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The electronic properties of non-interacting particles moving on a two-dimensional bricklayer lattice are investigated numerically. In particular, the influence of disorder in form of a spatially varying random magnetic flux is studied. In…

Disordered Systems and Neural Networks · Physics 2009-12-22 L. Schweitzer

It is well known that in two spatial dimensions the fractional quantum Hall effect (FQHE) deals with point-like anyons that carry fractional electric charge and statistics. Moreover, in presence of a SO(3) order parameter, point-like…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 Giandomenico Palumbo

Electron spin-momentum locking together with background magnetic textures can significantly alter the electron transport properties. We theoretically investigate the electron transport at the interface between a topological insulator and a…

Mesoscale and Nanoscale Physics · Physics 2017-10-13 Yasufumi Araki , Kentaro Nomura

Based on the self-consistent $T$-matrix approximation, the quantum interference (QI) effect is studied with the diagrammatic technique in weakly-disordered two-dimensional crystals with nearly half-filled bands. In addition to the usual…

Superconductivity · Physics 2009-11-07 Y. H. Yang , D. Y. Xing , Y. G. Wang , M. Liu

Control and understanding of ensembles of skyrmions is important for realization of future technologies. In particular, the order-disorder transition associated with the 2D lattice of magnetic skyrmions can have significant implications for…

The fractional quantum Hall effect has inspired searches for exotic emergent topological particles, such as fractionally charged excitations, composite fermions, abelian and nonabelian anyons and Majorana fermions. Fractionally charged…

Strongly Correlated Electrons · Physics 2015-11-30 Ajit C. Balram , U. Wurstbauer , A. Wójs , A. Pinczuk , J. K. Jain

We examine the ordering of skyrmions interacting with a square substrate created from a modulation of anisotropy using atomistic simulations. We consider fillings of {\it f} = 1.5, 2.0, 2.5, 3.0, and 3.5 skyrmions per potential minimum as a…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 J. C. Bellizotti Souza , C. J. O. Reichhardt , C. Reichhardt , N. P. Vizarim , P. A. Venegas

Among the various geometries to study the fractional quantum Hall effect in two dimensional electron gas, the Corbino disc owns the advantage to probe the bulk properties directly. In this work we explore the influence of in-plane electric…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Zheyi Zhu , Pengjie Wang , Hailong Fu , L. N. Pfeiffer , K. W. West , Rui-Rui Du , Xi Lin

Spin splitting in the integer quantum Hall effect is investigated for a series of Al$_{x}$Ga$_{1-x}$As/GaAs heterojunctions and quantum wells. Magnetoresistance measurements are performed at mK temperature to characterize the electronic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. A. Piot , D. K. Maude , M. Henini , Z. R. Wasilewski , K. J. Friedland , R. Hey , K. H. Ploog , A. I. Toropov , R. Airey , G. Hill

We calculate the energies of quasiparticles with large numbers of reversed spins (``skyrmions'') for odd integer filling factors 2k+1, k is greater than or equals 1. We find, in contrast with the known result for filling factor equals 1 (k…

Condensed Matter · Physics 2016-08-31 X. -G. Wu , S. L. Sondhi

We explore different skyrmion types in the lowest Landau level of graphene at a filling factor $\nu=\pm 1$. In addition to the formation of spin and valley pseudospin skyrmions, we show that another type of spin-valley entangled skyrmions…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Yunlong Lian , Achim Rosch , Mark O. Goerbig

We consider the influence of an external periodic potential on the fractional quantum Hall effect of two-dimensional interacting electron systems. For many electrons on a torus, we find that the splitting of incompressible ground state…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Daniela Pfannkuche , Allan H. MacDonald

Magnetic skyrmions are topologically protected whirling spin textures that can be stabilized in magnetic materials in which a chiral interaction is present. Their limited size together with their robustness against the external…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Davide Maccariello , William Legrand , Nicolas Reyren , Karin Garcia , Karim Bouzehouane , Sophie Collin , Vincent Cros , Albert Fert

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 studies have demonstrated that skyrmionic states can be the ground state in thin-film FeGe disk nanostructures in the absence of a stabilising applied magnetic field. In this work, we advance this understanding by investigating to…

The possibility that disorder may stabilize a superfluid phase of para-hydrogen in two dimensions is investigated theoretically by means of Quantum Monte Carlo simulations. We model disorder using a random distribution of scatterers, and…

Other Condensed Matter · Physics 2008-10-15 Joseph Turnbull , Massimo Boninsegni

The spectral properties of a disordered electronic system at the metal-insulator transition point are investigated numerically. A recently derived relation between the anomalous diffusion exponent $\eta$ and the spectral compressibility…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Rochus Klesse , Marcus Metzler

At low temperatures the phase diagram for the quantum Hall effect has a powerful symmetry arising from the Law of Corresponding States. This symmetry gives rise to an infinite order discrete group which is a generalisation of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Brian P. Dolan

Partial disorder --the microscopic coexistence of long-range magnetic order and disorder-- is a rare phenomenon, that has been experimental and theoretically reported in some Ising- or easy plane-spin systems, driven by entropic effects at…

Strongly Correlated Electrons · Physics 2019-01-09 M. G. Gonzalez , F. T. Lisandrini , G. G. Blesio , A. E. Trumper , C. J. Gazza , L. O. Manuel

The single-particle energy spectrum of a two-dimensional electron gas in a perpendicular magnetic field consists of equally-spaced spin-split Landau levels, whose degeneracy is proportional to the magnetic field strength. At integer and…

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