- Institute of Industrial Science, University of Tokyo,
4-6-1 Komaba, Meguro, Tokyo 153-8505 - +81 3 5452 6154
Naomichi Hatano
The University of Tokyo, Institute of Industrial Science, Faculty Member
- statistical physics, quantum physics, condensed-matter physicsedit
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
ABSTRACT
Research Interests:
Research Interests:
Research Interests:
Research Interests:
A combination of finite-size scaling and perturbational expansion is formulated for analyses of phase diagrams. This approach is useful particularly in quantum ground-state transitions. The slope of the phase boundary and the variation of... more
A combination of finite-size scaling and perturbational expansion is formulated for analyses of phase diagrams. This approach is useful particularly in quantum ground-state transitions. The slope of the phase boundary and the variation of an exponent along the boundary can be numerically estimated.
Research Interests:
A Monte Carlo algorithm for the random Boson Hubbard model is reported. The analytic expression of the matrix elements is presented, and the ergodicity of the Monte Carlo flips is discussed. The results in one dimension supports a... more
A Monte Carlo algorithm for the random Boson Hubbard model is reported. The analytic expression of the matrix elements is presented, and the ergodicity of the Monte Carlo flips is discussed. The results in one dimension supports a previously proposed perturbational scaling argument.
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
A new critical-amplitude relation which holds for one-dimensional quantum ground-state transitions is presented. The relation yields an estimate of the sound velocity which appears in the conformal field theory as an a priori unknown... more
A new critical-amplitude relation which holds for one-dimensional quantum ground-state transitions is presented. The relation yields an estimate of the sound velocity which appears in the conformal field theory as an a priori unknown parameter. With the use of this relation, the exponent eta can be explicitly determined from only the scaling fit of the off-critical energy gap. The relation is confirmed in the transverse Ising model, the S= 1/2 anisotropic XY model, and the three-state Potts model.
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
We carried out a wind tunnel experiment on aeolian transport of sand. Fluorescence‐dyed grains of sand were embedded in the sand bed in a wind tunnel, and their dispersion was recorded by a video camera. Dispersion of colored sand both... more
We carried out a wind tunnel experiment on aeolian transport of sand. Fluorescence‐dyed grains of sand were embedded in the sand bed in a wind tunnel, and their dispersion was recorded by a video camera. Dispersion of colored sand both downwind and in the crosswind direction are examined. The concentration of colored sand decreases as an exponential function of the downwind distance y, Ae−κy, whereas the cross‐sectional distribution is approximated by a Gaussian distribution with the standard deviation proportional to . The characteristic length scale is 1000 times greater in the downwind than in the crosswind direction. A simple stochastic model is proposed to explain these findings. We also found that our experimental results conform to the assumptions of the Werner model, which reproduces aeolian dune dynamics well. We derived conditions on the parameters of the Werner model from the experimental results and suggest the applicability of the Werner model to real problems such as s...
Research Interests:
Research Interests:
Research Interests:
ABSTRACT
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Research Interests:
Superfluid-insulator transitions are studied for theground state of the Boson Hubbard model with random potentials. Thetopology of the phase diagram is discussed. Reentrant transitionsbetween the superfluid phase and the Bose-glass... more
Superfluid-insulator transitions are studied for theground state of the Boson Hubbard model with random potentials. Thetopology of the phase diagram is discussed. Reentrant transitionsbetween the superfluid phase and the Bose-glass insulator phase arefound in an arbitrary number of dimensions. The present results arebased on a perturbational scaling argument and a quantum Monte Carlocalculation. The Monte Carlo algorithm is also reported in detail.
Research Interests:
Research Interests: Physics, Microwave, Localization, Fractals, Electromagnetic Waves, and 15 moreMathematical Sciences, Physical sciences, Resonance, Terahertz, Fractal, Eigenvalues, Dielectric Constant, Microwave radiation, Reflectivity, Electromagnetic wave propagation, Transfer Matrix Method, Transmission Coefficient, Amplitude, Resonant Frequency, and Total Reflection
ABSTRACT
Research Interests:
It is shown phenomenologically that the double-cluster approximation is canonical in the sense of the CAM theory, namely that the coherent anomaly appearing in a series of double-cluster approximations gives asymptotically correct values... more
It is shown phenomenologically that the double-cluster approximation is canonical in the sense of the CAM theory, namely that the coherent anomaly appearing in a series of double-cluster approximations gives asymptotically correct values of critical exponents without any logarithmic correction. This is a basic property desired in the CAM.