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When the motion of electrons is restricted to a plane under a perpendicular magnetic field B, a variety of quantum phases emerge at low temperatures whose properties are dictated by the Coulomb interaction and its interplay with disorder.…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 L. Tiemann , T. D. Rhone , N. Shibata , K. Muraki

The two-dimensional quantum ferromagnet filled with a liquid of skyrmions is studied theoretically in the context of the quantum Hall effect near electronic filling factor $\nu = 1$. A cross-over between the classical ferromagnetic phase at…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 J. P. Rodriguez

The 2-- to 1--dimensional crossover of the localisation length of electrons confined to a disordered quantum wire of finite width $L_y$ is studied in a model of electrons moving in the potential of uncorrelated impurities. An analytical…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Kettemann

In the composite fermion model of the fractional quantum Hall effect, composite fermions experience, in addition to the usual potential disorder, also a magnetic flux disorder. Motivated by this, we investigate the localization properties…

Condensed Matter · Physics 2015-06-25 X. C. Xie , D. Z. Liu , J. K. Jain

We report the application of the nonlinear $\sigma$ model to study the multi-skyrmion problem in the quantum Hall ferromagnet system. We make use of a first-principle calculation to derive an analytical form for the inter-skyrmionic…

Condensed Matter · Physics 2015-06-25 M. Abolfath , M. R. Ejtehadi

The stability of magnetic skyrmions against thermal fluctuations and external perturbations is investigated within the framework of harmonic transition state theory for magnetic degrees of freedom. The influence of confined geometry and…

Materials Science · Physics 2018-12-26 Valery M. Uzdin , Maria N. Potkina , Igor S. Lobanov , Pavel F. Bessarab , Hannes Jónsson

Skyrmions are particle-like topological textures that hold great promise for low-power electronics and wave-based functionalities. Yet their utility is hindered by the lack of robust and controllable transport. Here, we show that band…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Lei Liu , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen

I consider skyrmionic states in non-centrosymmetric magnets near the ordering temperatures. I show that the interaction between the chiral skyrmions, being repulsive in a broad temperature range, changes into attraction at high…

Strongly Correlated Electrons · Physics 2016-11-25 Andriy O. Leonov

The flow of electric current through a two-dimensional material in a magnetic field gives rise to the family of Hall effects. The quantum versions of these effects accommodate robust electronic edge channels and fractional charges.…

Strongly Correlated Electrons · Physics 2023-09-21 Robert Peters , Jannis Neuhaus-Steinmetz , Thore Posske

Experiments on a nearly spin degenerate two-dimensional electron system reveals unusual hysteretic and relaxational transport in the fractional quantum Hall effect regime. The transition between the spin-polarized (with fill fraction $\nu =…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. Eom , H. Cho , W. Kang , K. L. Campman , A. C. Gossard , M. Bichler , W. Wegscheider

Reliable transport of magnetic skyrmions is required for any future skyrmion-based information processing devices. Here we present a micromagnetic study of the in-plane current-driven motion of a skyrmion in a ferromagnetic nanotrack with…

Mesoscale and Nanoscale Physics · Physics 2017-02-21 Xichao Zhang , Jing Xia , G. P. Zhao , Xiaoxi Liu , Yan Zhou

We report that the rate of field sweep is important for the observation of the zeroes in the transverse resistivity in the quantum Hall effect. The resistivity also shows resonances at the nuclear magnetic resonance (NMR) frequencies when…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We report measurements of the bulk magnetic susceptibility and ^{29}Si nuclear magnetic resonance (NMR) linewidth in the heavy-fermion alloy CeRhRuSi_2. The linewidth increases rapidly with decreasing temperature and reaches large values at…

Strongly Correlated Electrons · Physics 2009-10-31 Chia-Ying Liu , D. E. MacLaughlin , A. H. Castro Neto , H. G. Lukefahr , J. D. Thompson , J. L. Sarrao , Z. Fisk

The magnetization field of a quantum Hall ferromagnet (QHFM) can host a variety of spin textures, including skyrmions and magnons. When projected into the lowest Landau level with $\nu = 1$ filling, the topological (Pontryagin) charge…

Mesoscale and Nanoscale Physics · Physics 2026-03-05 Alexander Canright , Deepak Iyer , Matthew S. Foster

The melting and magnetic disordering of the skyrmion lattice in the quantum Hall system at filling factor $\nu\approx 1$ are studied. A Berezinskii-Kosterlitz-Thouless renormalization group theory is employed to describe the coupled…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Carsten Timm , S. M. Girvin , H. A. Fertig

Detection and characterization of a different type of topological excitations, namely the domain wall (DW) skyrmion, has received increasing attention because the DW is ubiquitous from condensed matter to particle physics and cosmology.…

Mesoscale and Nanoscale Physics · Physics 2021-10-18 Kaifeng Yang , Katsumi Nagase , Yoshiro Hirayama , Tetsuya D. Mishima , Michael B. Santos , Hongwu Liu

We study the distribution of local magnetic susceptibilities in the two-dimensional antiferromagnetic S=1/2 Heisenberg model on various random clusters, in order to determine whether effects of edge disorder could be detected in NMR…

Strongly Correlated Electrons · Physics 2010-10-13 Wanzhou Zhang , Wenan Guo , Kaj H Hoglund , Ling Wang , Anders W. Sandvik

We demonstrate a novel approach to control and stabilize magnetic skyrmions in ultrathin multilayer nanostructures through spatially engineered magnetostatic fields generated by ferromagnetic nanorings. Using analytical modeling and…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Mateusz Zelent , Maciej Krawczyk , Konstantin Y. Guslienko

Magnetic skyrmions are knot-like quasiparticles. They are candidates for non-volatile data storage in which information is moved between fixed read and write terminals. Read-out operation of skyrmion-based spintronic devices will rely upon…

We present fractional quantum Hall domain walls confined in a gate-defined wire structure. Our experiments utilize spatial oscillation of domain walls driven by radio frequency electric fields to cause nuclear magnetic resonance. The…

Mesoscale and Nanoscale Physics · Physics 2016-03-11 S. Miyamoto , T. Miura , S. Watanabe , K. Nagase , Y. Hirayama