Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես

Date of publication:

2023

Volume:

16

Number:

3

ISSN:

1829-1171

Official URL:

Corporate Creators:

Department of Physics and Physical Oceanography University of North Carolina Wilmington

Coverage:

109-113

Abstract:

We revisit the seminal 1968 proof of the absence of crystalline order in two dimensions and analyze the importance played in the quantum theorem by the assumption of local pair potentials. We relax the assumption of local potentials and consider instead nonlocal pair potentials. We show that the 1/k2-singularity that occurs in the Bogoliubov inequality, which leads to no crystalline order in two dimensions for local potentials and nonzero temperatures, does not occur for nonlocal potentials. Accordingly, crystalline order in one and two dimensions cannot be ruled out for nonlocal pair potentials at finite temperatures.

Format:

pdf

Identifier:

click here to follow the link ; oai:arar.sci.am:366943

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան