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We study the finite temperature (FT) effects on integer quantum Hall effect (IQHE) and fractional quantum Hall effect (FQHE) as predicted by the composite fermion model. We find that at $T\neq 0$, universality is lost, as is quantization…

Condensed Matter · Physics 2019-08-17 Sudhansu S. Mandal , S. Ramaswamy , V. Ravishankar

The two-dimensional interacting electron gas at Landau level filling factor $\nu =1$ and temperature $T=0$ is a strong ferromagnet; all spins are completely aligned by arbitrarily weak Zeeman coupling. We report on a theoretical study of…

Condensed Matter · Physics 2009-10-28 Marcus Kasner , A. H. MacDonald

We consider the Coulomb drag between two two-dimensional electron layers at filling factor \nu = 1/2 each, using a strong coupling approach within the composite fermion picture. Due to an attractive interlayer interaction, composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Iddo Ussishkin , Ady Stern

Single particle basis functions for composite fermions are obtained from which many-composite fermion states confined to the lowest electronic Landau level can be constructed in the standard manner, i.e., by building Slater determinants.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. K. Jain , R. K. Kamilla

We present the expression for the quasiparticle vertex function $\Gamma^{\omega }(K_{F},P_{F})$ (proportional to the Landau function) in a 2D Fermi liquid (FL) near a $T=0$ instability towards antiferromagnetism. Previous studies have found…

Strongly Correlated Electrons · Physics 2015-06-17 Andrey V Chubukov , Peter Wolfle

Mixing of Landau levels has been understood to be essential in governing the nature of the ground state for the even-denominator fractional quantum Hall effect. The incompressibility of the ground state at filling factor $5/2$ in the strong…

Strongly Correlated Electrons · Physics 2021-10-01 Wenchen Luo , Shenglin Peng , Hao Wang , Yu Zhou , Tapash Chakraborty

It was recently shown that dipolar composite fermions emerged from the lowest-Landau-level formulation of the quantum Hall effect give rise to similar results as those of the Chern-Simons gauge theory in the long wavelength and low energy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yong Baek Kim

In this paper, the density-matrix renormalization group method is employed to investigate the fractional quantum Hall effect at filling fractions $\nu=1/3$ and 5/2. We first present benchmark results at both filling fractions for large…

Strongly Correlated Electrons · Physics 2012-01-13 Jize Zhao , D. N. Sheng , F. D. M. Haldane

We investigate the finite frequency noise of a quantum point contact at filling factor {\nu} = 5/2 using a weakly coupled resonant LC circuit as a detector. We show how one could spectroscopically address the fractional charged excitations…

Strongly Correlated Electrons · Physics 2016-06-24 A. Braggio , M. Carrega , D. Ferraro , M. Sassetti

We use exact numerical diagonalization in the search of fractional quantum Hall states with non-Abelian quasiparticle statistics. For the (most promising) states in a partially filled second Landau level, the search is narrowed to the range…

Strongly Correlated Electrons · Physics 2015-05-14 Arkadiusz Wojs

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

Motivated by recent experiments that reveal expansive fractional quantum Hall states in the $n=1$ graphene Landau level and suggest a nontrivial role of the spin degree of freedom [Amet {\em et al.}, Nat. Common. {\bf 6}, 5838 (2014)], we…

Strongly Correlated Electrons · Physics 2018-02-20 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain

The effective action of (2+1)-dimensional QED with finite fermion density is calculated in a uniform electromagnetic field. It is shown that the integer quantum Hall effect and de Haas-van Alphen like phenomena in condensed matter physics…

High Energy Physics - Theory · Physics 2009-10-30 Dae Kwan Kim , Kwang-Sup Soh

The ground state cohesive energies per electron of the composite fermion (CF) Fermi sea, the Laughlin state and the charge density wave (CDW) at higher Landau levels (LLs) are computed. It is shown that whereas for $n\geq 2$ LL, the CDW…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Shi-Jie Yang , Yue Yu , Zhao-Bin Su

We report the observation of the fractional quantum Hall effect in the lowest Landau level of a two-dimensional electron system (2DES), residing in the diluted magnetic semiconductor Cd(1-x)Mn(x)Te. The presence of magnetic impurities…

Strongly Correlated Electrons · Physics 2015-06-22 C. Betthausen , P. Giudici , A. Iankilevitch , C. Preis , V. Kolkovsky , M. Wiater , G. Karczewski , B. A. Piot , J. Kunc , M. Potemski , T. Wojtowicz , D. Weiss

High precision measurements of the Hall effect have been carried out for archetypal heavy fermion compound - CeAl3 in a wide range of temperatures 1.8-300K. For the first time a complex activated behavior of the Hall coefficient in CeAl3…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Sluchanko , V. V. Glushkov , S. V. Demishev , N. A. Samarin , G. S. Burhanov , O. D. Chistiakov , D. N. Sluchanko

The specific heat capacity of a two-dimensional electron gas is derived for two types of the density of states, namely, the Dirac delta function spectrum and that based on a Gaussian function. For the first time, a closed form expression of…

Mesoscale and Nanoscale Physics · Physics 2011-05-16 Cristine Villagonzalo , Rayda Gammag

Strongly correlated Fermi systems are fundamental systems in physics that are best studied experimentally, which until very recently have lacked theoretical explanations. This review discusses the construction of a theory and the analysis…

Strongly Correlated Electrons · Physics 2010-06-30 V. R. Shaginyan , M. Ya. Amusia , A. Z. Msezane , K. G. Popov

We present a generalization of the composite Fermion picture for a muticomponent quantum Hall plasma which contains particle with different effective charges. The model predicts very well the low-lying states of a $\nu=5/2$ quantum Hall…

Strongly Correlated Electrons · Physics 2015-05-14 George E. Simion , John J. Quinn

A fractional quantized Hall state with filling fraction $\nu = p/(2mp+1)$ can be modeled as an integer quantized Hall state of transformed fermions, interacting with a Chern-Simons field. The electromagnetic response function for these…

Condensed Matter · Physics 2009-10-22 Steven H. Simon , Bertrand I. Halperin