

Detailed measurements of the longitudinal thermopower of two-dimensional electrons in the first excited Landau level are reported. Clear signatures of numerous fractional quantized Hall states, including those at $\nu = 5/2$ and 7/3, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 W. E. Chickering , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

The unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at $\nu=2+6/13$~ [Kumar \emph{et al.}, Phys. Rev. Lett. {\bf 105}, 246808 (2010)] offers a clue into the physical mechanism of the FQHE in the second Landau level…

Strongly Correlated Electrons · Physics 2018-11-05 Ajit C. Balram , Sutirtha Mukherjee , Kwon Park , Maissam Barkeshli , Mark S. Rudner , J. K. Jain

Recent experiments have established a qualitative difference between the magnetization temperature-dependences $M(T)$ of quantum Hall ferromagnets at integer and fractional filling factors. We explain this difference in terms of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. H. MacDonald , J. J. Palacios

The residual interaction between composite fermions (CFs) can express itself through higher order fractional Hall effect. With the help of diagonalization in a truncated composite fermion basis of low-energy many-body states, we predict…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Chia-Chen Chang , Sudhansu S. Mandal , Jainendra K. Jain

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 present a numerical study of fractional quantum Hall liquid at Landau level filling factor $\nu=2/3$ in a microscopic model including long-range Coulomb interaction and edge confining potential, based on the disc geometry. We find the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Zi-Xiang Hu , Hua Chen , Kun Yang , E. H. Rezayi , Xin Wan

A major motivation for building a quantum computer is that it provides a tool to efficiently simulate strongly correlated quantum systems. In this work, we present a detailed roadmap on how to simulate a two-dimensional electron…

The sequence of prominent fractional quantum Hall states up to $\nu$=5/11 around $\nu$=1/2 in a high mobility two-dimensional electron system confined at oxide heterointerface (ZnO) is analyzed in terms of the composite fermion model. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Denis Maryenko , Joseph Falson , Yusuke Kozuka , Atsushi Tsukazaki , Masaru Onoda , Hideo Aoki , Masashi Kawasaki

We present a comprehensive numerical study of a microscopic model of the fractional quantum Hall system at filling fraction $\nu = 5/2$, based on the disc geometry. Our model includes Coulomb interaction and a semi-realistic confining…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Xin Wan , Zi-Xiang Hu , E. H. Rezayi , Kun Yang

We report experiments on the energy structure of antidot-bound states. By measuring resonant tunneling line widths as function of temperature, we determine the coupling to the remote global gate voltage and find that the effects of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 I. J. Maasilta , V. J. Goldman

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…

Strongly Correlated Electrons · Physics 2010-10-28 T. Ito , K. Nomura , N. Shibata

We consider electron systems in quantum dots and imaging of the confined charge density by the Coulomb blockade microscopy (CBM) with the scanning probe technique. We apply an exact diagonalization method to study the reaction of the…

Mesoscale and Nanoscale Physics · Physics 2014-06-27 E. Wach , D. P. Żebrowski , B. Szafran

We investigate shot noise at {\it finite temperatures} induced by the quasi-particle tunneling between fractional quantum Hall (FQH) edge states. The resulting Fano factor has the peak structure at a certain bias voltage. Such a structure…

Mesoscale and Nanoscale Physics · Physics 2012-04-10 E. Iyoda , T. Fujii

We have investigated the effect of unidirectional periodic potential modulation on the fractional quantum Hall (FQH) state at filling factors nu=5/3 and 4/3. For large enough modulation amplitude, we find that the resistivity minimum at…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 Akira Endo , Naokazu Shibata , Yasuhiro Iye

We describe a method to create fractional quantum Hall states of atoms confined in optical lattices. We show that the dynamics of the atoms in the lattice is analogous to the motion of a charged particle in a magnetic field if an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anders S. Sorensen , Eugene Demler , Mikhail D. Lukin

In the strong magnetic field fractional quantum Hall regime, electrons in a two-dimensional electron system are confined to their lowest Landau level. Because of the macroscopic Landau level degeneracy nearly all physical properties at low…

Condensed Matter · Physics 2009-10-28 A. H. MacDonald

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…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 C. R. Dean , B. A. Piot , P. Hayden , S. Das Sarma , G. Gervais , L. N. Pfeiffer , K. W. West