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Kinetics of spatially uniform distribution of 2D electrons in crossed electric and magnetic fields in the presence of microwave radiation has been studied. In the present model the contribution from the microwave radiation and the effects…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. I. Lyapilin , A. E. Patrakov

We propose a novel wave function partitioning method that integrates deep-learning variational Monte Carlo with ans\"atze based on generalized product functions. This approach effectively separates electronic wave functions (WFs) into…

Chemical Physics · Physics 2025-06-24 Matěj Mezera , Paolo A. Erdman , Zeno Schätzle , P. Bernát Szabó , Frank Noé

In half-filled high Landau levels, two-dimensional electron systems possess collective phases which exhibit a strongly anisotropic resistivity tensor. A weak, but as yet unknown, rotational symmetry-breaking potential native to the host…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We consider spaces of trial wavefunctions for ground states and edge excitations in the fractional quantum Hall effect that can be obtained in various ways. In one way, functions are obtained by analyzing the entanglement of the ground…

Mesoscale and Nanoscale Physics · Physics 2013-09-04 T. S. Jackson , N. Read , S. H. Simon

Landau quantization associated with the quantized cyclotron motion of electrons under magnetic field provides the effective way to investigate topologically protected quantum states with entangled degrees of freedom and multiple quantum…

Mesoscale and Nanoscale Physics · Physics 2023-05-01 Zihao Huang , Guoyu Xian , Xiangbo Xiao , Xianghe Han , Guojian Qian , Chengmin Shen , Haitao Yang , Hui Chen , Banggui Liu , Ziqiang Wang , Hong-Jun Gao

We show that the Landau levels in epitaxial graphene in presence of localized defects are significantly modified compared to those of an ideal system. We report on magneto-spectroscopy experiments performed on high quality samples. Besides…

The electronic states of lateral many electron quantum dots in high magnetic fields are analyzed in terms of energy and spin. In a regime with two Landau levels in the dot, several Coulomb blockade peaks are measured. A zig-zag pattern is…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. C. Rogge , E. Rasanen , R. J. Haug

A single Landau level (LL) dressed with periodic electrostatic potentials can realize a plethora of interacting topological phases where the Hall conductivity generally does not equal to the LL filling factor. Their physics can be captured…

Strongly Correlated Electrons · Physics 2026-04-07 Bo Peng , Yuzhu Wang , Bo Yang

We examine the current-induced magnetoresistance oscillations in high-mobility two-dimensional electron systems using the balance-equation scheme for nonlinear magnetotransort. The reported analytical expressions for differential…

Materials Science · Physics 2015-05-13 X. L. Lei

Effects of electron correlation on the electronic structure and magnetic properties of the Gd(0001) surface are investigated using of the full-potential linearized augmented plane wave implementation of correlated band theory ("LDA+U"). The…

Strongly Correlated Electrons · Physics 2009-10-31 A. B. Shick , W. E. Pickett , C. S. Fadley

We report on exact diagonalization studies for fully spin polarized 5/2 fractional quantum Hall effect, incorporating Landau level mixing through the Bishara-Nayak effective interaction. We find that there is an experimentally accessible…

Strongly Correlated Electrons · Physics 2015-05-19 Arkadiusz Wojs , Csaba Toke , Jainendra K. Jain

The topological morphology--order of zeros at the positions of electrons with respect to a specific electron--of Laughlin state at filling fractions $1/m$ ($m$ odd) is homogeneous as every electron feels zeros of order $m$ at the positions…

Strongly Correlated Electrons · Physics 2017-09-08 Sutirtha Mukherjee , Sudhansu S Mandal

We report on results of numerical studies of the spin polarization of the half filled second Landau level, which corresponds to the fractional quantum Hall state at filling factor $\nu=5/2$. Our studies are performed using both exact…

Mesoscale and Nanoscale Physics · Physics 2009-04-01 A. E. Feiguin , E. Rezayi , Kun Yang , C. Nayak , S. Das Sarma

We report electrical transport measurements in a tilted magnetic field on a high-mobility two-dimensional electron system confined at the MgZnO/ZnO heterointerface. The observation of multiple crossing events of spin-resolved Landau levels…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 D. Maryenko , J. Falson , Y. Kozuka , A. Tsukazaki , M. Kawasaki

We report the observation of developing fractional quantum Hall states at Landau level filling factors $\nu = 1/2$ and 1/4 in electron systems confined to wide GaAs quantum wells with significantly $asymmetric$ charge distributions. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 J. Shabani , T. Gokmen , Y. T. Chiu , M. Shayegan

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

The fractional quantum Hall state at Landau level (LL) filling factor 5/2 is extremely interesting because it is likely the first non-Abelian state, but its precise nature remains unclear after decades of study. We demonstrate this can be…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 F. D. M. Haldane , E. H. Rezayi , Kun Yang

We show that for a class of model Hamiltonians for which certain trial quantum Hall wavefunctions are exact ground states, there is a single spectral density function which controls all two-point correlation functions of density, current…

Strongly Correlated Electrons · Physics 2014-12-12 Dung Xuan Nguyen , Dam Thanh Son , Chaolun Wu

We report low temperature magnetotransport measurements on a high mobility (\mu=325,000 cm^2/V sec) 2D electron system on a H-terminated Si(111) surface. While low magnetic field data indicate a six-fold valley degenerate system, we observe…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Tomasz M. Kott , Binhui Hu , S. H. Brown , B. E. Kane

We apply polarization resolved photoluminescence spectroscopy to measure the spin polarization of a two dimensional electron gas in perpendicular magnetic field. In the vicinity of filling factor nu=5/2, we observe a sharp discontinuity in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. Stern , P. Plochocka , V. Umansky , D. K. Maude , M. Potemski , I. Bar-Joseph
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