496 citations · 2k across the 70 of their papers we have counts for
19 papers · 1 filter
Stability of the vortex lattice in D-wave superconductors
J. Shiraishi, M. Kohmoto, K. Maki
Use is made of Onsager's hydrodynamic equation to derive the vibration spectrum of the vortex lattice in d-wave superconductor. In particular the rhombic lattice (i.e. the $45^\cir…
Vortex lattice transition in D-wave superconductors
Jun'ichi Shiraishi, Mahito Kohmoto, Kazumi Maki
Making use of the extended Ginzburg Landau theory, which includes the fourth order derivative term, we study the vortex state in a magnetic field parallel to the axis. The vor…
Molecular conductors with two-chain orbitals
H. Tajima, J. Shiraishi, M. Kohmoto
We investigate a theoretical model applicable to molecular conductors, such as TTP and salts [M=Ni, Pd, Pt], whose charge carriers orig inate from two kinds of molecula…
Quasi-particle spectra around a single vortex in a d-wave superconductor
Y. Morita, M. Kohmoto, K. Maki
Using the Bogoliubov-de Gennes equation, we study quasi-particle spectra around a single vortex in a d-wave superconductor, where a magnetic field is parallel to the c-axis. In the…
Quasiperiodic Modulated-Spring Model
H. Hiramoto, Mahito Kohmoto
We study the classical vibration problem of a chain with spring constants which are modulated in a quasiperiodic manner, {\it i. e.}, a model in which the elastic energy is $\sum_j…
Current and charge distributions of the fractional quantum Hall liquids with edges
Jun'ichi Shiraishi, Mahito Kohmoto
An effective Chern-Simons theory for the quantum Hall states with edges is studied by treating the edge and bulk properties in a unified fashion. An exact steady-state solution is…
Disordered Critical Wave functions in Random Bond Models in Two Dimensions -- Random Lattice Fermions at without Doubling
Yasuhiro Hatsugai, Xiao-Gang Wen, Mahito Kohmoto
Random bond Hamiltonians of the flux state on the square lattice are investigated. It has a special symmetry and all states are paired except the ones with zero energy. Because…
Superconducting correlation in the one-dimensional - model with anisotropic spin interaction and broken parity
J. Shiraishi, Y. Morita, M. Kohmoto
A variant of the one-dimensional - model with anisotropic spin interaction and broken parity is studied by the nested algebraic Bethe-ansatz method. The gapless charge excita…
Exact ground-state correlation functions of the one-dimensional strongly correlated electron models with the resonating-valence-bond ground state
Masanori Yamanaka, Shinsuke Honjo, Yasuhiro Hatsugai +1
We investigate the one-dimensional strongly correlated electron models which have the resonating-valence-bond state as the exact ground state. The correlation functions are evaluat…
Mutual Exclusion Statistics in the Exactly Solvable Model of the Mott Metal-Insulator Transition
Yasuhiro Hatsugai, Mahito Kohmoto, Tohru Koma +1
We study statistical characterization of the many-body states in the exactly solvable model with internal degree of freedom in more than one dimension. The model exhibits the Mott…
Hidden Massive Spectators in the Effective Field Theory for Integral Quantum Hall Transitions
Yasuhiro Hatsugai, Mahito Kohmoto, Yong-Shi Wu
Integral quantum Hall plateau transitions in a planar lattice system due to gap collapse can be described by an effective field theory with Dirac fermions. We discuss how to reprod…
Quantum Group, Bethe Ansatz and Bloch Electrons in a Magnetic Field
Y. Hatsugai, M. Kohmoto, Y. -S. Wu
The wave functions for two dimensional Bloch electrons in a uniform magnetic field at the mid-band points are studied with the help of the algebraic structure of the quantum group…
Edge and Bulk of the Fractional Quantum Hall Liquids
Naoto Nagaosa, Mahito Kohmoto
An effective Chern-Simons theory for the Abelian quantum Hall states with edges is proposed to study the edge and bulk properties in a unified fashion. We impose a condition that t…
Conductivity of 2D lattice electrons in an incommensurate magnetic field
Masahito Takahashi, Yasuhiro Hatsugai, Mahito Kohmoto
We consider conductivities of two-dimensional lattice electrons in a magnetic field. We focus on systems where the flux per plaquette is irrational (incommensurate flux). To re…
Mutual Exclusion Statistics in Exactly Solvable Models in One and Higher Dimensions at Low Temperatures
Y. Hatsugai, M. Kohmoto, T. Koma +2
We study statistical characterization of the many-body states in exactly solvable models with internal degrees of freedom. The models under consideration include the isotropic and…
Universal Correlations in the random matrices and 1D particles with long range interactions in a confinement potential
Y. Morita, Y. Hatsugai, M. Kohmoto
We study the correlations between eigenvalues of the large random matrices by a renormalization group approach. The results strongly support the universality of the correlations pr…
Universal Behavior of Correlations between Eigenvalues of Random Matrices
T. S. Kobayakawa, Y. Hatsugai, M. Kohmoto +1
The universal connected correlations proposed recently between eigenvalues of unitary random matrices is examined numerically. We perform an ensemble average by the Monte Carlo sam…
Critical and bicritical properties of Harper's equation with next nearest neighbor coupling
J. H. Han, D. J. Thouless, H. Hiramoto +1
We have exploited a variety of techniques to study the universality and stability of the scaling properties of Harper's equation, the equation for a particle moving on a tight-bind…
Explicit Solutions of the Bethe Ansatz Equations for Bloch Electrons in a Magnetic Field
Yasuhiro Hatsugai, Mahito Kohmoto, Yong-Shi Wu
For Bloch electrons in a magnetic field, explicit solutions are obtained at the center of the spectrum for the Bethe ansatz equations recently proposed by Wiegmann and Zabrodin. Wh…