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We present an analytic microscopic theory showing that in a large class of spin-$\frac{1}{2}$ quasiperiodic quantum kicked rotors, a dynamical analog of the integer quantum Hall effect (IQHE) emerges from an intrinsic chaotic structure.…

Chaotic Dynamics · Physics 2016-02-10 Chushun Tian , Yu Chen , Jiao Wang

The quantum anomalous Hall effect (QAHE) that emerges under broken time-reversal symmetry in topological insulators (TI) exhibits many fascinating physical properties for potential applications in nano-electronics and spintronics. However,…

We propose that Hofstadter's butterfly accompanied by quantum Hall effect that is similar to those predicted to occur in 3D tight-binding systems by Koshino {\it et al.} [Phys. Rev. Lett. {\bf 86}, 1062 (2001)] can be realized in an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mikito Koshino , Hideo Aoki

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

Ultra-thin 3D topological insulators provide a stage to study the surface physics of such materials by minimizing the bulk contribution. Further, the experimentally verified snowflake like structure of the Fermi surface leads to a hexagonal…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Anirudha Menon , Debashree Chowdhury , Banasri Basu

The charged excitations in the system of the title are vortex-antivortex pairs in the spin-texture described in the theory by Yang et al which, in the commensurate phase, are bound together by a ``string''. It is shown that their excitation…

Condensed Matter · Physics 2016-08-31 N. Read

We report observations of collective gap excitations of the fractional quantum Hall (FQH) states at filling factors \nu=p/(2p+1) (p=integer), for 1/3 <= \nu <= 2/3, by inelastic light scattering. The collective gap energies at \nu= 1/3, 2/5…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Moonsoo Kang , A. Pinczuk , B. S. Dennis , M. A. Eriksson , L. N. Pfeiffer , K. W. West

We show that multiple point contacts on a barrier separating two laterally coupled quantum Hall fluids induce Aharonov-Bohm (AB) oscillations in the tunneling conductance. These quantum coherence effects provide new evidence for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Eun-Ah Kim , Eduardo Fradkin

We study the neutral excitations of fractional quantum Hall states in electronic systems of finite width where an external anisotropy is introduced by tilting the magnetic field. As in the isotropic case, the neutral collective excitation…

Strongly Correlated Electrons · Physics 2020-08-05 Kang Yang , Mark Goerbig , Benoît Douçot

Band-inverted electron-hole bilayers support quantum spin Hall insulator and exciton condensate phases. We investigate such a bilayer in an external magnetic field. We show that the interlayer correlations lead to formation of a helical…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 D. I. Pikulin , P. G. Silvestrov , T. Hyart

We analytically derived the effective two-body interaction for a finite thickness quantum Hall system with a harmonic perpendicular confinement and an in-plane magnetic field. The anisotropic effective interaction in the lowest Landau level…

Strongly Correlated Electrons · Physics 2017-11-29 Bo Yang , Ching Hua Lee , Chi Zhang , Zi-Xiang Hu

The ferromagnet-topological insulator-ferromagnet (FM-TI-FM) junction exhibits thermal and electrical quantum Hall effects. The generated Hall voltage and transverse temperature gradient can be controlled by the directions of magnetizations…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 A. L. Chudnovskiy , V. Kagalovsky

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

Using a mapping of a layered three-dimensional system with significant inter-layer tunneling onto a spin-Hamiltonian, the phase diagram in the strong magnetic field limit is obtained in the semi-classical approximation. This phase diagram,…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Yigal Meir

In twisted bilayer semiconductors with arbitrary twisting angles, a chiral excitonic system can arise from the interlayer electron-hole Coulomb exchange interaction (F\"{o}rster coupling) that hybridizes the anisotropic intralayer excitons…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Ci Li , Wang Yao

Certain insulating materials with strong spin-orbit coupling can conduct currents along their edges or surfaces. This phenomenon arises from the non-trivial topological properties of the electronic band-structure, and is somewhat similar to…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Tanja Duric , Zlatko Tesanovic

New low-lying excitations are observed by inelastic light scattering at filling factors $\nu=p/(\phi p \pm 1)$ of the fractional quantum Hall regime with $\phi=4$. Coexisting with these modes throughout the range $\nu \leq 1/3$ are $\phi=2$…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. F. Hirjibehedin , A. Pinczuk , B. S. Dennis , L. N. Pfeiffer , K. W. West

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

Double-layer quantum Hall systems possess interlayer phase coherence at sufficiently small layer separations, even without interlayer tunneling. When interlayer tunneling is present, application of a sufficiently strong in-plane magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 C. B. Hanna , A. H. MacDonald , S. M. Girvin

Spin-flip excitations in a quantum Hall electron system at fixed filling factor nu=2 are modelled and studied under conditions of a strong Coulomb interaction when the `Landau level mixing' is a dominant factor determining the excitation…

Strongly Correlated Electrons · Physics 2020-07-07 S. Dickmann , B. D. Kaysin