Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-05-14
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 6 Postscript figures, REVTeX, submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.61.4012
We study the one-dimensional SU(4) exchange model under magnetic fields, which is the simplest effective Hamiltonian in order to investigate the quantum fluctuations concerned with the orbital degrees of freedom in coupled spin-orbit systems. The Bethe ansatz approaches and numerical calculations using the density matrix renormalization group method are employed. The main concern of the paper is how the system changes from the SU(4) to the SU(2) symmetric limit as the magnetic field is increased. For this model the conformal field theory predicts an usual behavior: there is a jump of the critical exponents just before the SU(2) limit. For a finite-size system, however, the orbital-orbital correlation functions approach continuously to the SU(2) limit after interesting crossover phenomena. The crossover takes place in the magnetization range of 1/3 $\sim$ 1/2 for the system with 72 sites studied in this paper.
Shibata Naokazu
Ueda Kazuo
Yamashita Yasufumi
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