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Spin-Peierls State vs Antiferromagnetic State in Quasi-One-Dimensional Heisenberg Antiferromagnet

The competition between the spin-Peierls state and the antiferromagnetic Néel state in the quasi-one-dimensional Heisenberg antiferromagnet is discussed at zero and finite temperatures on the basis of the phase Hamiltonian, which takes proper account of the quantum nature of the one-dimensional spins. On lowering the temperature three types of the phase transitions occur depending on the relative strength of the weak interchain exchange interaction to the spin-lattice coupling.