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The energy of Skyrmions is calculated with the help of a technique based on the excitonic representation: the basic set of one-exciton states is used for the perturbation-theory formalism instead of the basic set of one-particle states. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Dickmann

Composite fermion metal states emerge in quantum Hall bilayers at total Landau level filling factor $\nu_T$=1 when the tunneling gap collapses by application of in-plane components of the external magnetic field. Evidence of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Biswajit Karmakar , Stefano Luin , Vittorio Pellegrini , Aron Pinczuk , Brian S. Dennis , Loren N. Pfeiffer , Ken W. West

We apply the magneto-roton theory of the fractional quantum Hall effect to study the collective excitation spectrum of rotating dipolar Fermi gases. The predicted spectrum has a finite energy gap in the long wavelength limit and a roton…

Mesoscale and Nanoscale Physics · Physics 2008-08-22 Szu-Cheng Cheng

The spin-excitations of a fractional quantum Hall system are evaluated within a bosonization approach. In a first step, we generalize Murthy and Shankar's Hamiltonian theory of the fractional quantum Hall effect to the case of composite…

Materials Science · Physics 2007-05-23 R. L. Doretto , M. O. Goerbig , P. Lederer , A. O. Caldeira , C. Morais Smith

A scenario of quantum computing process based on the manipulation of a large number of nuclear spins in Quantum Hall (QH) ferromagnet is presented. It is found that vacuum quantum fluctuations in the QH ferromagnetic ground state at filling…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Maniv , Yu. A. Bychkov , I. D. Vagner , P. Wyder

The quantum Hall regime in a smooth random potential is considered when two disorder-broadened Zeeman levels overlap strongly. Spin-orbit coupling is found to cause a drastic change in the percolation network which leads to a strong…

Condensed Matter · Physics 2016-08-31 D. G. Polyakov , M. E. Raikh

A field theory of quantum Hall effects is constructed based on the \CB picture. 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 2007-05-23 Z. F. Ezawa

Magnetic skyrmions are particle-like topological excitations in ferromagnets, which have the topological number $Q=\pm 1$, and hence show the skyrmion Hall effect (SkHE) due to the Magnus force effect originating from the topology. Here, we…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 Xichao Zhang , Yan Zhou , Motohiko Ezawa

We analyze bilayer quantum Hall ferromagnets, whose underlying symmetry group is SU(4). Spin-pseudospin coherence develops spontaneously when the total electron density is low enough. Quasiparticles are CP^3 skyrmions. One skyrmion induces…

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

We propose an improved composite-boson theory of quantum Hall ferromagnets, where the field operator describes solely the physical degrees of freedom representing the deviation from the ground state. In this scheme skyrmions appear merely…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 Z. F. Ezawa

When magnetic skyrmions are moved via currents, they do not strictly travel along the path of the current, instead their motion also gains a transverse component. This so-called skyrmion Hall effect can be detrimental in potential skyrmion…

Mesoscale and Nanoscale Physics · Physics 2022-01-27 Jonas Spethmann , Elena Y. Vedmedenko , Roland Wiesendanger , André Kubetzka , Kirsten von Bergmann

The low energy charged excitations in quantum Hall ferromagnets are topological defects in the spin orientation known as skyrmions. Recent experimental studies on nuclear magnetic resonance spectral line shapes in quantum well…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jairo Sinova , S. M. Girvin , T. Jungwirth , K. Moon

Spin-wave excitation mode from the spin-polarized ground state in the fractional quantum Hall liquid with odd fractions ($\nu=1/3,1/5$) numerically obtained by the exact diagonalization of finite systems is shown to be accurately described,…

Condensed Matter · Physics 2009-10-22 T. Nakajima , H. Aoki

We study intersubband spin density collective modes in double-layer quantum Hall systems at $\nu=2$ within the time-dependent Hartree-Fock approximation. We find that these intersubband spin density excitations may soften under…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Lian Zheng , R. J. Radtke , S. Das Sarma

We report on an absolute measurement of the electronic spin polarization of the $\nu=1$ integer quantum Hall state. The spin polarization is extracted in the vicinity of $\nu=1$ (including at exactly $\nu=1$) via resistive NMR experiments…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 B. A. Piot , W. Desrat , D. K. Maude , D. Kazazis , A. Cavanna , U. Gennser

Using finite size calculations on the surface of a sphere we study the topological (skyrmion) excitation in quantum Hall system with spin degree of freedom at filling factors around $\nu=1$. In the absence of Zeeman energy, we find, in…

Condensed Matter · Physics 2009-10-28 X. C. Xie , Song He

We proposed a theory of quantum anomalous Hall effect in a flat-band ferromagnet on a two-dimensional (2D) decorated lattice with spin-orbit coupling. Free electrons on the lattice have dispersionless flat bands, and the ground state is…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 An Zhao , Shun-Qing Shen

We discuss the spin relaxation of a strongly correlated two-dimensional (2D) electron gas (2DEG) in the quantized Hall regime when the filling factor is close to an odd-integer. As the initial state we consider a coherent deviation of the…

Mesoscale and Nanoscale Physics · Physics 2008-04-28 S. Dickmann

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

We present a quantum field theoretical analysis of a $\nu = 1$ quantum Hall system when the effective Land\'e $g$ factor is small. We clearly demonstrate that the ground state of the system is ferromagnetic. We note that it is the short…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Rashmi Ray , Joan Soto