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Norio Kawakami

Publications and source records attributed to Norio Kawakami.

171 records · Page 10Linked to original sources
arXiv1996

Effect of Umklapp Scattering on the Conductance in Quantum Wires

We investigate the system-size dependence as well as the temperature dependence of the conductance in 1D electron systems, paying particular attention to the effect of Umklapp scattering. By taking into account the renormalization of the external potential due to electron-electron interaction, the correction to the conductance, 2e^2/h, due to Umklapp scattering is estimated perturbatively. The Tomonaga-Luttinger liquid parameter appears in the conductance via the system-size and temperature dependence.

cond-mat.mes-hall↗
arXiv1996

Competition between the Mott transition and the Anderson localization in 1D disordered interacting electron systems

The competition between the Mott transition and the Anderson localization in one dimensional electron systems is studied based upon the bosonization and the renormalization group method. The beta function is calculated up to the second order in the strength of diagonal disorder by using a replica trick. It is found that the sufficiently strong forward scattering by random impurities destroys the Mott-Hubbard gap, and the backward scattering gives rise to the Anderson localization for the resulting gapless state. On the other hand, if the Umklapp interaction is strong enough, the Mott insulating state still overwhelms the Anderson localization.

cond-mat↗
arXiv1996

Comment on ``On the Renormalization of Conductance in Tomonaga-Luttinger Liquid''

Recently Kawabata found that the conductance in Tomonaga-Luttinger (TL) liquids should not be renormalized if one incorporates the renormalization of applied fields correctly. This claim is generalized to include the interactions which carry the large momentum transfer. We thus find that Kawabata's conclusion holds generally for the class of TL liquids. A key observation is that such irrelevant interactions merely renormalize the velocity and the TL parameter at the massless TL fixed point.

cond-mat↗
arXiv1995

Exact finite-size spectrum for the multi-channel Kondo model and Kac-Moody fusion rules

The finite-size spectrum for the multi-channel Kondo model is derived analytically from the exact solution, by mapping the nontrivial Z$_{n}$ part of the Kondo scattering into that for the RSOS model coupled with the impurity. The analysis is performed for the case of $n-2S=1$, where $n$ is the number of channel and $S$ is the impurity spin. The result obtained is in accordance with the Kac-Moody fusion hypothesis proposed by Affleck and Ludwig.

cond-mat↗
arXiv1995

Critical Properties of the Calogero-Sutherland Model with Boundaries

Critical properties of the Calogero-Sutherland model of $BC_N$-type ($BC_N$-CS model) are studied. Using the asymptotic Bethe-ansatz spectrum of the $BC_N$-CS model, we calculate finite-size corrections in the energy spectrum. Since the $BC_N$-CS model does not possess translational invariance, the finite-size spectrum acquires the contributions coming from ``boundaries''. We show that the low-energy critical behavior of the model is described by $c=1$ boundary conformal field theory. Thus the universality class of the model is identified as a chiral Tomonaga-Luttinger liquid.

cond-mat↗
arXiv1994

Haldane's Fractional Exclusion Statistics for Multicomponent Systems

The idea of fractional exclusion statistics proposed by Haldane is applied to systems with internal degrees of freedom, and its thermodynamics is examined. In case of one dimension, various bulk quantities calculated show that the critical behavior of such systems can be described by $c=1$ conformal field theories and conformal weights are completely characterized by statistical interactions. It is also found that statistical interactions have intimate relationship with a topological order matrix in Chern-Simons theory for the fractional quantum Hall effect.

cond-mat↗
arXiv1994

Critical Properties of Quantum Many-Body Systems with 1/r^2 Interaction

We review recent results obtained for a class of one-dimensional quantum models with $1/r^2$ long-range interaction. Based on the asymptotic Bethe-ansatz solution and conformal field theory, we study critical properties of the continuum boson model, the SU($ν$) spin chain, the OSp($ν$,1) supersymmetric {\it t-J} model, and a new hierarchy of models related to the fractional quantum Hall effect. We further investigate the class of $1/r^2$ models with harmonic confinement by means of a newly proposed method of the renormalized-harmonic oscillator solution.

cond-mat↗
arXiv1993

Persistent Currents in Mesoscopic Hubbard Rings with Spin-Orbit Interaction

The effect of spin-orbit interaction on persistent currents in mesoscopic Hubbard rings threaded by an Aharonov-Bohm flux is investigated putting stress on the orbital magnetism. The non-perturbative treatment of the spin-orbit interaction developed by Meir {\em et al.} is combined with the Bethe ansatz solution to deal with this problem exactly. We find that the interplay of spin-orbit interaction and electron-electron interaction plays a crucial role, bringing about some new effects on the orbital magnetism.

cond-mat↗