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Related papers: Hole-flux Composite Fermion Commensurability Oscil…

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Composite fermions provide a simple and unified picture to understand a vast amount of phenomenology in the quantum Hall regime. However it has remained challenging to formulate this concept properly within a single Landau level. Recently a…

Strongly Correlated Electrons · Physics 2022-01-25 Ken K. W. Ma , Kun Yang

The non-perturbative effect of interaction can sometimes make interacting bosons behave as though they were free fermions. The system of neutral bosons in a rapidly rotating atomic trap is equivalent to charged bosons coupled to a magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Chia-Chen Chang , Nicolas Regnault , Thierry Jolicoeur , Jainendra K. Jain

In a recent Letter, Yeh et al.[Phys. Rev. Lett. 82, 592 (1999)] have shown beautiful experimental results which indicate that the composite fermions with four flux quanta ($^4$CF) behave as fermions with mass and spin just like those with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daijiro Yoshioka

Evaluation of critical bandstructure and quantum transport parameters in two-dimensional systems is challenging when competition emerges among different energy scales shaping quantum oscillations in a magnetic field. Here we overcome this…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Davide Costa , Lucas E. A. Stehouwer , Davide Degli Esposti , Giordano Scappucci

The enigmatic even-denominator fractional quantum Hall state at Landau level filling factor $\nu=5/2$ is arguably the most promising candidate for harboring Majorana quasi-particles with non-Abelian statistics and thus of potential use for…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Md. Shafayat Hossain , Meng K. Ma , M. A. Mueed , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We introduce a variant of dipole representation for composite fermions in a half-filled Landau level, taking into account the symmetry under exchange of particles and holes. This is implemented by a special constraint on composite fermion…

Mesoscale and Nanoscale Physics · Physics 2023-05-03 S. Predin , A. Knežević , M. V. Milovanović

The particle-hole (PH) symmetry of {\em electrons} is an exact symmetry of the electronic Hamiltonian confined to a specific Landau level, and its interplay with the formation of composite fermions has attracted much attention of late. This…

Strongly Correlated Electrons · Physics 2018-01-04 Ajit C. Balram , J. K. Jain

We elaborate on a single-mode description of the ballistic charge transport through a narrow constriction in a compressible (composite fermion) Quantum Hall liquid. In the presence of long-range Coulomb interactions we find logarithmic…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko

We construct a density functional theory for two-dimension electron (hole) gases subjected to both strong magnetic fields and external potentials. In particular, we are focused on regimes near even-denominator filling factors, in which the…

Strongly Correlated Electrons · Physics 2019-03-11 Yinhan Zhang , Junren Shi

Taking into account the transverse gauge field fluctuations, which interact with composite fermions, we examine the finite temperature compressibility of the fermions as a function of an effective magnetic field $\Delta B = B - 2 n_e hc/e$…

Condensed Matter · Physics 2009-10-22 Yong Baek Kim , Patrick A. Lee , Xiao-Gang Wen , P. C. E. Stamp

Measurements of the reflectivity of a 2-D electron gas are used to deduce the polarization of the Composite Fermion hole system formed for Landau level occupancies in the regime 1<\nu<2. The measurements are consistent with the formation of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Chughtai , V. Zhitomirsky , R. J. Nicholas , M. Henini

We present the first experimental study of mesoscopic fluctuations of Coulomb drag in a system with two layers of composite fermions, which are seen when either the magnetic field or carrier concentration are varied. These fluctuations…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 A. S. Price , A. K. Savchenko , D. A. Ritchie

Despite the fact that composite fermions may be regarded as electrically neutral objects at Landua-level filling factor $\nu=1/2$, carrying only an electric dipole moment, we argue that the long-wavelength compressibility of the system is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. I. Halperin , Ady Stern

We report a severe, spin-dependent, Fermi contour anisotropy induced by parallel magnetic field in a high-mobility (001) GaAs two-dimensional hole system. Employing commensurability oscillations created by a unidirectional,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 D. Kamburov , M. Shayegan , R. Winkler , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We show that a weak hexagonal periodic potential could transform a two-dimensional electron gas with an even-denominator magnetic filling factor to a quantum anomalous Hall insulator of composite fermions, giving rise to fractionally…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yinhan Zhang , Junren Shi

We investigate the low-lying compression modes of a unitary Fermi gas with imbalanced spin populations. For low polarization, the strong coupling between the two spin components leads to a hydrodynamic behavior of the cloud. For large…

We propose a theory for the new effects recently observed by Willett et al [1] in the magnetoresistance of a weakly modulated two dimensional electron gas near filling factor 1/2. Minima in transverse magnetoresistance and maxima in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nataliya A. Zimbovskaya , Joseph L. Birman

The High Landau level filling fractions 5/2, 7/3 and 8/3 are interpreted by using the angular momentum model. It is found that for the odd number of flux quanta, the quasiparticles called the ``composite fermions'' are fermions but for even…

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

At low temperatures, indirect excitons formed at the in-plane electron-hole interface in a coupled quantum well structure undergo a spontaneous transition into a spatially modulated state. We report on the control of the instability…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Sen Yang , L. V. Butov , B. D. Simons , K. L. Campman , A. C. Gossard

A quantum statistical theory is developed for a fractional quantum Hall effects in terms of composite bosons (fermions) each of which contains a conduction electron and an odd (even) number of fluxons. The cause of the QHE is by assumption…

Mesoscale and Nanoscale Physics · Physics 2013-04-30 Shigeji Fujita , Akira Suzuki , H. C. Ho