Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-07-14
J. Phys.: Condens. Matter 20 (2008) 335230
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages, 5 figures. Accepted to JPCM
Scientific paper
10.1088/0953-8984/20/33/335230
The ground state phase diagram of the frustrated ferromagnetic spin-1/2 chain is investigated using the exact diagonalization technique. It is shown that there is a jump in the spontaneous magnetization and the ground state of the system undergos to a phase transition from a ferromagnetic phase to a phase with dimer ordering between next-nearest-neighbor spins. Near the quantum transition point, the critical behavior of the ground state energy is analyzed numerically. Using a practical finite-size scaling approach, the critical exponent of the ground state energy is computed. Our numerical results are in good agreement with the results obtained by other theoretical approaches.
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