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We studied the weak field Hall voltage in 2D electron layers in Si-MOS structures with different mobilities, through the metal-insulator transition. In the vicinity of the critical density on the metallic side of the transition, we have…

Strongly Correlated Electrons · Physics 2009-10-31 V. M. Pudalov , G. Brunthaler , A. Prinz , G. Bauer

Kitaev physics has recently attracted attention in condensed matter for its anticipated novel quantum spin liquid state. The thermal transport measurement is crucial for probing the novel features of charge-neutral quasiparticles. In this…

Experimental studies of the antiferromagnetic (AF) heavy fermion metal $\rm YbRh_2Si_2$ in a magnetic field $B$ indicate the presence of a jump in the Hall coefficient at a magnetic-field tuned quantum state in the zero temperature limit.…

Strongly Correlated Electrons · Physics 2009-11-11 V. R. Shaginyan , K. G. Popov , S. A. Artamonov

An integer Quantum Hall effect transition is studied in a modulation doped p-SiGe sample. In contrast to most examples of such transitions the longitudinal and Hall conductivities at the critical point are close to 0.5 and 1.5 (e^2/h), the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. T. Coleridge

In a recent paper [Phys.Rev.B.\textbf{84}, 161307 (2011)], experimental data on spin splitting in the integer quantum Hall effect has been reported in a high mobility dilute 2D electron gas with electron density as low as 0.2 $\times$…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 B. A. Piot , D. K. Maude

We investigate the relationship between the quantum Hall extended states and the apparent B=0 `metal'-insulator transition in extremely low density, high quality two-dimensional n-GaAs systems (\mu_{peak} ~ 2 x 10^7 cm^2/Vs). The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. E. Yasin , M. Y. Simmons , A. R. Hamilton , N. E. Lumpkin , R. G. Clark , L. N. Pfeiffer , K. W. West

An effective field theoretic description of $\nu=1$ bilayer electron systems stabilized by Coulomb repulsion in a single wide quantum well is examined using renormalization group techniques. The system is found to undergo a crossover from a…

Condensed Matter · Physics 2009-10-31 M. Abolfath , Ramin Golestanian , T. Jungwirth

The phase diagram of integer quantum Hall effect is numerically determined in the tight-binding model, which can account for overall features of recently obtained experimental phase diagram. In particular, the quantum Hall plateaus are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. N. Sheng , Z. Y. Weng

We study the quantum Hall effect of 2D electron gas in black phosphorus in the presence of perpendicular electric and magnetic fields. In the absence of a bias voltage, the external magnetic field leads to a quantization of the energy…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Shengjun Yuan , Edo van Veen , Mikhail I. Katsnelson , Rafael Roldán

We measured the magnetoresistance of bilayer quantum Hall (QH) effects at the fractional filling factor $\nu =2/3$ by changing the total electron density and the density difference between two layers. Three different QH states were…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Kumada , D. Terasawa , Y. Shimoda , H. Azuhata , A. Sawada , Z. F. Ezawa , K. Muraki , T. Saku , Y. Hirayama

Experiments studying renormalization group flows in the quantum Hall system provide significant evidence for the existence of an emergent holomorphic modular symmetry $\Gamma_0(2)$. We briefly review this evidence and show that, for the…

Strongly Correlated Electrons · Physics 2015-05-19 C. A. Lütken , G. G. Ross

The critical behavior of quantum Hall transitions in two-dimensional disordered electronic systems can be described by a class of complicated, non-unitary conformal field theories with logarithmic correlations. The nature and the physical…

Disordered Systems and Neural Networks · Physics 2015-07-16 Romain Vasseur

The physics of the fractional quantum Hall effect is the physics of interacting electrons confined to a macroscopically degenerate Landau level. In this Chapter we discuss the theory of the quantum Hall effect in systems where the electrons…

Condensed Matter · Physics 2007-05-23 S. M. Girvin , A. H. MacDonald

A quantum phase transition arises from competition between different ground states and is typically accessed by varying a single physical parameter near absolute zero temperature. The quantum anomalous Hall (QAH) effect with high Chern…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Ling-Jie Zhou , Deyi Zhuo , Ruobing Mei , Yi-Fan Zhao , Kaijie Yang , Ruoxi Zhang , Zijie Yan , Han Tay , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

Temperature-driven metal-insulator and pressure-driven insulator-metal transitions observed in(BEDT-TTF)8[Hg4X12(C6H5Y)2]] with X = Y = Br are studied through band structure calculations based on X-ray crystal structure determination and…

We study the possible phase transitions between (2+1)-dimensional abelian Chern-Simons theories. We show that they may be described by non-unitary rational conformal field theories with c_eff = 1. As an example we choose the fractional…

High Energy Physics - Theory · Physics 2008-02-03 Michael Flohr

We examine the effect of disorder on the electromagnetic response of quantum Hall stripes using an effective elastic theory to describe their low-energy dynamics, and replicas and the Gaussian variational method to handle disorder effects.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Meirong Li , H. A. Fertig , R. Cote , Hangmo Yi

Intrinsic magnetic topological insulators offer low disorder and large magnetic bandgaps for robust magnetic topological phases operating at higher temperatures. By controlling the layer thickness, emergent phenomena such as the Quantum…

Two recent experiments [I. P. Radu et al., Science 320, 899 (2008) and X. Lin et al., Phys. Rev. B 85, 165321 (2012)] measured the temperature and voltage dependence of the quasiparticle tunneling through a quantum point contact in the \nu=…

Mesoscale and Nanoscale Physics · Physics 2013-08-28 Guang Yang , D. E. Feldman

The interfaces of quantum Hall insulators with superconductors have emerged as a promising platform to realise interesting physics that may be relevant for topologically protected quantum computing. However, these interfaces can host other…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Jordan T. McCourt , John Chiles , Chun-Chia Chen , Kenji Watanabe , Takashi Tanaguchi , Francois Amet , Gleb Finkelstein