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We apply the theory of elasticity to study the effects of skyrmion mass on lattice dynamics in quantum Hall systems. We find that massive Skyrme lattices behave like a Wigner crystal in the presence of a uniform perpendicular magnetic…

Condensed Matter · Physics 2014-10-13 M. Abolfath , Kieran Mullen , H. T. C. Stoof

We have investigated the formation of spin textures at the edges of quantum Hall systems for several ferromagnetic filling factors. The textures are driven by the same physics that leads to ``skyrmions'' in the bulk. For hard confinement…

Condensed Matter · Physics 2009-10-28 A. Karlhede , S. A. Kivelson , K. Lejnell , S. L. Sondhi

Magnetic skyrmions offer promising prospects for constructing future energy-efficient and high-density information technology, leading to extensive explorations of new skyrmionic materials recently. The topological Hall effect has been…

The quantum geometry has significant consequences in determining transport and optical properties in quantum materials. Here, we use a semiclassical formalism coupled with perturbative corrections unifying the nonlinear anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2024-01-11 Daniel Kaplan , Tobias Holder , Binghai Yan

Magnetic skyrmions are nano-sized topologically non-trivial spin textures that can be moved by external stimuli such as spin currents and internal stimuli such as spatial gradients of a material parameter. Since the total energy of a…

Mesoscale and Nanoscale Physics · Physics 2023-11-08 Ismael Ribeiro de Assis , Ingrid Mertig , Börge Göbel

Transport measurements on two dimensional electron systems in moderate magnetic fields suggest the existence of a spontaneously orientationally-ordered, compressible liquid state. We develop and analyze a microscopic theory of such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Leo Radzihovsky , Alan T. Dorsey

Magnetic excitations in ferromagnetic systems with a noncollinear ground state magnetization experience a fictitious magnetic field due to the equilibrium magnetic texture. Here, we investigate how such fictitious fields lead to thermal…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Kevin A. van Hoogdalem , Yaroslav Tserkovnyak , Daniel Loss

We review the theoretical and the experimental aspects regarding the quantification and identification of quantum correlations in liquid-state nuclear magnetic resonance (NMR) systems at room temperature. We start by introducing a formal…

We observe variation in the resistively-detected nuclear magnetic resonance (RDNMR) lineshapes in quantum Hall breakdown. The breakdown is locally occurred in a gate-defined quantum point contact (QPC) region. Of particular interest is the…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 M. H. Fauzi , A. Singha , M. F. Sahdan , M. Takahashi , K. Sato , K. Nagase , B. Muralidharan , Y. Hirayama

A new framework for quantum Hall skyrmions in O(4) nonlinear sigma model is studied here. The size and energy of the skyrmions are determined incorporating the quartic stability term in the Lagrangian. Moreover, the introduction of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Basu , S. Dhar , P. Bandyopadhyay

An improved composite-boson theory of quantum Hall ferromagnets is proposed. It is tightly related with the microscopic wave-function theory. The characteristic feature is that the field operator describes solely the physical degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Z. F. Ezawa , K. Sasaki

Resistively Detected Nuclear Magnetic Resonance (RD-NMR) has been used to investigate a two-subband electron system in a regime where quantum Hall pseudo-spin ferromagnetic (QHPF) states are prominently developed. It reveals that the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 G. P. Guo , Y. J. Zhao , T. Tu , X. J. Hao , G. C. Guo , H. W. Jiang

Motivated by recent high-resolution scanning tunneling microscopy (STM) experiments in the quantum Hall regime both on massive two-dimensional electron gas and on graphene, we consider theoretically the disorder averaged nonlocal…

Mesoscale and Nanoscale Physics · Physics 2011-04-04 T. Champel , S. Florens , M. E. Raikh

Skyrmions, which are topologically stable magnetic structures, have manifested promising features to be used as an information carrier in new-age, non-volatile data storage devices. In this article, Co/Pt square nano-structure with Co-free…

Materials Science · Physics 2025-01-23 Tamali Mukherjee , V Satya Narayana Murthy

We study the effects of disorder in two-dimensional quantum antiferromagnets on a square lattice, within the nonlinear sigma model approach, by using of a random distribution of spin stiffnesses or zero-temperature-spin-gaps, respectively,…

Condensed Matter · Physics 2007-05-23 C. M. S. Conceicao , E. C. Marino

Magnetic skyrmions are two-dimensional non-collinear spin textures characterised by an integer topological number. They commonly crystallise at low temperatures in bulk noncentrosymmetric ferromagnets where the lack of inversion symmetry…

A magnetic skyrmion is a topological object consisting of an inner domain, an outer domain, and a wall that separates the two domains. The skyrmion size and wall width are two fundamental quantities of a skyrmion that depend sensitively on…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 X. S. Wang , H. Y. Yuan , X. R. Wang

We report on a microscopic theory of the Skyrmion states which occur in the quantum Hall regime. The theory is based on the identification of Skyrmion states in this system with zero-energy eigenstates of a hard-core model Hamiltonian. We…

Condensed Matter · Physics 2009-10-28 A. H. MacDonald , H. A. Fertig , Luis Brey

We numerically study the interacting quantum Hall skyrmion system based on the Chern-Simons action. By noticing that the action is invariant under global spin rotations in the spin space with respect to the magnetic field direction, we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Moon , K. Mullen

In a quantum Hall ferromagnet, the spin polarization of the two-dimensional electron system can be dynamically transferred to nuclear spins in its vicinity through the hyperfine interaction. The resulting nuclear field typically acts back…