Spin-nematic order in the frustrated pyrochlore-lattice quantum rotor model
arXiv:cond-mat/0511582 · doi:10.1103/PhysRevB.74.024425
Abstract
As an example of ordering due to quantum fluctuations, we examine the nearest-neighbor antiferromagnetic quantum O(n) rotor model on the pyrochlore lattice. Classically, this system remains disordered even at zero temperature; we find that adding quantum fluctuations induces an ordered phase that survives to positive temperature, and we determine how its phase diagram scales with the coupling constant and the number of spin components. We demonstrate, using quantum Monte Carlo simulations, that this phase has long-range spin-nematic order, and that the phase transition into it appears to be first order.
10 pages, 8 figures
References in corpus (19)
- Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
- Low-temperature properties of classical, geometrically frustrated antiferromagnets
- Ising models of quantum frustration
- Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
- Dipolar spin correlations in classical pyrochlore magnets
- Power-law spin correlations in pyrochlore antiferromagnets
- Two-dimensional periodic frustrated Ising models in a transverse field
- Landau theory of quantum spin glasses of rotors and Ising spins
- A Solvable Spin-Glass of Quantum Rotors
- Singlet Excitations in Pyrochlore: A Study of Quantum Frustration
- Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
- Magnets with strong geometric frustration
- Frustrated Heisenberg antiferromagnet on a pyrochlore lattice
- Flux expulsion and greedy bosons: frustrated magnets at large N
- Order by disorder and gauge-like degeneracy in quantum pyrochlore antiferromagnet
- Quantum dimer models and effective Hamiltonians on the pyrochlore lattice
- Effective Hamiltonian for the Pyrochlore antiferromagnet: semiclassical derivation and degeneracy
- Spin Liquid Phase in the Pyrochlore Antiferromagnet
- Parity-broken ground state for the spin-1 pyrochlore antiferromagnet