scholarly journals Dual theory of the superfluid-Bose-glass transition in the disordered Bose-Hubbard model in one and two dimensions

1998 ◽  
Vol 57 (21) ◽  
pp. 13729-13742 ◽  
Author(s):  
Igor F. Herbut
Keyword(s):  
Glass Transition ◽  
Hubbard Model ◽  
Two Dimensions ◽  
Dual Theory ◽  
Bose Glass

scholarly journals Critical Properties of the Superfluid—Bose-Glass Transition in Two Dimensions

2015 ◽  
Vol 114 (15) ◽  
Author(s):  
Juan Pablo Álvarez Zúñiga ◽  
David J. Luitz ◽  
Gabriel Lemarié ◽  
Nicolas Laflorencie
Keyword(s):  
Glass Transition ◽  
Two Dimensions ◽  
Critical Properties ◽  
Bose Glass

Bose-glass transition in Ag/BSCCO-2223 irradiated tapes

2004 ◽  
Vol 408-410 ◽  
pp. 32-33 ◽  
Author(s):  
D. Botta ◽  
A. Chiodoni ◽  
R. Gerbaldo ◽  
G. Ghigo ◽  
L. Gozzelino ◽  
...  
Keyword(s):  
Glass Transition ◽  
Bose Glass

Crystal to Glass Transition and Melting in Two Dimensions

1993 ◽  
Vol 321 ◽  
Author(s):  
M. Li ◽  
W. L. Johnson ◽  
W. A. Goddard
Keyword(s):  
Glass Transition ◽  
Intermediate Phase ◽  
Orientational Order ◽  
Finite Size ◽  
Two Dimensions ◽  
Size Difference ◽  
Two Dimensional ◽  
Atomic Size ◽  
Bond Orientational Order ◽  
Dynamics Simulations

ABSTRACTThermodynamic properties, structures, defects and their configurations of a two-dimensional Lennard-Jones (LJ) system are investigated close to crystal to glass transition (CGT) via molecular dynamics simulations. The CGT is achieved by saturating the LJ binary arrays below glass transition temperature with one type of the atoms which has different atomic size from that of the host atoms. It was found that for a given atomic size difference larger than a critical value, the CGT proceeds with increasing solute concentrations in three stages, each of which is characterized by distinct behaviors of translational and bond-orientational order correlation functions. An intermediate phase which has a quasi-long range orientational order but short range translational order has been found to exist prior to the formation of the amorphous phase. The destabilization of crystallinity is observed to be directly related to defects. We examine these results in the context of two dimensional (2D) melting theory. Finite size effects on these results, in particular on the intermediate phase formation, are discussed.

scholarly journals Patterned geometries and hydrodynamics at the vortex Bose glass transition

1999 ◽  
Vol 59 (21) ◽  
pp. 13624-13627 ◽  
Author(s):  
M. Cristina Marchetti ◽  
David R. Nelson
Keyword(s):  
Glass Transition ◽  
Bose Glass

scholarly journals Averaging over Narain moduli space

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Alexander Maloney ◽  
Edward Witten
Keyword(s):  
Einstein Gravity ◽  
Two Dimensions ◽  
Three Dimensions ◽  
One Dimension ◽  
Simons Theory ◽  
Two Dimensional ◽  
Dual Theory ◽  
Recent Developments ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract Recent developments involving JT gravity in two dimensions indicate that under some conditions, a gravitational path integral is dual to an average over an ensemble of boundary theories, rather than to a specific boundary theory. For an example in one dimension more, one would like to compare a random ensemble of two-dimensional CFT’s to Einstein gravity in three dimensions. But this is difficult. For a simpler problem, here we average over Narain’s family of two-dimensional CFT’s obtained by toroidal compactification. These theories are believed to be the most general ones with their central charges and abelian current algebra symmetries, so averaging over them means picking a random CFT with those properties. The average can be computed using the Siegel-Weil formula of number theory and has some properties suggestive of a bulk dual theory that would be an exotic theory of gravity in three dimensions. The bulk dual theory would be more like U(1)2D Chern-Simons theory than like Einstein gravity.

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