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Haldane's geometrical description of fractional quantum Hall states is generalized to compressible states. It is shown that anisotropy in the composite fermion Fermi surface is a direct reflection of this intrinsic geometry. A simple model…

Strongly Correlated Electrons · Physics 2013-12-12 Kun Yang

Composite Fermi liquid metals arise at certain special filling fractions in the quantum Hall regime and play an important role as parent states of gapped states with quantized Hall response. They have been successfully described by the…

Strongly Correlated Electrons · Physics 2020-11-25 Zhihuan Dong , T. Senthil

The physics of the state at even denominator fractional fillings of Landau levels depends on the Coulomb pseudopotentials, and produces, in different GaAs Landau levels, a composite fermion Fermi sea, a stripe phase, or, possibly, a paired…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Csaba Toke , Jainendra K. Jain

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

The density matrix of the 2D system of spinless electrons confined to the lowest Landau level is expressed using both basis of states parametrized by electron locations and basis of states parametrized by hole locations. In this…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. Beran

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…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 Csaba Toke , Chuntai Shi , Jainendra K. Jain

The Hall-resistance curve of a two-dimensional electron system in the presence of a strong perpendicular magnetic field is an example of self-similarity. It reveals plateaus at low temperatures and has a fractal structure. We show that this…

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

The magneto-transport properties of phosphorene are investigated by employing the generalized tight-binding model to calculate the energy bands. For bilayer phosphorene, a composite magnetic and electric field is shown to induce a…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 Jhao-Ying Wu , Wu-Pei Su , Godfrey Gumbs

A two-dimensional dipolar Fermi gas in harmonic trap under rotation is studied by solving "ab initio" Kohn-Sham equations. The physical parameters used match those of ultracold gas of fermionic $^{23}Na^{40}K$ molecules, a prototype system…

Quantum Gases · Physics 2016-01-20 Francesco Ancilotto

Partial compositeness is a mechanism for the generation of fermion masses which replaces a direct Higgs coupling to the fermions by a linear mixing with heavy composite partners. We present the first calculation of the relevant matrix…

High Energy Physics - Phenomenology · Physics 2019-05-29 Venkitesh Ayyar , Thomas DeGrand , Daniel C. Hackett , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

A transport study of two-dimensional (2D) holes confined to wide GaAs quantum wells provides a glimpse of a subtle competition between different many-body phases at Landau level filling $\nu=3/2$ in tilted magnetic fields. At large tilt…

Mesoscale and Nanoscale Physics · Physics 2016-11-08 Yang Liu , M. A. Mueed , Md. Shafayat Hossain , S. Hasdermir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

The paired state of composite fermions is expected to support two kinds of excitations: vortices and unpaired composite fermions. We construct an explicit microscopic description of the unpaired composite fermions, which we demonstrate to…

Strongly Correlated Electrons · Physics 2011-09-21 G. J. Sreejith , Arkadiusz Wojs , Jainendra K. Jain

We present a theory of the isotropic-nematic quantum phase transition in the composite Fermi liquid arising in half-filled Landau levels. We show that the quantum phase transition between the isotropic and the nematic phase is triggered by…

Strongly Correlated Electrons · Physics 2016-05-04 Yizhi You , Gil Young Cho , Eduardo Fradkin

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…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Haoyun Huang , Waseem Hussain , S. A. Myers , L. N. Pfeiffer , K. W. West , K. W. Baldwin , G. A. Csáthy

When the kinetic energy of a collection of interacting two-dimensional (2D) electrons is quenched at very high magnetic fields so that the Coulomb repulsion dominates, the electrons are expected to condense into an ordered array, forming a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yang Liu , H. Deng , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

The optical properties of an electron gas in a magnetic field at filling fractions \nu = {1\over 2m} (m=1,2,3...) are investigated using the composite fermion picture. The response of the system to the presence of valence-band holes is…

Condensed Matter · Physics 2009-10-28 Darren J. T. Leonard , Neil F. Johnson , V. Nikos Nicopoulos , F. J. Rodriguez

Basing on the density functional theory of fermion condensation, we analyze the non-Fermi liquid behavior of strongly correlated Fermi-systems such as heavy-fermion metals. When deriving equations for the effective mass of quasiparticles,…

Strongly Correlated Electrons · Physics 2009-05-14 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov

We study the principal aspects of the interaction between acoustic phonons and two-dimensional electrons in quantizing magnetic fields corresponding to even denominator fractions. Using the composite fermion approach we derive the vertex of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 D. V. Khveshchenko , M. Reizer

The composite fermion (CF) formalism produces wave functions that are not always linearly independent. This is especially so in the low angular momentum regime in the lowest Landau level, where a subclass of CF states, known as simple…

Quantum Gases · Physics 2017-09-26 Vidar Skogvoll , Ola Liabøtrø

While the composite fermion picture is so effective as to describe the excitation spectra including the spin wave for Laughlin's quantum liquid, ``how heavy and how strongly-interacting" remains a formidable question for the composite…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Hideo Aoki