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Using the strong coupling diagram technique, we calculate the zero-temperature density of states $\rho$ of electrons on a square lattice immersed in a perpendicular uniform magnetic field. The electrons are described by Hubbard Hamiltonian.…

Strongly Correlated Electrons · Physics 2025-04-10 Alexei Sherman

We report the observation of an acute sensitivity of the anisotropic longitudinal resistivity of two-dimensional electron systems in half-filled high Landau levels to the magnitude and orientation of an in-plane magnetic field. In the third…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. P. Lilly , K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We study the ground state of one-dimensional channel with strong attractive electron-electron interaction at low temperatures. In spite of the fact that at low temperatures the ground state of one-dimensional attracting electrons is a state…

Strongly Correlated Electrons · Physics 2019-09-13 V. V. Afonin , S. V. Gantsevich

We review recent experimental results indicating the band flattening and Landau level merging at the chemical potential in strongly-correlated two-dimensional (2D) electron systems. In ultra-clean, strongly interacting 2D electron system in…

Strongly Correlated Electrons · Physics 2022-09-22 V. T. Dolgopolov , M. Yu. Melnikov , A. A. Shashkin , S. V. Kravchenko

We report results of a numerical study of non-interacting electrons moving in a random potential in two dimensions in the presence of a weak perpendicular magnetic field. We study the topological properties of the electronic eigenstates…

Condensed Matter · Physics 2009-10-28 Kun Yang , R. N. Bhatt

The $N\to\infty$ limit of the edges of finite planar electron densities is discussed for higher Landau levels. For full filling, the particle number is correlated with the magnetic flux, and hence with the boundary location, making the…

High Energy Physics - Theory · Physics 2009-10-22 Gerald Dunne

We describe an experimental technique to measure the chemical potential, $\mu$, in atomically thin layered materials with high sensitivity and in the static limit. We apply the technique to a high quality graphene monolayer to map out the…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Fangyuan Yang , Alexander A. Zibrov , Ruiheng Bai , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

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

We study local density of electron states of a two-dimentional conductor with a smooth disorder potential in a non-quantizing magnetic field, which does not cause the standart de Haas-van Alphen oscillations. It is found, that despite the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. M. Rudin , I. L. Aleiner , L. I. Glazman

We study the frequency-dependent magnetoconductivity of a strongly correlated nondegenerate 2D electron system in a quantizing magnetic field. We first restore the single-electron conductivity from calculated 14 spectral moments. It has a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frank Kuehnel , Leonid P. Pryadko , M. I. Dykman

We compare the energies of the Laughlin liquid and a charge density wave in a weak magnetic field for the upper Landau level filling factors $\nu_N = 1/3$ and $1/5$. The charge density wave period has been optimized and was found to be…

Condensed Matter · Physics 2007-05-23 M. M. Fogler , A. A. Koulakov

By means of exact diagonalization we study the low-energy states of seven electrons in the lowest Landau level which are confined by a cylindric external potential modelling the rest of a macroscopic system and thus controlling the filling…

Condensed Matter · Physics 2009-10-28 V. A. Kashurnikov , N. V. Prokof'ev , B. V. Svistunov , I. S. Tupitsyn

At a very low temperature of 9mK, electrons in the 2nd Landau level of an extremely high mobility two-dimensional electron system exhibit a very complex electronic behavior. With varying filling factor, quantum liquids of different origins…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. S. Xia , W. Pan , C. L. Vincente , E. D. Adams , N. S. Sullivan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

Magneto-transport measurements on electrons confined to a 57 nm-wide, GaAs quantum well reveal that the correlated electron states at low Landau level fillings ($\nu$) display a remarkable dependence on the symmetry of the electron charge…

Mesoscale and Nanoscale Physics · Physics 2009-07-30 J. Shabani , T. Gokmen , M. Shayegan

We report on a state characterized by a zero differential resistance observed in very high Landau levels of a high-mobility two-dimensional electron system. Emerging from a minimum of Hall field-induced resistance oscillations at low…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 A. T. Hatke , H. -S. Chiang , M. A. Zudov , L. N. Pfeiffer , K. W. West

Frictional drag measurements revealing anomalously large dissipation at the transition between the weakly- and strongly-coupled regimes of a bilayer two-dimensional electron system at total Landau level filling factor $\nu_T =1$ are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kellogg , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We consider Coulomb drag between two layers of two-dimensional electron gases subject to a strong magnetic field, with the Landau level filling factor in each layer being 1/2. We find $\rho_D$ to be very large, as compared to the zero…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ady Stern , Iddo Ussishkin

We study light scattering from a periodically modulated two dimensional electron gas in a perpendicular magnetic field. If a subband is partially filled, the imaginary part of the dielectric function as a function of frequency contains…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Arne Brataas , C. Zhang , K. A. Chao

We study two-dimensional interacting electrons in a weak perpendicular magnetic field with the filling factor $\nu \gg 1$ and in the presence of a quenched disorder. As it is known, the unidirectional charge density wave state can exist…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. S. Burmistrov

We present longitudinal and Hall magneto-resistance measurements of a ``magnetic'' two-dimensional electron gas (2DEG) formed in modulation-doped Zn$_{1-x-y}$Cd$_{x}$Mn$_{y}$Se quantum wells. The electron spin splitting is temperature and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Knobel , N. Samarth , J. G. E. Harris , D. D. Awschalom