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Nuclear Physics B

Exact electron addition spectrum in 1D supersymmetric t–J model with 1/r2 interaction

Mitsuhiro Arikawa, T. Yamamoto, Yuta Saiga, Yoshio Kuramoto

Published Sep 24, 2004• 9 citations
Publisher
DOI
10.1016/j.nuclphysb.2004.09.012

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Preface. Part I: Contributed Articles. RVB Redux: A Synergistic Theory of High Tc Cuprates P.W. Anderson. Doing 1D Physics with Deng: How the vision goes on P. Coleman. Kondo-Lattice Models with Infinite Range Hopping C. Gruber. The One-dimensional t-J Model with Long Range Interaction J.T. Liu. Stability and Symmetry Breaking in Metal Nanowires C.A. Stafford. From Magnetic Flux and Incommensurability to NMR and Oil Wells D.E. Freed. Geometry, Quantum Field Theory and NMR S. Axelrod. Black Holes, String Theory and Fundamental Physics R.R. Khuri. Design of a Low Power Passive Sigma Delta Modulator F. Chen. Labeling the Nervous System with a Ballistic Approach W.-B. Gan. Part II: Reprinted Articles. Spectrum and Thermodynamics D.F. Wang, et al. Gutzwiller-Jastrow wave functions for the 1/r Hubbard Model D.F. Wang, et al. Solutions to the Multiple-Component 1/r Hubbard Model D.F. Wang. Invariants of the 1/r2 supersymmetric t-J models D.F. Wang, C. Gruber. Exact results of the one-dimensional C. Gruber, D.F. Wang. Quantum duality and Bethe-Ansatz C.-A. Piguet, et al. Exactly Solvable Extended Hubbard Model D.F. Wang. Integrabilities of the Long-Range t-J Models J.T. Liu, D.F. Wang. SU(m/n) Supersymmetric Calogero-Sutherland Model C.-A. Piguet, et al. 1/r2t-J model in a magnetic field J.T. Liu, D.F. Wang. Interaction-Induced Enhancement and Oscillations C.A. Stafford, D.F. Wang. Generalizing Merton's approach of pricing risky debt D.F. Wang.

Kluwer Academic Publishers-Plenum Publishers eBooks•Jan 1, 2001•1 citation
The electron addition spectrum A+(k,omega) is obtained analytically for the one-dimensional (1D) supersymmetric t-J model with 1/r2 interaction. The result is obtained first for a small-sized system and its validity is checked against the numerical calculation. Then the general expression is found which is valid for arbitrary size of the system. The thermodynamic limit of A+(k,omega) has a simple analytic form with contributions from one spinon, one holon, and one antiholon-all of which obey fractional statistics. The upper edge of A+(k,omega) in the (k,omega) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit.
We study the one-dimensional supersymmetric t-J model with 1/r2 interaction threaded by magnetic flux. Because of the long range interaction, the effect of this flux leads to a modification of the electron hopping term. We present an exact solution of this model for all values of the flux, concisely formulated as a set of Bethe-ansatz-like equations. This allows a computation of the persistent currents at zero temperature. It is found that the system violates Leggett's conjecture despite the fact that the long range t-J model is a special example of the Luttinger liquid university class.
Preface. Part I: Contributed Articles. RVB Redux: A Synergistic Theory of High Tc Cuprates P.W. Anderson. Doing 1D Physics with Deng: How the vision goes on P. Coleman. Kondo-Lattice Models with Infinite Range Hopping C. Gruber. The One-dimensional t-J Model with Long Range Interaction J.T. Liu. Stability and Symmetry Breaking in Metal Nanowires C.A. Stafford. From Magnetic Flux and Incommensurability to NMR and Oil Wells D.E. Freed. Geometry, Quantum Field Theory and NMR S. Axelrod. Black Holes, String Theory and Fundamental Physics R.R. Khuri. Design of a Low Power Passive Sigma Delta Modulator F. Chen. Labeling the Nervous System with a Ballistic Approach W.-B. Gan. Part II: Reprinted Articles. Spectrum and Thermodynamics D.F. Wang, et al. Gutzwiller-Jastrow wave functions for the 1/r Hubbard Model D.F. Wang, et al. Solutions to the Multiple-Component 1/r Hubbard Model D.F. Wang. Invariants of the 1/r2 supersymmetric t-J models D.F. Wang, C. Gruber. Exact results of the one-dimensional C. Gruber, D.F. Wang. Quantum duality and Bethe-Ansatz C.-A. Piguet, et al. Exactly Solvable Extended Hubbard Model D.F. Wang. Integrabilities of the Long-Range t-J Models J.T. Liu, D.F. Wang. SU(m/n) Supersymmetric Calogero-Sutherland Model C.-A. Piguet, et al. 1/r2t-J model in a magnetic field J.T. Liu, D.F. Wang. Interaction-Induced Enhancement and Oscillations C.A. Stafford, D.F. Wang. Generalizing Merton's approach of pricing risky debt D.F. Wang.