248 research outputs found
Influence of Landau-level mixing on Wigner crystallization in graphene
Graphene, with its massless linearly-dispersing carriers, in the quantum Hall
regime provides an instructive comparison with conventional two-dimensional
(2D) systems in which carriers have a nonzero band mass and quadratic
dispersion. We investigate the influence of Landau level mixing in graphene on
Wigner crystal states in the Landau level obtained using single
Landau level approximation. We show that the Landau level mixing does not
qualitatively change the phase diagram as a function of partial filling factor
in the level. We find that the inter-Landau level mixing,
quantified by relative occupations of the two Landau levels,
, oscillates around 2% and, in general, remains small () irrespective of the Landau level index . Our results show that the
single Landau level approximation is applicable in high Landau levels, even
though the energy gap between the adjacent Landau levels vanishes.Comment: 6 pages, 3 figure
On the Evolution Equation for Magnetic Geodesics
In this paper we prove the existence of long time solutions for the parabolic
equation for closed magnetic geodesics.Comment: In this paper we prove the existence of long time solutions for the
parabolic equation for closed magnetic geodesic
Field-induced breakdown of the quantum Hall effect
A numerical analysis is made of the breakdown of the quantum Hall effect
caused by the Hall electric field in competition with disorder. It turns out
that in the regime of dense impurities, in particular, the number of localized
states decreases exponentially with the Hall field, with its dependence on the
magnetic and electric field summarized in a simple scaling law. The physical
picture underlying the scaling law is clarified. This intra-subband process,
the competition of the Hall field with disorder, leads to critical breakdown
fields of magnitude of a few hundred V/cm, consistent with observations, and
accounts for their magnetic-field dependence \propto B^{3/2} observed
experimentally. Some testable consequences of the scaling law are discussed.Comment: 7 pages, Revtex, 3 figures, to appear in Phys. Rev.
Strong, Ultra-narrow Peaks of Longitudinal and Hall Resistances in the Regime of Breakdown of the Quantum Hall Effect
With unusually slow and high-resolution sweeps of magnetic field, strong,
ultra-narrow (width down to ) resistance peaks are observed in
the regime of breakdown of the quantum Hall effect. The peaks are dependent on
the directions and even the history of magnetic field sweeps, indicating the
involvement of a very slow physical process. Such a process and the sharp peaks
are, however, not predicted by existing theories. We also find a clear
connection between the resistance peaks and nuclear spin polarization.Comment: 5 pages with 3 figures. To appear in PR
Sound archaeology: terminology, Palaeolithic cave art and the soundscape
This article is focused on the ways that terminology describing the study of music and sound within archaeology has changed over time, and how this reflects developing methodologies, exploring the expectations and issues raised by the use of differing kinds of language to define and describe such work. It begins with a discussion of music archaeology, addressing the problems of using the term âmusicâ in an archaeological context. It continues with an examination of archaeoacoustics and acoustics, and an emphasis on sound rather than music. This leads on to a study of sound archaeology and soundscapes, pointing out that it is important to consider the complete acoustic ecology of an archaeological site, in order to identify its affordances, those possibilities offered by invariant acoustic properties. Using a case study from northern Spain, the paper suggests that all of these methodological approaches have merit, and that a project benefits from their integration
Evolution of Landau Levels into Edge States at an Atomically Sharp Edge in Graphene
The quantum-Hall-effect (QHE) occurs in topologically-ordered states of
two-dimensional (2d) electron-systems in which an insulating bulk-state
coexists with protected 1d conducting edge-states. Owing to a unique
topologically imposed edge-bulk correspondence these edge-states are endowed
with universal properties such as fractionally-charged quasiparticles and
interference-patterns, which make them indispensable components for QH-based
quantum-computation and other applications. The precise edge-bulk
correspondence, conjectured theoretically in the limit of sharp edges, is
difficult to realize in conventional semiconductor-based electron systems where
soft boundaries lead to edge-state reconstruction. Using scanning-tunneling
microscopy and spectroscopy to follow the spatial evolution of bulk
Landau-levels towards a zigzag edge of graphene supported above a graphite
substrate we demonstrate that in this system it is possible to realize
atomically sharp edges with no edge-state reconstruction. Our results single
out graphene as a system where the edge-state structure can be controlled and
the universal properties directly probed.Comment: 16 pages, 4 figure
Sonorous memory in Jonathan Perelâs El predio (2010) and Los murales (2011)
Throughout his filmic production, Argentine director Jonathan Perel has demonstrated strict adherence to a unique aesthetic programme in which human agents appear to have only a minimal role. Each film contains only diegetic sounds and consists of fixed shots of architectural spaces and objects closely associated with the most recent Argentine military dictatorship (1976â1983) and recent attempts to memorialise the atrocities they committed. Through the close analysis of Perelâs first two films â El predio (2010) and Los murales (2011) â this article focusses on Perelâs highly distinctive use of environmental sound and argues that they are, in fact, uniquely musical works. Drawing on the work of John Cage, Michel Chion, Deleuze and Guattari, and Doreen Massey, the article proposes that Perel manipulates sound in order to situate debates over the memorialisation of recent atrocities in a perpetual present and thus critique contemporary abuses of power in Argentina
Quantum railroads and directed localization at the juncture of quantum Hall systems
The integer quantum Hall effect (QHE) and one-dimensional Anderson
localization (AL) are limiting special cases of a more general phenomenon,
directed localization (DL), predicted to occur in disordered one-dimensional
wave guides called "quantum railroads" (QRR). Here we explain the surprising
results of recent measurements by Kang et al. [Nature 403, 59 (2000)] of
electron transfer between edges of two-dimensional electron systems and
identify experimental evidence of QRR's in the general, but until now entirely
theoretical, DL regime that unifies the QHE and AL. We propose direct
experimental tests of our theory.Comment: 11 pages revtex + 3 jpeg figures, to appear in Phys. Rev.
In re: âExperimental Musicâ
John Cage is universally associated with the phrase experimental music. But what did that phrase mean, for Cage and for Cageâs predecessors? I begin with Cage and Lejaren Hiller, both writing important texts on âexperimental musicâ in 1959. From there, I trace the phrase backwards, eventually reaching Emile Zola, Gertrude Stein, and William James. A final section traces the phrase forward to Cage and Hillerâs collaboration on HPSCHD (1969)
Electronic Processes at the Breakdown of the Quantum Hall Effect
Microscopic processes giving the energy gain and loss of a two-dimensional
electron system in long-range potential fluctuations are studied theoretically
at the breakdown of the quantum Hall effect in the case of even-integer filling
factors. The Coulomb scattering within a broadened Landau level is proposed to
give the gain, while the phonon scattering to give the loss. The energy balance
equation shows that the electron temperature T_e and the diagonal conductivity
sigma_{xx} exhibit a bistability above the lower critical electric field
E_{c1}. Calculated values of E_{c1} as well as T_e and sigma_{xx} at E_{c1} are
in agreement with the observed values in their orders of magnitude.Comment: 4 pages, 2 Postscript figures, submitted to the Journal of the
Physical Society of Japa
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