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We consider two-species of fermions in a rotating trap that interact via an s-wave Feshbach resonance, at total Landau level filling factor two (or one for each species). We show that the system undergoes a quantum phase transition from a…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Kun Yang , Hui Zhai

The third-rank tensor of the static spin Hall conductivity is investigated for two-dimensional (2D) topological insulators by electronic structure calculations. Its seeming quantization is numerically demonstrated for highly symmetric…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Filipe Matusalem , Lars Matthes , Jürgen Furthmüller , Marcelo Marques , Lara K. Teles , Friedhelm Bechstedt

The physics of the fractional quantum Hall effect is the physics of interacting electrons confined to a macroscopically degenerate Landau level. In this Chapter we discuss the theory of the quantum Hall effect in systems where the electrons…

Condensed Matter · Physics 2007-05-23 S. M. Girvin , A. H. MacDonald

We investigate the quantum Hall effect in a single Landau level in the presence of a square superlattice of $\delta$-function potentials. The interplay between the superlattice spacing $a_s$ and the magnetic length $\ell_B$ in clean system…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 Nilanjan Roy , Bo Peng , Bo Yang

To fully appreciate the impacts that the discovery of the quantum Hall effect had on electrical metrology, it may benefit the reader to cultivate a general understanding of the phenomenon. Two-dimensional electron systems can exhibit many…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Albert F. Rigosi

We study the emergence of the quantum spin Hall (QSH) states for the pseudo-gap (PG) phase of Bi2212 bilayer system, assumed to be D-density wave(DDW) ordered, starting with a strong Rashba spin-orbit coupling(SOC) armed, and the time…

Mesoscale and Nanoscale Physics · Physics 2022-05-31 Udai Prakash Tyagi , Kakoli Bera , Partha Goswami

How ferromagnetic phases emerge in itinerant systems is an outstanding problem in quantum magnetism. Here we consider a repulsive two-component Fermi gas confined in a two dimensional isotropic harmonic potential and subject to a large…

Quantum Gases · Physics 2016-04-13 Shang-Shun Zhang , Wu-Ming Liu , Han Pu

We calculate the spin-Hall conductivity of a disordered two-dimensional Rashba electron gas within the self-consistent Born approximation and for arbitrary values of the electron density, parametrized by the ratio $E_F /E_0$, where $E_F$ is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Grimaldi , E. Cappelluti , F. Marsiglio

A slanting magnetic field is usually used to realize a slight hybridization between the spin and orbital degrees of freedom in a semiconductor quantum dot, such that the spin is manipulable by an external oscillating electric field. Here we…

Mesoscale and Nanoscale Physics · Physics 2021-07-08 Rui Li

The scaling behavior of the quantum phase transition from an insulator to a quantum Hall plateau state has often been examined within systems realizing Landau levels. We study the topological transition in energy band models with nonzero…

Disordered Systems and Neural Networks · Physics 2014-04-30 Jerimie Priest , S. P. Lim , D. N. Sheng

In this work, we present the analytical solution of the effective mass Pauli equation, with Rashba and linear Dresselhaus interactions, for an electron gas moving through a semiconductor quantum dot under a longitudinal electric field,…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 J. L. Cardoso

Periodic in time spin-Hall current and spin polarization induced by a dc electric bias has been calculated in a superconductor-normal 2DEG-superconductor (SNS) Josephson junction. We assumed that the band energies of electrons in the normal…

Superconductivity · Physics 2015-05-27 A. G. Mal'shukov , C. S. Chu

Time-dependent capacitance measurements reveal an unstable phase of electrons in gallium arsenide quantum well that occurs when two Landau levels with opposite spin are brought close to degeneracy by applying a gate voltage. This phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Vincenzo Piazza , Vittorio Pellegrini , Fabio Beltram , Werner Wegscheider

We study the spin edge states, induced by the combined effect of spin-orbit interaction (SOI) and hard-wall confining potential, in a two-dimensional electron system, exposed to a perpendicular magnetic field. We find an exact solution of…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 V. L. Grigoryan , A. Matos Abiague , S. M. Badalyan

Physics of two-dimensional electron gases under perpendicular magnetic field often displays three distinct stages when increasing the field amplitude: a low field regime with classical magnetotransport, followed at intermediate field by a…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Thierry Champel , Serge Florens

Persistent, oscillatory charge and spin currents are shown to be driven by a two-component terahertz laser pulse in a one-dimensional mesoscopic ring with Rashba-Dresselhaus spin orbit interactions (SOI) linear in the electron momentum. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Marian Nita , Bogdan Ostahie , D. C. Marinescu , Andrei Manolescu , Vidar Gudmundsson

Non-equilibrium dynamics of strongly correlated systems constitutes a fascinating problem of condensed matter physics with many open questions. Here we investigate the relaxation dynamics of Landau-quantized electron system into spin-valley…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 T. Smoleński , K. Watanabe , T. Taniguchi , M. Kroner , A. Imamoğlu

The transversal propagation of the edge states in a two-dimensional quantum spin Hall system are classified by decay characteristic quantity $\lambda$. Two different modes of the helical edge states exhibit distinct behaviors. The…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 Feng Lu , Yuan Zhou , Jin An , Chang-De Gong

We discuss the relationship between the fractional quantum Hall effect in the vicinity of the thin-torus, a.k.a. Tao-Thouless (TT), limit and quantum spin chains. We argue that the energetics of fractional quantum Hall states in Jain…

Strongly Correlated Electrons · Physics 2012-01-24 Masaaki Nakamura , Zheng-Yuan Wang , Emil J. Bergholtz

We present magnetotransport measurements of a strongly hybridized inverted InAs/GaSb double quantum well. We find that the spin-orbit interaction leads to an appreciable spin-splitting of hole-like states, which form distinct Landau levels…