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We describe a theoretical framework for the interpretation of time-resolved phonon absorption experiments carried out in the fractional quantum Hall regime of a magnetically quantized two-dimensional electron system (2des). The only phonons…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Keith A. Benedict , R. K. Hills , C. J. Mellor

A major obstacle toward a {\em quantitative} verification, by comparison to experiment, of the theory of the excitations of the fractional quantum Hall effect has been the lack of a proper understanding of disorder. We circumvent this…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Vito W. Scarola , Kwon Park , Jainendra K. Jain

We investigate the time dependent thermal relaxation of a two-dimensional electron system in the fractional quantum Hall regime where ballistic phonons are used to heat up the system to a non-equilibrium temperature. The thermal relaxation…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Schulze-Wischeler , U. Zeitler , M. Monka , F. Hohls , R. J. Haug , K. Eberl

We show that acoustic crystalline wave gives rise to an effect similar to that of a gravitational wave to an electron gas. Applying this idea to a two-dimensional electron gas in the fractional quantum Hall regime, this allows for…

Strongly Correlated Electrons · Physics 2016-04-19 Kun Yang

In the fractional quantum Hall effect regime we measure diagonal ($\rho_{xx}$) and Hall ($\rho_{xy}$) magnetoresistivity tensor components of two-dimensional electron system (2DES) in gated GaAs/Al$_{x}$Ga$_{1-x}$As heterojunctions,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. S. Murzin , S. I. Dorozhkin , G. E. Tsydynzhapov , V. N. Zverev

We compute the high-frequency emission and absorption noise in a fractional quantum Hall effect (FQHE) sample at arbitrary temperature. We model the edges of the FQHE as chiral Luttinger liquids (LL) and we use the non-equilibrium…

Strongly Correlated Electrons · Physics 2009-11-13 Cristina Bena , Ines Safi

The absorption coefficient for surface acoustic waves in a piezoelectric insulator in contact with a GaAs/AlGaAs heterostructure (with two-dimensional electron mobility $\mu= 1.3\times 10^5 cm^2/V\cdot s)$ at T=4.2K) via a small gap has…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. L. Drichko , A. M. Diakonov , A. M. Kreshchuk , T. A. Polyanskaya , I. G. Savel'ev , I. Yu. Smirnov , A. V. Suslov

We study the many-body effects in a two-subband quasi-two-dimensional electron system in a quantizing magnetic field at filling factor three. A manifestation of these effects in the phonon absorption spectroscopy is discussed. The electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. M. Apalkov , M. E. Portnoi

Optical transitions in a semiconductor quantum dot are theoretically investigated, with emphasis on the coupling to longitudinal optical phonons, and including excitonic effects. When limiting to a finite number of $m$ electron and $n$ hole…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Stauber , R. Zimmermann

Motivated by recent phonon spectroscopy experiments in the fractional quantum Hall regime we consider processes in which thermally excited magnetoroton excitations are scattered by low energy phonons. We show that such scattering processes…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 KA Benedict , RK Hills

The fractional quantum Hall effect is observed at low field, in a regime where the cyclotron energy is smaller than the Coulomb interaction. The nu=5/2 excitation gap is measured to be 262+/-15 mK at ~2.6 T, in good agreement with previous…

Mesoscale and Nanoscale Physics · Physics 2008-04-10 C. R. Dean , B. A. Piot , P. Hayden , S. Das Sarma , G. Gervais , L. N. Pfeiffer , K. W. West

We propose to use phonon absorption spectroscopy to study many-body gaps and phases of two-subband heterostructures in the quantum Hall regime. Implications of the spin-orbit interaction for phonon absorption in this system are considered.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. E. Portnoi , K. V. Kavokin , V. M. Apalkov

We have analyzed the effects of the anisotropic energy bands of phosphorene on magnetoroton branches for electrons and holes in the two Landau levels close to the band edges. We have found that the fractional quantum Hall effect gap in the…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Areg Ghazaryan , Tapash Chakraborty

We report on magnetotransport measurements of multi-terminal suspended graphene devices. Fully developed integer quantum Hall states appear in magnetic fields as low as 2 T. At higher fields the formation of longitudinal resistance minima…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Fereshte Ghahari , Yue Zhao , Paul Cadden-Zimansky , Kirill Bolotin , Philip Kim

Using a time-resolved phonon absorption technique, we have measured the specific heat of a two-dimensional electron system in the fractional quantum Hall effect regime. For filling factors $\nu = 5/3, 4/3, 2/3, 3/5, 4/7, 2/5$ and 1/3 the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Schulze-Wischeler , U. Zeitler , C. v. Zobeltitz , F. Hohls , D. Reuter , A. D. Wieck , H. Frahm , R. J. Haug

The fractional quantum Hall effect (FQHE) stands as a quintessential manifestation of an interacting two-dimensional electron system. One of FQHE's most fundamental characteristics is the energy gap separating the incompressible ground…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

Fractional quantum Hall effect energy gaps have been measured in GaAs/GaAlAs heterojunctions as a function of Zeeman energy, which is varied by applying hydrostatic pressure up to 20 kbar. The gap at v=1/3 decreases with pressure until the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. R. Leadley , R. J. Nicholas , D. K. Maude , A. N. Utjuzh , J. C. Portal , J. J. Harris , C. T. Foxon

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

We devise a theory of adsorption of low-energy atoms on suspended graphene membranes maintained at 10 K based on a model of atom-acoustic phonon interactions. Our primary technique includes a non-perturbative method which treats the…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Sanghita Sengupta
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