Antônio R. Moura, Afrânio R. Pereira
We analyze the biquadratic bilinear Heisenberg magnet on a honeycomb lattice via Schwinger boson formalism. Due to their vulnerability to quantum fluctuations, non conventional lattices (kagome, triangular and honeycomb for example) have been cited as candidates to support spin liquid states. Such states without long range order at zero temperature are known in one-dimensional spin models but their existence in higher dimensional systems is still under debate. Biquadratic interaction is responsible to various possibilities and phases as it is well-founded for one-dimensional systems. Here, we have used a bosonic representation to study the properties at zero and at finite low temperatures of the biquadratic term in the two-dimensional hexagonal honeycomb lattice. The results shown a ordered state at zero temperature but much more fragile than that of a square lattice; the behavior at finite low temperatures is in accordance with expectations.
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http://arxiv.org/abs/1209.5317
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