Shi-Jie Yang

Exploring complex networks by walking on them

We carry out a comparative study of the problem of a walker searching several typical complex networks. The search efficiency is evaluated for various strategies. Having no knowledge of the global properties of the underlying networks and the optimal path between any two given nodes, it is found that the best search strategy is the self-avoiding random walk. The preferentially self-avoiding random walk does not help in improving the search efficiency further. In return, topological information of the underlying networks may be drawn by comparing the results of the different search strategies.

Transport of the graphene electrons through a magnetic superlattice

We studied the transport of graphene electrons through lateral magnetic barriers. The relativistic electrons experience resonant tunneling through two adjacent but opposite magnetic field regions. For a periodic structure fabricated with such magnetic barriers, the resonant tunneling peak further splits into several sharp spikes. The conductance also shows oscillation with the Fermi energy.

Extended Bose-Hubbard model on a honeycomb lattice

We study the extended Bose-Hubbard model on a two-dimensional honeycomb lattice by using large scale quantum Monte Carlo simulations. We present the ground state phase diagrams for both the hard-core case and the soft-core case. For the hard-core case, the transition between

Analytical solutions to the spin-1 Bose?Einstein condensates

\rho=1/2

Exact solitons and manifold mixing dynamics in the spin-orbit–coupled spinor condensates

solid and the superfluid is first order and the supersolid state is unstable towards phase separation. For the soft-core case, due to the presence of the multiple occupation, a stable particle induced supersolid (SS-p) phase emerges when

Giant vortex and skyrmion in a rotating two-species Bose-Einstein condensate

1/2<\rho<1

Correlated states of two-dimensional electrons in higher Landau levels

. The transition from the solid at

Solitons and vortices in an evolving Bose-Einstein condensate

\rho=1/2

Paired Hall states versus unidirectional CDW in a tilted field for nu=5/2

to the SS-p is second order with the superfluid density scaling as

Fermionic superfluidity and spontaneous superflows in optical lattices

\rho_{s} \sim \rho-1/2