Studies of low dimensional quantum spin systems by numerical renormalization group methods

巧一 奥西

Kazuo Hida, 和男 飛田

Jie Ren

We introduce a numerical method of the adaptive time-dependent density-matrix renormalization-group to compute one-dimensional quantum spin systems with periodic boundary condition. We check our algorithm to study the dynamic correlation in spin-1/2 Heisenberg XX chain at zero temperature, and the numerical analysis of errors indicates that this method could be used to efficiently simulate the time-dependent properties of low-energy dynamics in an arbitrary one-dimensional quantum many-body systems with the nearest-neighbor interaction.

R. Bulla, Theo A. Costi, Thomas Pruschke

In the early 1970s, Wilson developed the concept of a fully nonperturbative renormalization group transformation. When applied to the Kondo problem, this numerical renormalization group (NRG) method gave for the first time the full crossover from the high-temperature phase of a free spin to the low-temperature phase of a completely screened spin. The NRG method was later generalized to a variety of quantum impurity problems. The purpose of this review is to give a brief introduction to the NRG method, including some guidelines for calculating physical quantities, and to survey the development of the NRG method and its various applications over the last 30 years. These applications include variants of the original Kondo problem such as the non-Fermi-liquid behavior in the two-channel Kondo model, dissipative quantum systems such as the spin-boson model, and lattice systems in the framework of the dynamical mean-field theory.

Satoshi Takada, Tota Nakamura, 高田 慧 +1 more

Jie Lou, Naoki Kawashima, Kenji Harada

この論文は国立情報学研究所の電子図書館事業により電子化されました。