Identifying experimental relevant models which demonstrate
new strong coupling states is one of the central topics in condensed-matter
physics. Here, we present "Proof of Principle" evidence of a spin-liquid
phase in Mott material with spin 1/2 electron on each kagome lattice.
We find that the ground state is a magnetically disordered
spin liquid without symmetry breaking. Our research may provide some insight into
the exotic behavior found in the newly synthesized
[O.Ofer et al.2006,
P.Mendels et al.2007,
J.S.Helton et al.2007
Phys. Rev. Lett. 101, 117203 (2008)
Dirac fermion system in graphene is studied numerically.
In strong magnetic field, a symmetry broken charge density wave
is predicted as the ground state in the excited Landau levels.
Such a quantum phase is experimentally observable through transport
Phys. Rev. Lett. 100, 116802 (2008)
We develop a theoretical framework to
to explore the 2D strong coupling phases from controlled numerical and
analytical studies in quasi-one-dimension.
As a first step we explore itinerant-boson models with a frustrating ring-exchange interaction on the two-leg
ladder, searching for signatures of the recently proposed two-dimensional d-wave-correlated Bose liquid
Phys. Rev. B 78, 054520 (2008)
We predict a strong interaction induced odd integer quantum Hall effect
in higher Landau levels for graphene electron systems.
Phys. Rev. Lett. 99, 196802 (2007)
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