dc.contributor.author Leong, Wui Seng dc.date.accessioned 2014-06-03T06:14:21Z dc.date.available 2014-06-03T06:14:21Z dc.date.copyright 2014 en_US dc.date.issued 2014 dc.identifier.uri http://hdl.handle.net/10356/60937 dc.description.abstract Physicists are interested on the physical properties during the phase transition of lattices under various Hamiltonian model. In this project, we are dealing with the hard core boson in the Shastry-Sutherland model under the Bose-Hubbard Hamiltonian model, where the diagonal bonds and square (vertical and horizontal) bonds are of different strength. We only focus on the low temperature since we want to search its Bose glass phase. In this project, 4 physical properties are determined: boson density, structure factor, stiffness and energy, by using the one of the quantum Monte Carlo methods called the \emph{stochastic series expansion}. en_US Stochastic series expansion was studied thoroughly and instead of using the quantum states $\alpha$, it uses $\left\{ \alpha,S_{M}\right\}$ as the sample configuration where $S_{M}$ is the set of permutation of $M$ bond operators. The Monte Carlo simulation, which consists of 3 types of updates (namely diagonal update, off-diagonal/loop update and site update), was written by \CC and it was verified with the analytical solution of $2\times2$ lattice. It was realised that the system consists of 3 different states: dimer, checkerboard and superfluid, where superfluid lies as the intermediate state'' between dimer and checkerboard. dc.format.extent 66 p. en_US dc.language.iso en en_US dc.subject DRNTU::Science::Physics::Atomic physics::Solid state physics en_US dc.subject DRNTU::Science::Physics::Atomic physics::Statistical physics en_US dc.title Search for bose glass phase in the Shastry-Sutherland model en_US dc.type Final Year Project (FYP) en_US dc.contributor.school School of Physical and Mathematical Sciences en_US dc.description.degree Bachelor of Science in Physics en_US dc.contributor.supervisor2 Pinaki Sengupta en_US
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