Numerical study for properties of electronic states with strong correlations in low-dimensional systems

Yasuhiro Hatsugai

Martin Indergand

Yukinori Ota, 太田 幸則

Hiroyuki Shiba, Masao Ogata

There are two fundamental models for one-dimensional strongly correlated electrons: the Hubbard model and the t-J model. Recent intensive efforts have led to clarifying many important aspects of those systems, whose low-energy behaviors can be described as Luttinger liquid. This paper reviews current status of our understanding, which has been achieved with analytic and numerical approaches.

Ayao Okiji, Norio Kawakami

Ian P. Mc Culloch, M. Gulácsi

The physical properties of two-dimensional interacting electron systems are of great current interest. An open question in the physics of low-dimensional fermionic models is whether their properties are described by standard Fermi-liquid theory or whether instead they show unconventional behaviour in strongly correlated electron systems. As the two-dimensional Hubbard model is the typical example of a strongly correlated electron system, we solve for this model the two-body problem in the vicinity of a half-filled Fermi sea. The results obtained show that for a low hole concentration the well known Fermi-liquid picture fails.