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Charge density waves are thought to be common in two-dimensional electron systems in quantizing magnetic fields. Such phases are formed by the quasiparticles of the topmost occupied Landau level when it is partially filled. One class of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

While in the lowest Landau level the electron-electron interaction leads to the formation of the Wigner crystal, in higher Landau levels a solid phase with multiple electrons in a lattice site of crystal was predicted, which was called the…

Mesoscale and Nanoscale Physics · Physics 2015-03-26 Xuebin Wang , Hailong Fu , Lingjie Du , Xiaoxue Liu , Pengjie Wang , L. N. Pfeiffer , K. W. West , Rui -Rui Du , Xi Lin

Under hydrostatic pressure, the ground state of a two-dimensional electron gas at $\nu=5/2$ changes from a fractional quantum Hall state to the stripe phase. By measuring the energy gap of the fractional quantum Hall state and of the onset…

Strongly Correlated Electrons · Physics 2017-08-02 K. A. Schreiber , N. Samkharadze , G. C. Gardner , Rudro R. Biswas , M. J. Manfra , G. A. Csáthy

In this work we study a system of interacting fermions on a triangular lattice in the presence of an external magnetic field. We neglect spin and fix a density of one third, with one unit of magnetic flux per particle. The infinite density…

Strongly Correlated Electrons · Physics 2025-07-04 Gleb Fedorovich , Clemens Kuhlenkamp , Atac Imamoglu , Ivan Amelio

We present observations of an anisotropic resistance state at Landau level filling factor $\nu=5/2$ in a two-dimensional hole system (2DHS), which occurs for certain values of hole density $p$ and average out-of-plane electric field…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 A. F. Croxall , F. Sfigakis , J. Waldie , I. Farrer , D. A. Ritchie

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

Magnetotransport measurements were performed in a ultra-high mobility GaAs/AlGaAs quantum well of density $\sim 3.0 \times 10^{11}$ $cm^{-2}$. The temperature dependence of the magnetoresistance $R_{xx}$ was studied in detail in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. Gervais , L. W. Engel , H. L. Stormer , D. C. Tsui , K. W. Baldwin , K. W. West , L. N. Pfeiffer

A transport study of two-dimensional (2D) holes confined to wide GaAs quantum wells provides a glimpse of a subtle competition between different many-body phases at Landau level filling $\nu=3/2$ in tilted magnetic fields. At large tilt…

Mesoscale and Nanoscale Physics · Physics 2016-11-08 Yang Liu , M. A. Mueed , Md. Shafayat Hossain , S. Hasdermir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Anisotropic states at half-filled third and 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…

Mesoscale and Nanoscale Physics · Physics 2009-01-13 Kazumi Tsuda

We study the ground state of a system of spinless electrons interacting through a screened Coulomb potential in a lattice ring. By using analytical arguments, we show that, when the effective interaction compares with the kinetic energy,…

Statistical Mechanics · Physics 2021-07-29 Massimo Ostilli , Carlo Presilla

In low-disorder, two-dimensional electron systems (2DESs), the fractional quantum Hall states at very small Landau level fillings ($\nu$) terminate in a Wigner solid (WS) phase, where electrons arrange themselves in a periodic array. The WS…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 P. T. Madathil , K. A. Villegas Rosales , Y. J. Chung , K. W. West , K. W. Baldwin , L. N. Pfeiffer , L. W. Engel , M. Shayegan

On the basis of energy calculations we investigate the competition between quantum-liquid and electron-solid phases in the Landau levels n=1,2, and 3 as a function of their partial filling factor. Whereas the quantum-liquid phases are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 A. A. Vasilchenko

We study here the onset of charge density wave instabilities in quantum Hall systems at finite temperature for Landau level filling $\nu>4$. Specific emphasis is placed on the role of disorder as well as an in-plane magnetic field. Beyond…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tudor Stanescu , Ivar Martin , Philip Phillips

At high magnetic fields, where the Fermi level lies in the N=0 lowest Landau level (LL), a clean two-dimensional electron system (2DES) exhibits numerous incompressible liquid phases which display the fractional quantized Hall effect (FQHE)…

Strongly Correlated Electrons · Physics 2012-08-14 Jing Xia , J. P. Eisenstein , Loren N. Pfeiffer , Ken W. West

We investigate integer and half-integer filling states (uniform and unidimensional stripe states respectively) for graphene using the Hartree-Fock approximation. For fixed filling factor, the ratio between the scales of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Jianhui Wang , A. Iyengar , H. A. Fertig , L. Brey

It was recently pointed out that topological liquid phases arising in the fractional quantum Hall effect (FQHE) are not required to be rotationally invariant, as most variational wavefunctions proposed to date have been. Instead, they…

Mesoscale and Nanoscale Physics · Physics 2012-04-25 Bo Yang , Z. Papić , E. H. Rezayi , R. N. Bhatt , F. D. M. Haldane

The ground state phase diagram of 2D electrons in a high Landau level (index N=2) is studied by the density matrix renormalization group method. Pair correlation functions are systematically calculated for various filling factors from v=1/8…

Mesoscale and Nanoscale Physics · Physics 2009-02-12 N. Shibata , D. Yoshioka

For the fast rotating quasi-two-dimensional dipolar fermions in the quantum Hall regime, the interaction between two dipoles breaks the rotational symmetry when the dipole moment has component in the the plane via being tuned by an external…

Strongly Correlated Electrons · Physics 2018-01-23 Zi-Xiang Hu , Qi Li , Lin-Peng Yang , Wu-Qing Yang , Na Jiang , Rui-Zhi Qiu , Bo Yang

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