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

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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

Scientific paper

10.1080/01418630050114682

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.

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