Our main research interest is Strongly
Correlated Electron Systems. Among many
subjects in this field we specially work on quantum magnetism (spin systems at
low dimensions, frustrated spin models, ferrimagnets),
quantum information aspects of quantum critical
behaviors, topological phases, and many-body
localization.
Strongly correlated electron systems cover a wide class of
materials and models that show unusual electronic and
magnetic properties such as metal-insulator and high-Tc
superconductivity. The common feature of this systems is the
existence of strong correlations between the electrons which
can not be explained effectively in terms of single particle
picture. The ground state is the most important state which
is responsible for the exotic behavior in strongly
correlated electron systems.
Our main research interest is the investigation of ground
state phase diagram of such models specially for magnetic
materials. The classification of different phases and
quantum phase transition between them are part of our
investigations. Quantum phase transitions are induced by the
change of an external parameter or coupling constant, and
are driven by quantum fluctuations. The role of quantum
correlations can be understood in terms of quantum
information properties of the model. This motivate us to
look for the quantum information aspects of a quantum phase
transition. We also investigate the exact ground state of
some spin models.
Moreover, the effect of disorder and loss on the
localization of light in the optical wave guides opens
another interesting window in our research plan.
We implement both numerical (exact diagonalization Lanczos,
density matrix renormalization group, tree-tensor network)
and analytical methods (quantum renormalization group, spin
wave theory) in our study.
For more information you may have a look at our publications. However We are always open to discuss on the new topics.