Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Demonstration of Magnetization Pleateaus and First Order
  Dimer-N\'eel Phase Transitions in a Modified Shastry-Sutherland Model for
  SrCu$_2$(BO$_3$)$_2$   We study a generalized Shastry-Sutherland model for the material
SrCu$_2$(BO$_3$)$_2$. Along a line in the parameter space, we can show
rigorously that the model has a first order phase transition between Dimerized
and N\'eel-ordered ground states. Furthermore, when a magnetic field is applied
in the Dimerized phase, magnetization plateaus develop at commensurate values
of the magnetization. We also discuss various aspects of the phase diagram and
properties of this model away from this exactly soluble line, which include
gap-closing continuous transitions between Dimerized and magnetically ordered
phases.

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The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga