NoncompactσModels and the Existence of a Mobility Edge in Disordered Electronic Systems near Two Dimensions

1980 ◽  
Vol 45 (5) ◽  
pp. 394-397 ◽  
Author(s):  
A. Houghton ◽  
A. Jevicki ◽  
R. D. Kenway ◽  
A. M. M. Pruisken
Keyword(s):  
Two Dimensions ◽  
Electronic Systems ◽  
Mobility Edge

scholarly journals Electron-phonon decoupling in two dimensions

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
George McArdle ◽  
Igor V. Lerner
Keyword(s):  
Electron Temperature ◽  
Cooling Rate ◽  
Two Dimensions ◽  
Electronic Systems ◽  
Two Dimensional ◽  
Many Body ◽  
Current Voltage ◽  
Current Voltage Characteristics

AbstractIn order to observe many-body localisation in electronic systems, decoupling from the lattice phonons is required, which is possible only in out-of-equilibrium systems. We show that such an electron-phonon decoupling may happen in suspended films and it manifests itself via a bistability in the electron temperature. By studying the electron-phonon cooling rate in disordered, suspended films with two-dimensional phonons, we derive the conditions needed for such a bistability, which can be observed experimentally through hysteretic jumps of several orders of magnitude in the nonlinear current-voltage characteristics. We demonstrate that such a regime is achievable in systems with an Arrhenius form of the equilibrium conductivity, while practically unreachable in materials with Mott or Efros–Shklovskii hopping.

Possible evidence for a mobility edge for photons in two dimensions

2007 ◽  
Author(s):  
A.A. Asatryan ◽  
L. C. Botten ◽  
M.A. Byrne ◽  
R. C. McPhedran ◽  
C. M. de Sterke
Keyword(s):  
Two Dimensions ◽  
Mobility Edge

Evidence of a mobility edge for photons in two dimensions

2007 ◽  
Vol 75 (1) ◽  
Author(s):  
A. A. Asatryan ◽  
L. C. Botten ◽  
M. A. Byrne ◽  
R. C. McPhedran ◽  
C. M. de Sterke
Keyword(s):  
Two Dimensions ◽  
Mobility Edge

scholarly journals Electron-Phonon Decoupling in Two Dimensions

2021 ◽  
Author(s):  
George McArdle ◽  
Igor V. Lerner
Keyword(s):  
Electron Temperature ◽  
Cooling Rate ◽  
Two Dimensions ◽  
Electronic Systems ◽  
Two Dimensional ◽  
Many Body ◽  
Current Voltage ◽  
Current Voltage Characteristics

Abstract In order to observe many-body localisation in electronic systems, decoupling from the lattice phonons is required, which is possible only in out-of-equilibrium systems. We show that such an electron-phonon decoupling may happen in suspended films and it manifests itself via a bistability in the electron temperature. By studying the electron-phonon cooling rate in disordered, suspended films with two-dimensional phonons, we derive the conditions needed for such a bistability, which can be observed experimentally through hysteretic jumps of several orders of magnitude in the nonlinear current-voltage characteristics. We demonstrate that such a regime is achievable in systems with an Arrhenius form of the equilibrium conductivity, while practically unreachable in materials with Mott or Efros-Shklovskii hopping.

scholarly journals Observation of bending wave localization and quasi mobility edge in two dimensions

1992 ◽  
Vol 69 (21) ◽  
pp. 3080-3083 ◽  
Author(s):  
Ling Ye ◽  
George Cody ◽  
Minyao Zhou ◽  
Ping Sheng ◽  
Andrew N. Norris
Keyword(s):  
Two Dimensions ◽  
Wave Localization ◽  
Mobility Edge ◽  
Bending Wave

The tangled web of agency

2018 ◽  
Vol 41 ◽  
Author(s):  
Alain Pe-Curto ◽  
Julien A. Deonna ◽  
David Sander
Keyword(s):  
Two Dimensions ◽  
Bad Company

AbstractWe characterize Doris's anti-reflectivist, collaborativist, valuational theory along two dimensions. The first dimension is socialentanglement, according to which cognition, agency, and selves are socially embedded. The second dimension isdisentanglement, the valuational element of the theory that licenses the anchoring of agency and responsibility in distinct actors. We then present an issue for the account: theproblem of bad company.

A transmission electron microscopic study of structural transitions in fast ionic conductors

1987 ◽  
Vol 45 ◽  
pp. 156-157
Author(s):  
R. B. Queenan ◽  
P. K. Davies
Keyword(s):  
Optical Properties ◽  
Ionic Conduction ◽  
Recent Observation ◽  
Ionic Conductivities ◽  
Sodium Aluminate ◽  
Two Dimensions ◽  
Ionic Conductors ◽  
Electron Microscopic ◽  
Transmission Electron ◽  
Trivalent Cations

Na ß“-alumina (Na1.67Mg67Al10.33O17) is a non-stoichiometric sodium aluminate which exhibits fast ionic conduction of the Na+ ions in two dimensions. The Na+ ions can be exchanged with a variety of mono-, di-, and trivalent cations. The resulting exchanged materials also show high ionic conductivities.Considerable interest in the Na+-Nd3+-ß“-aluminas has been generated as a result of the recent observation of lasing in the pulsed and cw modes. A recent TEM investigation on a 100% exchanged Nd ß“-alumina sample found evidence for the intergrowth of two different structure types. Microdiffraction revealed an ordered phase coexisting with an apparently disordered phase, in which the cations are completely randomized in two dimensions. If an order-disorder transition is present then the cooling rates would be expected to affect the microstructures of these materials which may in turn affect the optical properties. The purpose of this work was to investigate the affect of thermal treatments upon the micro-structural and optical properties of these materials.

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