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Low lying states of a 2D electron-hole system contain electrons and one or more types of charged excitonic complexes. Binding energies and angular momenta of these excitonic ions, and the pseudopotentials describing their interactions with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , Izabela Szlufarska , Kyung-Soo Yi , Pawel Hawrylak , John J. Quinn

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

We have studied temperature dependence of both diagonal and Hall resistivity in the vicinity of $\nu=1/2$. Magnetoresistance was found to be positive and almost independent of temperature: temperature enters resistivity as a logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 L. P. Rokhinson , V. J. Goldman

We obtain a ``mean field'' scaling flow of the longitudinal and the Hall conductivities in the fractional quantum Hall regime. Using the composite fermion picture and assuming that the composite fermions follow the Khmelnitskii-Pruisken…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Hae-Young Kee , Yong Baek Kim , Elihu Abrahams , R. N. Bhatt

We propose to describe bulk wave functions of fractional quantum Hall states in terms of correlators of non-unitary b/c-spin systems. These yield a promising conformal field theory analogon of the composite fermion picture of Jain.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael Flohr , Klaus Osterloh

We study quantum transport in disordered systems with particle-hole symmetric Hamiltonians. The particle-hole symmetry is spontaneously broken after averaging with respect to disorder, and the resulting massless mode is treated in a…

Disordered Systems and Neural Networks · Physics 2021-09-09 Ipsita Mandal , Klaus Ziegler

We have investigated hole transport in one-dimensional quantum wires in strained germanium two-dimensional layers. The ballistic conductance characteristics show the regular quantised plateaux in units of n2e2/h, where n is an integer.…

Mesoscale and Nanoscale Physics · Physics 2018-02-15 Y. Gul , S. N. Holmes , M. Myronov , S. Kumar , M. Pepper

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

A novel conductance oscillation in a twisted quantum ring composed of a helical atomic configuration is theoretically predicted. Internal torsion of the ring is found to cause a quantum phase shift in the wavefunction that describes the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Hisao Taira , Hiroyuki Shima

We propose a new way for describing the transition between two quantum Hall effect states with different filling factors within the framework of rational conformal field theory. Using a particular class of non-unitary theories, we…

High Energy Physics - Theory · Physics 2015-06-26 Michael Flohr

A semiclassical theory for magnetotrasport in a quantum Hall system near filling factor $\nu = 1/2 $ based on the Composite Fermions physical picture is used to analyze the effect of local flattening of the Composite Fermion Fermi surface…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Natalya A. Zimbovskaya

Composite fermions (CFs) of the fractional quantum Hall effect are described as spherical products of electron and vortex spinors, built from underlying L=1/2 ladder operators aligned so that the spinor angular momenta Le and Lv are…

Strongly Correlated Electrons · Physics 2018-09-26 W. C. Haxton , Daniel J. Haxton , Byungmin Kang

We present extensive comparisons of the composite fermion theory with exact results in the filling factor range $2/5>\nu>1/3$, which affirm that the composite fermion theory correctly describes the qualitative reorganization of the low…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jainendra K. Jain , Chia-Chen Chang , Gun Sang Jeon , Michael R. Peterson

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…

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

The composite Fermion (CF) picture offers a simple intuitive way of understanding many of the surprising properties of a strongly interacting two-dimensional electron fluid in a large magnetic field. The simple way in which the mean field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs

Quantum dots in the fractional quantum Hall regime are studied using a Hartree formulation of composite fermion theory. Under appropriate conditions the chemical potential of the dots will oscillate periodically with B due to the transfer…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 E. D. Goldmann , S. R. Renn

The edge of spin unpolarized or spin polarized $\nu=2/3$ fractional quantum Hall states is predicted by the effective theory to support a backward moving neutral mode in addition to a forward moving charge mode. We study this issue from a…

Mesoscale and Nanoscale Physics · Physics 2012-11-08 Ying-Hai Wu , G. J. Sreejith , Jainendra K. Jain

We have studied quantum-well-confined holes based on the Luttinger-model description for the valence band of typical semiconductor materials. Even when only the lowest quasi-two-dimensional (quasi-2D) subband is populated, the static spin…

Mesoscale and Nanoscale Physics · Physics 2013-01-15 T. Kernreiter , M. Governale , U. Zuelicke

We report on the transport measurements of two-dimensional holes in GaAs field effect transistors with record low densities down to 7*10^8 cm^{-2}. Remarkably, such a dilute system (with Fermi wavelength approaching 1 micrometer) exhibits a…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 Jian Huang , D. S. Novikov , D. C. Tsui , L. N. Pfeiffer , K. W. West

Composite fermions have played a seminal role in understanding the quantum Hall effect, particularly the formation of a compressible `composite Fermi liquid' (CFL) at filling factor nu = 1/2. Here we suggest that in multi-layer systems…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea , Olexei I. Motrunich , G. Refael , Matthew P. A. Fisher