A mean-field phase diagram using second perturbation theory in the <em>U</em> − μ plane
Apurba Barman
Saurabh Basu
10.6084/m9.figshare.1011982.v1
https://iop.figshare.com/articles/figure/_A_mean_field_phase_diagram_using_second_perturbation_theory_in_the_em_U_em__plane/1011982
<p><strong>Figure 2.</strong> A mean-field phase diagram using second perturbation theory in the <em>U</em> − μ plane. The value of nearest-neighbour exchange is taken to be 0.65<em>U</em>.</p> <p><strong>Abstract</strong></p> <p>We investigate the phase diagram of interacting bosons in a tripartite lattice in two dimensions. An analytic computation of the phase diagram in the parameter space defined by the on-site boson–boson repulsion parameter and the chemical potential is done via a second-order strong coupling perturbation theory on the extended Bose–Hubbard model, which is hence supplemented by numerical mean-field calculations. Interesting results emerge in the form of exotic density ordered phases with one-third, two-third and unity filling of bosons per trimer. The pattern repeats as the chemical potential is increased. Further regions of supersolid and superfluid phases are noted in the numerical study of the mean-field model where the phase diagram shows a transition from compressible to insulating phases.</p>
2013-06-10 00:00:00
transition
density
superfluid phases
region
compressible
parameter space
figure
0.65 U
dimension
repulsion
model
phase diagram
bose
bosons
perturbation theory
calculation
trimer
computation
lattice
supersolid
pattern
Interesting results
boson
chemical
unity
abstract
Atomic Physics
Molecular Physics