[Show abstract][Hide abstract] ABSTRACT: We study the dynamics of doublon in the half-filled Hubbard model on the
triangular lattice by using the cellular dynamical mean field theory.
Investigating the nearest-neighbor dynamical correlations, we demonstrate that
a nearest-neighbor doublon-holon pair shows a strong attraction, in particular
in the insulating phase. We also calculate the on-site dynamical correlation of
doublon and find that the life time of doublon is longer in the metallic phase
than in the insulating phase. In the long-time region, the metallic phase has
persistent fluctuations in various nearest-neighbor configurations, while the
fluctuations are vanishingly small in the insulating phase. Obtained results
indicate clear differences of dynamics of doublon between in the metallic and
in the insulating phases.
Physical Review B 04/2014; 90(11). DOI:10.1103/PhysRevB.90.115114 · 3.74 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We numerically study electric transport near the Mott metal-insulator
transition for the half-filled Hubbard model on a triangular lattice.
Our approach is a cellular dynamical mean field theory (CDMFT) with a
continuous-time QMC solver and we calculate optical conductivity
including vertex corrections. The main issue is the variation of optical
conductivity upon controlling Coulomb repulsion U for various
temperatures. Near the Mott critical end point, a Drude peak on the
metallic side smoothly continues to an ``ingap" peak emerging within the
Hubbard gap on the insulating side. We find a critical power-law
behavior in their U-dependence near the critical point. The obtained
critical exponent 1/δ=0.15 of the optical weight differs from the
exponent 1/δ=1/3 of the order parameter (double occupancy) in the
CDMFT calculations. This discrepancy suggests that conductivity does not
have the same scaling behavior as that for the order parameter[1]. [1]T.
Sato, K. Hattori, and H. Tsunetsugu, J. Phys. Soc. Jpn. 81, 083703
(2012).
[Show abstract][Hide abstract] ABSTRACT: We study electric transport near the Mott metal-insulator transition in a
triangular-lattice Hubbard model at half filling. We calculate optical
conductivity $\sigma(\omega)$ based on a cellular dynamical mean field theory
including vertex corrections inside the cluster. Near the Mott critical end
point, a Drude analysis in the metallic region suggests that the change in the
Drude weight is important rather than that in the transport scattering rate for
the Mott transition. In the insulating region, there emerges an "ingap" peak in
$\sigma(\omega)$ at low $\omega$ near the Mott transition, and this smoothly
connects to the Drude peak in the metallic region with decreasing Coulomb
repulsion. We find that the weight of these peaks exhibits a power-law behavior
upon controlling Coulomb repulsion at the critical temperature. The obtained
critical exponent suggests that conductivity does not correspond to
magnetization or energy density of the Ising universality class in contrast to
several previous works.
[Show abstract][Hide abstract] ABSTRACT: We examine the validity of the projected Gross-Pitaevskii simulation by taking the two-dimensional homogeneous bosonic system as an example. The long-distance behaviors of the correlation function and equilibrium temperatures show good agreement with those of the quantum Monte Carlo calculations below temperatures near the Kosterlitz-Thouless transition. We find that in the projected Gross-Pitaevskii description, one needs to estimate the optimal wave-number cutoff in temperature. In the well-described region, the projected Gross-Pitaevskii equation presents reliable predictions for the long-wave bosonic components.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 05/2012; 85(5). DOI:10.1103/PhysRevE.85.050105 · 2.81 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We study electric transport near the Mott metal-insulator transition. Optical
conductivity of the half-filled Hubbard model on a triangular lattice is
calculated based on a cellular dynamical mean field theory including vertex
corrections inside the cluster. By investigating the spectrum at low
frequencies, we find that a Drude peak on the metallic side smoothly connects
to an "ingap" peak on the insulating side. The optical weight of these peaks
exhibits a critical behavior with power-law near the Mott critical end point,
$|D-D^*|\propto|U-U^*|^{1/\delta}$. We find that the critical exponent
$1/\delta$ differs from the exponents in the thermodynamics.
Journal of the Physical Society of Japan 11/2011; 81(8). DOI:10.1143/JPSJ.81.083703 · 1.59 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We study optical conductivity of the one-band Hubbard model on a two-dimensional isotropic triangular lattice at half filling by using the cellular dynamical mean field theory and particularly investigate its behavior near the critical end point of the first order Mott transition. In the metallic phase, the enhancement of effective mass and the significant frequency dependence of scattering rate is identified near the Mott transition. From the results in the insulating state near the Mott transition, we find that the frequency dependence of optical conductivity decays quite smoothly toward zero frequency and exhibits a power-law-like behavior in an intermediate frequency region. We also study optical conductivity of the Hubbard model on a kagomé lattice near the critical end point of the Mott transition. It shows a larger incoherent peak both in the metallic and insulating phases and a stronger frequency dependence of effective mass and scattering rate.
Journal of Physics Conference Series 09/2011; 320(1):012064. DOI:10.1088/1742-6596/320/1/012064
[Show abstract][Hide abstract] ABSTRACT: We study the finite-temperature transition of the quasi-2D Bose gas in an uniaxially-compressed harmonic trap by numerically solving the projected Gross-Pitaevskii equation. Gradual emergence of superfluidity is confirmed by calculating the moment of inertia when a temperature decreases. By investigating the long-distance behavior of a phase correlation function, superfluid density gradually increases reflecting the development of the phase correlation around the center of the system. From these results, we obtain the evidence for the emergence of superfluidity in this system directly.
Journal of Physics Conference Series 03/2009; 150(3):032094. DOI:10.1088/1742-6596/150/3/032094