Magnetization Process from Chern Simons Theory and its Applications to SrCu2(BO3)2

Authors: 
Jolicœur, Thierry and Misguich, Grégoire and Girvin, Steven M.
Name of the Journal: 
Progress of Theoretical Physics Supplement
Proceedings, Conference, Subtitle or Series: 
Proceedings of the 16th Nishinomiya-Yukawa Memorial Symposium, Nishinomiya, Japan, Nov. 2001
Date of Pub: 
February 1, 2002
Year of Publication: 
2002
Volume: 
145
Pages: 
76-84
Abstract: 

In two-dimensional systems, it is possible transmute bosons into fermions by use of a Chern-Simons gauge field. Such a mapping is used to compute magnetization processes of two-dimensional magnets. The calculation of the magnetization curve then involves the structure of the Hofstadter problem for the lattice under consideration. Certain features of the Hofstadter butterfly are shown to imply the appearance of magnetization plateaus. While not always successful, this approach leads to interesting results when applied to the 2D AF magnet SrCu2(BO3)2

DOI Link: 
10.1143/PTPS.145.76
arXiv.org Number: 
cond-mat/0204161