Spontaneous dimer order, excitation spectrum, and quantum phase transitions in the J1-J2 Heisenberg model

Abstract

We overview some recent work and present new results on the ground state properties and the spectrum of excitations of the two-dimensional frustrated Heisenberg antiferromagnet. Spontaneous dimer order is present in the quantum disordered phase of this model. We study the stability and analyze the structure of the spectrum, including the two-particle singlet excitation branch throughout the disordered phase, as well as in the vicinity of the Neel critical point. The variation of the dimer order parameter is also given, and it is argued that near the critical point it reflects the presence of the low-energy singlet bound state.

20 pages, 9 figures. Extended version of the invited talk, presented at the ITP Conference on Quantum Magnetism, Santa Barbara, August 1999

References in corpus (9)

• Large N expansion for frustrated and doped quantum antiferromagnets
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• Charge order, superconductivity, and a global phase diagram of doped antiferromagnets
• Phase diagram for a class of spin-half Heisenberg models interpolating between the square-lattice, the triangular-lattice and the linear chain limits
• Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J1-J2 model
• Spectrum of elementary and collective excitations in the dimerized S=1/2 Heisenberg chain with frustration
• Quantum phase transitions in antiferromagnets and superfluids
• On the nature of the transition from the spontaneously dimerized to the Neel phase in the two-dimensional J1-J2 model

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• Effect of anisotropy on the ground-state magnetic ordering of the spin-half quantum $J_1^{XXZ}$--$J_2^{XXZ}$ model on the square lattice
• Spin-1/2 frustrated antiferromagnet on a spatially anisotopic square lattice: contribution of exact diagonalizations
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• Critical dynamics of singlet and triplet excitations in strongly frustrated spin systems
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