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We argue that, due to the specific form of the interaction potential between electronic guiding centers, a bubble crystal (BC) with basis may be energetically more favorable than the usual bubble solid. This new BC has well-defined normal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. M. Ettouhami , F. D. Klironomos , A. T. Dorsey

The 2D system of electron confined to the lowest Landau level is described using a representation of the density matrix depending both on electron and hole coordinates. Condensation of the electron system into a fractional quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 P. Beran

It is demonstrated that all observed fractions at moderate Landau level fillings for the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility to have the special…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. V. Iordanski

The discovery of topological states of matter has profoundly augmented our understanding of phase transitions in physical systems. Instead of local order parameters, topological phases are described by global topological invariants and are…

We present a microscopic theory for the recently observed reentrant integral quantum Hall effect in the n=1 and n=2 Landau levels. Our energy investigations indicate an alternating sequence of M-electron-bubble and quantum-liquid ground…

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

We study the localization properties in the transition from a two-dimensional electron gas at zero magnetic field into an integer quantum Hall (QH) liquid. By carrying out a direct calculation of the localization length for a finite size…

Condensed Matter · Physics 2009-10-28 D. Z. Liu , X. C. Xie , Q. Niu

An electron inside liquid helium forms a bubble of 17 \AA in radius. In an external magnetic field, the two-level system of a spin 1/2 electron is ideal for the implementation of a qubit for quantum computing. The electron spin is well…

Other Condensed Matter · Physics 2007-05-23 Weijun Yao

It is demonstrated that all observed fractions at moderate Landau level fillings in the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility to have the special…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. V. Iordanski

We investigate a gapped two-dimensional nodal-line semimetal subjected to a perpendicular magnetic field. We identify an unusual pattern for Landau levels, where the energy of Landau levels first decreases and then starts increasing versus…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Shahin Barati , Hamid Rahimpoor , Saeed H. Abedinpour

The spectrally resolved Terahertz photoconductivity between two separately contacted edge-channels of a two-dimensional electron gas in the quantum Hall regime is investigated. We use a not-simply-connected sample geometry which is…

Mesoscale and Nanoscale Physics · Physics 2011-08-11 Christian Notthoff , Dirk Reuter , Andreas Wieck , Axel Lorke

Using an innovative combination of a quasi-Corbino sample geometry and the cross-gate technique, we have developed a method that enables us to separately contact single edge channels in the quantum Hall regime and investigate equilibration…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. Wuertz , R. Wildfeuer , A. Lorke , E. V. Deviatov , V. T. Dolgopolov

A system of electrons in two dimensions and strong magnetic fields can be tuned to create a gapped 2D system with one dimensional channels along the edge. Interactions among these edge modes can lead to independent transport of charge and…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Vivek Venkatachalam , Sean Hart , Loren Pfeiffer , Ken West , Amir Yacoby

We study the formation and characteristics of "spin droplets",i.e., compact spin-polarized configurations in the highest occupied Landau level, in an etched quantum Hall device at filling factors $2\leq\nu\leq3$. The confining potential for…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 H. Atci , U. Erkarslan , A. Siddiki , E. Rasanen

When a three-dimensional electron gas is subjected to a very strong magnetic field, it can reach a quasi-one-dimensional state in which all electrons occupy the lowest Landau level. This state is referred to as the extreme quantum limit…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 M. Sammon , Han Fu , B. I. Shklovskii

We present measurements of momentum-resolved magneto-tunneling from a perpendicular two-dimensional (2D) contact into integer quantum Hall (QH) edges at a sharp edge potential created by cleaved edge overgrowth. Resonances in the tunnel…

Condensed Matter · Physics 2009-11-10 M. Huber , M. Grayson , D. Schuh , M. Bichler , W. Biberacher , W. Wegscheider , G. Abstreiter

Photocurrent acts as one of measurable responses of material to light, which has proved itself to be crucial for sensing and energy harvesting. Topological semimetals with gapless energy dispersion and abundant topological surface and bulk…

Mesoscale and Nanoscale Physics · Physics 2023-04-21 Po-Hsin Shih , Thi-Nga Do , Godfrey Gumbs , Danhong Huang , Hsin Lin , Tay-Rong Chang

We use a scanning capacitance probe to image transport in the quantum Hall system. Applying a DC bias voltage to the tip induces a ring-shaped incompressible strip (IS) in the 2D electron system (2DES) that moves with the tip. At certain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. A. Steele , R. C. Ashoori , L. N. Pfeiffer , K. W. West

We demonstrate an innovative quantum Hall circuit with variable geometry employing the moveable electrostatic potential induced by a biased atomic force microscope tip. We exploit this additional degree of freedom to identify the…

The disordered potential landscape in an InGaAs/InAlAs two-dimensional electron gas patterned into narrow wires is investigated by means of scanning gate microscopy. It is found that scanning a negatively charged tip above particular sites…

Mesoscale and Nanoscale Physics · Physics 2015-03-02 P. Liu , F. Martins , B. Hackens , L. Desplanque , X. Wallart , M. G. Pala , S. Huant , V. Bayot , H. Sellier

We analyze tunneling of non-Abelian quasiparticles between the edges of a quantum Hall droplet at Landau level filling fraction nu=5/2, assuming that the electrons in the first excited Landau level organize themselves in the non-Abelian…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak
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