Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trial wave functions for a Composite Fermi liquid on a torus   We study the two-dimensional electron gas in a magnetic field at filling
fraction $\nu=\frac{1}{2}$. At this filling the system is in a gapless state
which can be interpreted as a Fermi liquid of composite fermions. We construct
trial wave functions for the system on a torus, based on this idea, and
numerically compare these to exact wave functions for small systems found by
exact diagonalization. We find that the trial wave functions give an excellent
description of the ground state of the system, as well as its charged
excitations, in all momentum sectors. We analyze the dispersion of the
composite fermions and the Berry phase associated with dragging a single
fermion around the Fermi surface and comment on the implications of our results
for the current debate on whether composite fermions are Dirac fermions.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ