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Much of the present day qualitative phenomenology of the fractional quantum Hall effect can be understood by neglecting the interactions between composite fermions altogether. For example the fractional quantum Hall effect at $\nu=n/(2pn\pm…

介观与纳米尺度物理 · 物理学 2009-11-10 Seung-Yeop Lee , Vito W. Scarola , J. K. Jain

Pairing interaction between fermionic particles leads to composite Bosons that condense at low temperature. Such condensate gives rise to long range order and phase coherence in superconductivity, superfluidity, and other exotic states of…

介观与纳米尺度物理 · 物理学 2019-10-02 J. I. A. Li , Q. Shi , Y. Zeng , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean

Multicomponent quantum Hall effect, under the interplay between intercomponent and intracomponent correlations, leads us to new emergent topological orders. Here, we report the theoretical discovery of fractional quantum hall effect of…

强关联电子 · 物理学 2022-07-01 Tian-Sheng Zeng

A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted…

介观与纳米尺度物理 · 物理学 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

Almost all quantum Hall effect to date can be understood as {\em integral} quantum Hall effect of appropriate particles, namely electrons or composite fermions. This paper investigates theoretically the feasibility of nested states of…

介观与纳米尺度物理 · 物理学 2009-11-07 Sudhansu S. Mandal , Jainendra K. Jain

We study quantum Hall states for two-component particles (hardcore bosons and fermions) loading in topological lattice models. By tuning the interplay of interspecies and intraspecies interactions, we demonstrate that two-component…

强关联电子 · 物理学 2017-03-29 Tian-Sheng Zeng , W. Zhu , D. N. Sheng

The composite fermion theory opened a new chapter in understanding many-body correlations through the formation of emergent particles. The formation of two-flux and four-flux composite fermions is well established. While there are limited…

介观与纳米尺度物理 · 物理学 2024-02-21 Haoyun Huang , Waseem Hussain , S. A. Myers , L. N. Pfeiffer , K. W. West , K. W. Baldwin , G. A. Csáthy

The occurrence of incompressible quantum fluid states of a two dimensional system is a result of electron--electron interactions in a highly degenerate fractionally filled Landau level. Novel quasiparticles (QP's) called composite Fermions…

介观与纳米尺度物理 · 物理学 2007-05-23 John J. Quinn , Arkadiusz Wojs , Kyung-Soo Yi , Jennifer J. Quinn

Even though composite fermions in the fractional quantum Hall liquid are well established, it is not yet known up to what energies they remain intact. We probe the high-energy spectrum of the 1/3 liquid directly by resonant inelastic light…

Quasiperiodically driven fermionic systems can support topological phases not realized in equilibrium. The fermions are localized in the bulk, but support quantized energy currents at the edge. These phases were discovered through an…

介观与纳米尺度物理 · 物理学 2022-10-19 David M. Long , Philip J. D. Crowley , Anushya Chandran

Interacting electrons in a semiconductor quantum dot at strong magnetic fields exhibit a rich set of states, including correlated quantum fluids and crystallites of various symmetries. We develop in this paper a perturbative scheme based on…

介观与纳米尺度物理 · 物理学 2007-05-23 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

The interplay between topology and strong interactions gives rise to a variety of exotic quantum phases, including fractional quantum Hall (FQH) states and their lattice analogs - fractional Chern insulators (FCIs). Such topologically…

量子气体 · 物理学 2026-01-23 Fabian J. Pauw , Ulrich Schollwöck , Nathan Goldman , Sebastian Paeckel , Felix A. Palm

There is increasing experimental evidence for fractional quantum Hall effect at filling factor $\nu=2+3/8$. Modeling it as a system of composite fermions, we study the problem of interacting composite fermions by a number of methods. In our…

介观与纳米尺度物理 · 物理学 2013-12-19 Csaba Toke , Chuntai Shi , Jainendra K. Jain

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…

介观与纳米尺度物理 · 物理学 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

Theory predicts that double layer systems realize "two-component composite fermions," which are formed when electrons capture both intra- and inter-layer vortices, to produce a wide variety of new strongly correlated liquid and crystal…

强关联电子 · 物理学 2020-02-26 William N. Faugno , Ajit C. Balram , Arkadiusz Wójs , Jainendra K. Jain

Numerical studies by W\'ojs, Yi and Quinn have suggested that an unconventional fractional quantum Hall effect is plausible at filling factors $\nu=$ 1/3 and 1/5, provided the interparticle interaction has an unusual form for which the…

强关联电子 · 物理学 2016-10-14 Ajit C. Balram

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

强关联电子 · 物理学 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain

We investigate the 1/3 fractional quantum Hall state with one and two quasiparticle excitations. It is shown that the quasiparticle excitations are best described as excited composite fermions occupying higher composite-fermion quasi-Landau…

介观与纳米尺度物理 · 物理学 2016-08-31 Gun Sang Jeon , Jainendra K. Jain

We study the properties of dipolar fermions trapped in one-dimensional bichromatic optical lattices and show the existence of fractional topological states in the presence of strong dipole-dipole interactions. We find some interesting…

量子气体 · 物理学 2013-05-28 Zhihao Xu , Linhu Li , Shu Chen

A rich pattern of fractional quantum Hall states in graphene double layers can be naturally explained in terms of two-component composite fermions carrying both intra- and inter-layer vortices.

强关联电子 · 物理学 2019-08-23 G. A Csathy , J. K. Jain
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