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In wide GaAs quantum wells where two electric subbands are occupied we apply a parallel magnetic field or increase the electron density to cause a crossing of the two $N=0$ Landau levels of these subbands and with opposite spins. Near the…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Yang Liu , S. Hasdemir , J. Shabani , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Coulomb effects on the edge states of a two dimensional electron gas in the presence of a high magnetic field are studied for different widths of the boundaries. Schr\"odinger and Poisson equations are selfconsistently solved in the integer…

Condensed Matter · Physics 2009-10-22 L. Brey , J. J. Palacios , C. Tejedor

The systems exhibiting quantum phase transitions (QPT) are investigated within the Ising model in the transverse field and Heisenberg model with easy-plane single-site anisotropy. Near QPT a correspondence between parameters of these models…

Condensed Matter · Physics 2009-10-31 V. Yu. Irkhin , A. A. Katanin

We study spin and valley ordering in the quantum Hall fractions in monolayer graphene at Landau level filling factors $\nu_G=-2+n/3$ $(n=2,4,5)$. We use exact diagonalizations on the spherical as well as toroidal geometry by taking into…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 Ngoc Duc Le , Thierry Jolicoeur

Valley-polarized quantum Hall states in graphene are described by a Heisenberg O(3) ferromagnet model, with the ordering type controlled by the strength and sign of valley anisotropy. A mechanism resulting from electron coupling to…

Mesoscale and Nanoscale Physics · Physics 2008-04-14 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

Using transport measurements, we investigate multicomponent quantum Hall (QH) ferromagnetism in dual-gated rhombohedral trilayer graphene (r-TLG), in which the real spin, orbital pseudospin and layer pseudospins of the lowest Landau level…

Mesoscale and Nanoscale Physics · Physics 2016-01-19 Y. Lee , D. Tran , K. Myhro , J. Velasco , N. Gillgren , J. M. Poumirol , D. Smirnov , Y. Barlas , C. N. Lau

At very large tilt of the magnetic (B) field with respect to the plane of a two-dimensional electron system the transport in the integer quantum Hall regime at $\nu$ = 4, 6, and 8 becomes strongly anisotropic. At these filling factors the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. Pan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

A comprehensive theory of the quantum phase transition in clean, itinerant Heisenberg ferromagnets is presented. It is shown that the standard mean-field description of the transition is invalid in spatial dimensions $d\leq 3$ due to the…

Statistical Mechanics · Physics 2009-11-07 T. R. Kirkpatrick , D. Belitz

The quantum Hall system can be used to study many-body physics owing to its multiple internal electronic degrees of freedom and tunability. While quantum phase transitions have been studied intensively, research on the temperature-induced…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Miuko Tanaka , Kenji Watanabe , Takashi Taniguchi , Kentaro Nomura , Seigo Tarucha , Michihisa Yamamoto

The cross-over from quasi-two- to quasi-one-dimensional electron transport subject to transverse electric fields and perpendicular magnetic fields are studied in the diffusive to quasiballistic and zero-field to quantum Hall regime.…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Olivio Chiatti , Johannes Boy , Christian Heyn , Wolfgang Hansen , Saskia F. Fischer

Magnetotransport measurements on two-dimensional electrons confined to wide GaAs quantum wells reveal a remarkable evolution of the ground state at filling factor $\nu=1/2$ as we tilt the sample in the magnetic field. Starting with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-08 Sukret Hasdemir , Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

Reports of weak local minima in the magnetoresistance at $\nu=2+3/5$, $2+3/7$, $2+4/9$, $2+5/9$, $2+5/7$, and $2+5/8$ in the second Landau level of the electron gas in GaAs/AlGaAs left open the possibility of fractional quantum Hall states…

Strongly Correlated Electrons · Physics 2018-06-27 V. Shingla , E. Kleinbaum , A. Kumar , L. N. Pfeiffer , K. W. West , G. A. Csathy

Recent experiments suggest that low carrier density three-dimensional (3D) metals ZrTe$_5$ and HfTe$_5$ exhibit the 3D quantum Hall (QH) effect with Hall resistivity plateaus and a metal-insulator transition in strong magnetic fields. The…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Kaiyuan Gu , Kai Torrens , Biao Lian

The quantum phase transition between paramagnetic and antiferromagnetic phases of the Kondo lattice model with Ising anisotropy in the intersite exchange is studied within the framework of extended dynamical mean-field theory.…

Strongly Correlated Electrons · Physics 2007-12-03 Matthew T. Glossop , Kevin Ingersent

We have analyzed the effects of the anisotropic energy bands of phosphorene on magnetoroton branches for electrons and holes in the two Landau levels close to the band edges. We have found that the fractional quantum Hall effect gap in the…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Areg Ghazaryan , Tapash Chakraborty

The quantum Hall effect near the charge neutrality point in bilayer graphene is investigated in high magnetic fields of up to 35 T using electronic transport measurements. In the high field regime, the eight-fold degeneracy in the zero…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. Zhao , P. Cadden-Zimansky , Z. Jiang , P. Kim

We study a $Al_{x}Ga_{x-1}As$ parabolic quantum wells (PQW) with $GaAs/Al_{x}Ga_{x-1}As$ square superlattice. The magnetotransport in PQW with intentionally disordered short-period superlattice reveals a surprising transition from electrons…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 G. M. Gusev , Yu. A. Pusep , A. K. Bakarov , A. I. Toropov , J. C. Portal

Quantum Hall states at filling fraction $\nu$=5/2 are examined by numerical diagonalization. Spin-polarized and -unpolarized states of systems with $N\le 18$ electrons are studied, neglecting effects of Landau level mixing. We find that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rudolf H. Morf

A low energy action for double-layer quantum Hall systems at filling fractions $\nu = 2/m$ ($m$ an odd integer) is introduced. Interlayer antiferromagnetic exchange induces a phase with canted spin order, and also a spin-singlet phase.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Das Sarma , Subir Sachdev , Lian Zheng

We report on results of systematic numerical studies of two-dimensional electron gas systems subject to a perpendicular magnetic field, with a high Landau level partially filled by electrons. Our results are strongly suggestive of a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. D. M. Haldane , E H. Rezayi , Kun Yang