## Abstract

Quasi-particle picture in a magnetic field is pursued for dynamical spin and charge correlation functions of the one-dimensional supersymmetric t-J model with inverse-square interaction. With use of exact diagonalization and the asymptotic Bethe-ansatz equations for finite systems, excitation contents of relevant excited states are identified which are valid in the thermodynamic limit. The excitation contents are composed of spinons, antispinons, holons and antiholons obeying fractional statistics. Both longitudinal and transverse components of the dynamical spin structure factor are independent of the electron density in the region where only quasi-particles with spin degrees of freedom (spinons and antispinons) contribute. The dynamical charge structure factor does not depend on the spin-polarization density in the region where only quasi-particles with charge (holons and antiholons) are excited. These features indicate the strong spin-charge separation in dynamics, reflecting the high symmetry of the model.

Original language | English |
---|---|

Pages (from-to) | 3917-3931 |

Number of pages | 15 |

Journal | journal of the physical society of japan |

Volume | 69 |

Issue number | 12 |

DOIs | |

Publication status | Published - 2000 Dec |

Externally published | Yes |

## Keywords

- Dynamical charge structure factor
- Dynamical spin structure factor
- Exact diagonalization
- Inverse-square interaction
- Magnetic field
- Recursion method
- Spin-charge separation
- Supersymmetric t-J model

## ASJC Scopus subject areas

- Physics and Astronomy(all)

## Fingerprint

Dive into the research topics of 'Dynamical properties of the 1/r^{2}-type supersymmetric t-J model in a magnetic field: Manifestation of spin-charge separation'. Together they form a unique fingerprint.