Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection

Valence bond solid phases in a cubic antiferromagnet.

We report on a valence bond projector Monte Carlo simulation of the cubic lattice quantum Heisenberg model with additional higher-order exchange interactions in each unit cell. The model supports two different valence bond solid (VBS) ground states. In one of these states, the dimer pattern is a three-dimensional analogue of the columnar pattern familiar from two dimensions. In the other, the d...

Theory of Néel and valence-bond solid phases on the kagome lattice of Zn paratacamite.

Recently, neutron scattering data on powder samples of Zn paratacamite, ZnxCu4-x(OH)6Cl2, with small Zn concentration has been interpreted as evidence for valence-bond solid and Néel ordering [S.-H. Lee, Nat. Mater. 6, 853 (2007)10.1038/nmat1986]. We study the classical and quantum Heisenberg models on the distorted kagome lattice appropriate for Zn paratacamite at low Zn doping. Our theory nat...

Theory of Néel and Valence - Bond - Solid Phases on the Kagome

Theory of Néel and Valence - Bond - Solid Phases on the Kagome Lattice of

The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters. Theory of Néel and valence-bond-solid phases on the kagome lattice of Zn-paratacamite. Recently, neutron scattering data on powder samples of Zn-paratacamite, ZnxCu4−x(OH)6Cl2, with small Zn concentration has been interpreted as evidence for valence bond solid and Néel or...

Effective Field Theory Dimensional Regularization

A Lorentz-covariant regularization scheme for effective field theories with an arbitrary number of propagating heavy and light particles is given. This regularization scheme leaves the low-energy analytic structure of Greens functions intact and preserves all the symmetries of the underlying Lagrangian. The power divergences of regularized loop integrals are controlled by the low-energy kinemat...