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We consider a collection of fermions in a strong magnetic field coupled by a purely three body repulsive interaction, and predict the formation of composite fermions, leading to a remarkably rich phase diagram containing a host of…

Strongly Correlated Electrons · Physics 2015-05-19 Arkadiusz Wojs , Csaba Toke , Jainendra K. Jain

We theoretically study charge noise generated by excited neutral modes, which impinge on the quantum point contact of a quantum Hall bar with filling fraction v=2/3. The noise is computed for thermally excited neutral modes as well as for…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 So Takei , Bernd Rosenow , Ady Stern

According to the composite fermion theory, the interacting electron system at filling factor $\nu$ is equivalent to the non-interacting composite fermion system at $\nu^*=\nu/(1-2m\nu)$, which in turn is related to the non-interacting…

Condensed Matter · Physics 2016-08-31 X. G. Wu , J. K. Jain

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

When interacting two-dimensional electrons are placed in a large perpendicular magnetic field, to minimize their energy, they capture an even number of flux quanta and create new particles called composite fermions (CFs). These complex…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 T. Gokmen , Medini Padmanabhan , M. Shayegan

We have studied collective spin density excitations of fractional quantum Hall effect (FQHE) in rotating Bose-Einstein condensation for the three filling fractions of first series of Jain's composite fermion sequences. We have considered,…

Mesoscale and Nanoscale Physics · Physics 2019-06-13 Moumita Indra , Dwipesh Majumder

For weakly disordered fractional quantum Hall phases, the non linear photoconductivity is related to the charge susceptibility of the clean system by a Floquet boost. Thus, it may be possible to probe collective charge modes at finite…

Strongly Correlated Electrons · Physics 2017-07-12 Assa Auerbach , Daniel P. Arovas

In the framework of a recently developed model of interacting composite fermions restricted to a single level, we calculate the activation gaps of a second generation of spin-polarized composite fermions. These composite particles consist…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

In this paper, we examine the viscoelastic properties of integer quantum Hall (IQH) states in a tilted magnetic field. In particular, we explore to what extent the tilted-field system behaves like a two-dimensional electron gas with…

Mesoscale and Nanoscale Physics · Physics 2019-01-18 Bendeguz Offertaler , Barry Bradlyn

The collective charge-excitation spectrum of a double quantum well system in a strong magnetic field is obtained within the random phase approximation. Correction to the spectrum coming from the finiteness of the magnetic field is…

Condensed Matter · Physics 2009-10-22 Osamu Narikiyo , Daijiro Yoshioka

A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per…

Condensed Matter · Physics 2009-10-28 K. Ziegler

There has been a surge of recent interest in the role of anisotropy in interaction-induced phenomena in two-dimensional (2D) charged carrier systems. A fundamental question is how an anisotropy in the energy-band structure of the carriers…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Insun Jo , K. A. Villegas Rosales , M. A. Mueed , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , Medini Padmanabhan , M. Shayegan

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

Most studies of collective dephasing for bipartite as well as multipartite quantum systems focus on a very specific orientation of magnetic field, that is, z-orientation. However, in practical situations, there are always small fluctuations…

Quantum Physics · Physics 2020-10-09 Mazhar Ali

The collective excitation modes in quantum droplets trapped in a two-dimensional harmonic potential in the context of symmetric weakly interacting binary bosonic mixtures are studied. By utilizing the linearization technique, the…

Quantum Gases · Physics 2024-08-30 Yifan Fei , Xucong Du , Xiao-Long Chen , Yunbo Zhang

We present a general derivation of the spectrum of excitations for gapless states of zero entropy density in Bethe ansatz solvable models. Our formalism is valid for an arbitrary choice of bare energy function which is relevant to…

Mathematical Physics · Physics 2016-11-22 I. S. Eliëns , J. -S. Caux

Thermodynamic and electric properties of anisotropic compressible Hall states at higher Landau levels are studied using a mean field theory on the von Neumann lattice basis. It is shown that resistances agree with the recent experiments of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Ishikawa , N. Maeda

A deeper sense of advantages over the planar quantum dots and the foreseen applications in the single-electron devices and quantum computation have given vertically stacked quantum dots (VSQD) a width of interest. Here, we embark on the…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Manvir S. Kushwaha

One of the central tenets of the theory of the fractional quantum Hall effect is that the bulk quantized Hall response requires the existence of a gapless chiral edge mode. The field theoretical arguments for this rely on locality. While…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Daniel Spasic-Mlacak , Nigel R. Cooper

A fractional quantum Hall (FQH) system with broken rotational symmetry exploits its geometric degree of freedom to minimize its ground state energy. The mass anisotropy of bare particles interacting isotropically is partially inherited by…

Strongly Correlated Electrons · Physics 2019-08-20 Akshay Krishna , Fan Chen , Matteo Ippoliti , R. N. Bhatt
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