dc.contributor.authorLeong, Wui Seng
dc.description.abstractPhysicists 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}. 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.en_US
dc.format.extent66 p.en_US
dc.subjectDRNTU::Science::Physics::Atomic physics::Solid state physicsen_US
dc.subjectDRNTU::Science::Physics::Atomic physics::Statistical physicsen_US
dc.titleSearch for bose glass phase in the Shastry-Sutherland modelen_US
dc.typeFinal Year Project (FYP)en_US
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.description.degreeBachelor of Science in Physicsen_US
dc.contributor.supervisor2Pinaki Senguptaen_US

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