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Anisotropic states at half-filled higher Landau levels are investigated in the system with a finite electric current. We study the response of the striped Hall state and the anisotropic charge density wave (ACDW) state against the injected…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Kazumi Tsuda , Nobuki Maeda , Kenzo Ishikawa

We compare the energies of the striped Hall state and the anisotropic charge density wave (ACDW) state at half-filled third and higher Landau levels in the system with injected currents. With no injected current, the ACDW state has a lower…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kazumi Tsuda , Nobuki Maeda , Kenzo Ishikawa

Using the von Neumann lattice formalism, we study compressible anisotropic states around the half-filled Landau levels in the quantum Hall system. In these states the unidirectional charge density wave (UCDW) state seems to be the most…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 Nobuki Maeda

We investigate the nature of the quantum Hall liquid in a half-filled second Landau level ($n=1$) as a function of band mass anisotropy using numerical exact diagonalization (ED) and density matrix renormalization group (DMRG) methods. We…

Strongly Correlated Electrons · Physics 2017-10-27 Zheng Zhu , Inti Sodemann , D. N. Sheng , Liang Fu

Recently reported giant anisotropy in the longitudinal resistivity of a 2D electron system with valence Landau level index $N \ge 2$ has been interpreted as a signal of unidirectional charge density wave (UCDW) ground states. We report on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Jungwirth , A. H. MacDonald , L. Smrcka , S. M. Girvin

We present results of a study of double layer quantum Hall systems in which each layer has a high-index Landau level that is half-filled. Hartree-Fock calculations indicate that, above a critical layer separation, the system becomes…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. Brey , H. A. Fertig

We study the effects of disorder on the quantum Hall stripe phases in half-filled high Landau levels using exact numerical diagonalization. We show that, in the presence of weak disorder, a compressible, striped charge density wave, becomes…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. N. Sheng , Ziqiang Wang , B. Friedman

In recent experiments, external anisotropy has been a useful tool to tune different phases and study their competitions. In this paper, we look at the quantum Hall charge density wave states in the $N=2$ Landau level. Without anisotropy,…

Strongly Correlated Electrons · Physics 2021-06-15 Yuchi He , Kang Yang , Mark Oliver Goerbig , Roger S. K. Mong

Thermodynamic and electric properties of anisotropic compressible Hall states at higher Landau levels are studied using a mean field theory on the von Neumann lattice basis. It is shown that resistances agree with the recent experiments of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Ishikawa , N. Maeda

Using a mean field theory on the von Neumann lattice, we study compressible anisotropic states around $\nu=l+1/2$ in the quantum Hall system. The Hartree-Fock energy of the UCDW are calculated self-consistently. In these states the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Nobuki Maeda

Recent experiments seem to confirm predictions that interactions lead to charge density wave ground states in higher Landau levels. These new ``correlated'' ground states of the quantum Hall system manifest themselves for example in a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Felix von Oppen , Bertrand I. Halperin , Ady Stern

A strong anisotropy in the longitudinal resistivity of a 2D electron system has been observed at half-filled high Landau levels. We report on detailed Hartree-Fock calculations of the unidirectional charge density wave (UCDW) orientation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Jungwirth , A. H. MacDonald , L. Smrčka , S. M. Girvin

There is growing experimental and theoretical evidence that very clean two dimensional electron systems form unidirectional charge density waves (UCDW) or ``striped'' states at low temperatures and at Landau level filling fractions of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Anna Lopatnikova , Steven H. Simon , Bertrand I. Halperin , Xiao-Gang Wen

Electron-electron interactions in half-filled high Landau levels in two-dimensional electron gases in a strong perpendicular magnetic field can lead to states with anisotropic longitudinal resistance. This longitudinal resitance is…

Strongly Correlated Electrons · Physics 2012-02-17 Peter M. Smith , Malcolm P. Kennett

We study the compressible states in the quantum Hall system using a mean field theory on the von Neumann lattice. In the lowest Landau level, a kinetic energy is generated dynamically from Coulomb interaction. The compressibility of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Kenzo Ishikawa , Nobuki Maeda , Tetsuyuki Ochiai

Mean-field calculations for the two dimensional electron gas (2DEG) in a large magnetic field with a partially filled Landau level with index $N\geq 2$ consistently yield ``stripe-ordered'' charge-density wave ground-states, for much the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson

We present in this Letter the results from two high quality, low density GaAs quantum wells. In sample A of electron density n=5.0x10^10 cm^-2, anisotropic electronic transport behavior was observed at \nu=7/2 in the second Landau level. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 W. Pan , A. Serafin , J. S. Xia , L. Yin , N. S. Sullivan , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

We study the anisotropic effect of the Coulomb interaction on a 1/3-filling fractional quantum Hall system by using an exact diagonalization method on small systems in torus geometry. For weak anisotropy the system remains to be an…

Strongly Correlated Electrons · Physics 2012-07-18 Hao Wang , Rajesh Narayanan , Xin Wan , Fuchun Zhang

We study an anisotropic cubic Dirac semi-metal subjected to a constant magnetic field. In the case of an isotropic dispersion in the $x$-$y$ plane, with parameters $v_{x}=v_{y}$, it is possible to find exact Landau levels, indexed by the…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Ahmed Jellal , Hocine Bahlouli , Michael Vogl

We propose a quantum stripe (smectic) coupled-Luttinger-liquid model for the anisotropic states which occur in two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} = \nu - \lbrack\nu\rbrack$. Perturbative…

Condensed Matter · Physics 2009-10-31 A. H. MacDonald , Matthew P. A. Fisher
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