English
Related papers

Related papers: Jain hierarchy for the Fractional Quantum Hall Eff…

200 papers

We observe fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu=1/2$ in two-dimensional hole systems confined to GaAs quantum wells of width 30 to 50 nm and having bilayer-like charge distributions.…

Mesoscale and Nanoscale Physics · Physics 2014-09-30 Yang Liu , A. L. Graninger , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler

We present improved wave functions for the ground state, Laughlin quasihole and quasiparticle excitations of the fractional quantum Hall effect. These depend explicitly on the effective strength of Coulomb interaction and reproduce…

Condensed Matter · Physics 2009-10-22 O. J. Kwon , B. -H. Lee , S. -J. Sin

An important development in the field of the fractional quantum Hall effect has been the proposal that the 5/2 state observed in the Landau level with orbital index $n = 1$ of two dimensional electrons in a GaAs quantum well originates from…

Mesoscale and Nanoscale Physics · Physics 2019-10-25 Youngwook Kim , Ajit C. Balram , Takashi Taniguchi , Kenji Watanabe , Jainendra K. Jain , Jurgen H. Smet

We introduce s.n where n is the unit vector in the direction of the radius vector and s is the spin, which along with the velocity forms a spin-orbit interaction of the order of v/c whereas the usual spin-orbit interaction is of the order…

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

The rotating relativistic fermion system is considered. The consideration is based on the Dirac equation written in the laboratory (non - rotating) reference frame. Rotation in this approach gives rise to the effective magnetic and electric…

High Energy Physics - Phenomenology · Physics 2018-04-12 M. A. Zubkov

We use functional methods to match the Two-Higgs Doublet Model with heavy scalars in the nondecoupling regime to the appropriate nonlinear effective field theory, which takes the form of an electroweak chiral Lagrangian (HEFT). The…

High Energy Physics - Phenomenology · Physics 2024-09-12 G. Buchalla , F. König , Ch. Müller-Salditt , F. Pandler

We derive a nonlocal effective Lagrangian for the chiral magnetic effect. An electric field is generated by winding number fluctuations of the nonabelian gauge field in the presence of a strong magnetic field. We estimate the magnitude of…

High Energy Physics - Phenomenology · Physics 2010-12-23 Berndt Müller , Andreas Schäfer

In this work we propose a parton state as a candidate state to describe the fractional quantum Hall effect in the half-filled second Landau level. The wave function for this parton state is $\mathcal{P}_{\rm LLL}…

Strongly Correlated Electrons · Physics 2018-07-19 Ajit C. Balram , Maissam Barkeshli , Mark S. Rudner

The fractional quantum Hall effect, where plateaus in the Hall resistance at values of coexist with zeros in the longitudinal resistance, results from electron correlations in two dimensions under a strong magnetic field. Current flows…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Dolev , M. Heiblum , V. Umansky , Ady Stern , D. Mahalu

Single-layer and Bilayer of graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the integer and fractional quantum Hall regimes…

Strongly Correlated Electrons · Physics 2015-05-13 Naokazu Shibata , Kentaro Nomura

We consider the fractional quantum Hall effect at the filling $\nu=6/17$, where experiments have observed features of incompressibility in the form of a minimum in the longitudinal resistance. We propose a parton state denoted as…

Strongly Correlated Electrons · Physics 2021-07-26 Ajit C. Balram , A. Wójs

In this work, two quasiparticle excitation energies per particle are calculated analytically for systems with up to $N = 7$ electrons in both Laughlin and composite fermions (CF) theories by considering the full jellium potential which…

Strongly Correlated Electrons · Physics 2019-06-28 Z. Bentalha

We consider fractional quantum Hall states built on Laughlin's original N-body wave-functions, i.e., they are of the form holomorphic times gaussian and vanish when two particles come close, with a given polynomial rate. Such states appear…

Mathematical Physics · Physics 2016-01-06 Nicolas Rougerie , Jakob Yngvason

The quasiparticle propagator of Haldane-Rezayi(HR) fractional quantum Hall (FQH) state is calculated, based on a chiral fermion model (or a Weyl fermion model) equipped with a hidden spin SU(2) symmetry. The spectrum of the chiral fermion…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jen-Chi Lee , Xiao-Gang Wen

For a given parent fractional quantum Hall (FQH) state at filling fraction $\nu$, the hierarchy construction produces FQH states at nearby filling fractions $\{\nu_n\}$ by condensing minimally charged quasiholes or quasiparticles of the…

Strongly Correlated Electrons · Physics 2025-03-19 Carolyn Zhang , Ashvin Vishwanath , Xiao-Gang Wen

We study fractional quantum Hall states at filling fractions in the Jain sequences using the framework of composite Dirac fermions. Synthesizing previous work, we write down an effective field theory consistent with all symmetry…

Mesoscale and Nanoscale Physics · Physics 2018-05-31 Dung Xuan Nguyen , Siavash Golkar , Matthew M. Roberts , Dam Thanh Son

We study bosonic and fermionic quantum two-leg ladders with orbital magnetic flux. In such systems, the ratio, $\nu$, of particle density to magnetic flux shapes the phase-space, as in quantum Hall effects. In fermionic (bosonic) ladders,…

Quantum Gases · Physics 2015-10-08 Eyal Cornfeld , Eran Sela

We describe an occupation-number-like picture of Fractional Quantum Hall (FQH) states in terms of polynomial wavefunctions characterized by a dominant occupation-number configuration. The bosonic variants of single-component abelian and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Andrei Bernevig , F. D. M. Haldane

Fractional Quantum Hall effect (FQHE) is a unique many-body phenomenon, which was discovered in a two-dimensional electron system placed in a strong perpendicular magnetic field. It is entirely due to the electron-electron interactions…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Vadym Apalkov , Tapash Chakraborty

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu