We propose a strongly correlated (1+1)D electron model with particle–hole asymmetry which is exactly solvable by means of the nested Bethe ansatz. The particle–hole asymmetry in this many-body system causes a metal–insulator transition with a phase separation. Here, we give a detailed analysis of the zero-temperature phase diagram of the model and demonstrate how this unusual behavior of the metal–insulator transition with phase separation arises. In particular, we show that a homogeneous phase of itinerant electrons and a mixed phase of itinerant electrons and localized electron pairs (for which two different species reside in spatially separated regions) define the ground state of a fermion chain. We also find that the metal–insulator phase transition induces phase transition on the surface with simultaneous generation of the interphase boundary.We propose a strongly correlated (1+1)D electron model with particle–hole asymmetry which is exactly solvable by means of the nested Bethe ansatz. The particle–hole asymmetry in this many-body system causes a metal–insulator transition with a phase separation. Here, we give a detailed analysis of the zero-temperature phase diagram of the model and demonstrate how this unusual behavior of the metal–insulator transition with phase separation arises. In particular, we show that a homogeneous phase of itinerant electrons and a mixed phase of itinerant electrons and localized electron pairs (for which two different species reside in spatially separated regions) define the ground state of a fermion chain. We also find that the metal–insulator phase transition induces phase transition on the surface with simultaneous generation of the interphase boundary.

Journal of Physics A Mathematical and TheoreticalSep 6, 20110 citations

On the Universality of the Metal-Insulator Transition of Interacting Electrons

Arisato Kawabata

Springer proceedings in physicsJan 1, 19882 citations

Towards a microscopic theory of the metal-insulator transition

Claudio Castellani, C. Di Castro, Gabor Forgács +1 more

Nuclear Physics BNov 1, 198324 citations

Mutual Exclusion Statistics in the Exactly Solvable Model of the Mott Metal-Insulator Transition

Yasuhiro Hatsugai, Mahito Kohmoto, Tohru Koma +1 more

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 metal-insulator transition. It is shown that the ground state is described by that of a generalized ideal gas of particles (called exclusons) which have mutual exclusion statistics between different species. In addition to giving a perspective view of spin-charge separation, the model constitutes an explicit example of mutual exclusion statistics in more than two dimensions.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 metal-insulator transition. It is shown that the ground state is described by that of a generalized ideal gas of particles (called exclusons) which have mutual exclusion statistics between different species. In addition to giving a perspective view of spin-charge separation, the model constitutes an explicit example of mutual exclusion statistics in more than two dimensions.

arXiv:cond-mat/9512037Dec 6, 19950 citations

The Hubbard model and the metal-insulator phase transition

J. O. Lawson

Physics Letters AJul 1, 19745 citations

Metal-insulator phase transition in an exactly solvable model of nondegenerate interacting fermion chains

Igor N. Karnaukhov

A two parametric family of the models of two coupled nondegenerate fermion chains is proposed and solved by the means of the Bethe ansatz. We give a detailed analysis of the exact zero-temperature phase diagram at half filling for different parameters of the interactions. It is shown that insulator and ``interchain ferromagnetic'' phase states are separated by ``intermediate metallic'' state, these phase states coexist in a tricritical point. The critical fluctuations are described by a conformal field theory with the central charge $c=1$ . In the tricritical point the fermion state is described as a Luttinger liquid state with one gapless mode that is characterized by abnormal large density-density correlations and correlations of the momentum distribution function.A two parametric family of the models of two coupled nondegenerate fermion chains is proposed and solved by the means of the Bethe ansatz. We give a detailed analysis of the exact zero-temperature phase diagram at half filling for different parameters of the interactions. It is shown that insulator and ``interchain ferromagnetic'' phase states are separated by ``intermediate metallic'' state, these phase states coexist in a tricritical point. The critical fluctuations are described by a conformal field theory with the central charge $c=1$. In the tricritical point the fermion state is described as a Luttinger liquid state with one gapless mode that is characterized by abnormal large density-density correlations and correlations of the momentum distribution function.

Physical Review BJun 4, 20100 citations

c=1

. In the tricritical point the fermion state is described as a Luttinger liquid state with one gapless mode that is characterized by abnormal large density-density correlations and correlations of the momentum distribution function.