• Publications
  • Influence
EIGENVECTOR STATISTICS IN NON-HERMITIAN RANDOM MATRIX ENSEMBLES
We study statistical properties of the eigenvectors of non-Hermitian random matrices, concentrating on Ginibre's complex Gaussian ensemble, in which the real and imaginary parts of each element of anExpand
LOW-TEMPERATURE PROPERTIES OF CLASSICAL GEOMETRICALLY FRUSTRATED ANTIFERROMAGNETS
We study the ground-state and low-energy properties of classical vector spin models with nearest-neighbor antiferromagnetic interactions on a class of geometrically frustrated lattices, whichExpand
Dynamics of a Two-Dimensional Quantum Spin Liquid: Signatures of Emergent Majorana Fermions and Fluxes
We provide a complete and exact theoretical study of the dynamical structure factor of a twodimensional quantum spin liquid in gapless and gapped phases, as realized in Kitaev’s honeycomb model. WeExpand
Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
We study the low-temperature behavior of the classical Heisenberg antiferromagnet with nearest neighbor interactions on the pyrochlore lattice. Because of geometrical frustration, the ground state ofExpand
Emergent SO(5) Symmetry at the Néel to Valence-Bond-Solid Transition.
We show numerically that the "deconfined" quantum critical point between the Néel antiferromagnet and the columnar valence-bond solid, for a square lattice of spin 1/2, has an emergent SO(5)Expand
Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
Statistical properties of eigenvectors in non-Hermitian random matrix ensembles are discussed, with an emphasis on correlations between left and right eigenvectors. Two approaches are described. OneExpand
Spin dynamics in pyrochlore Heisenberg antiferromagnets.
TLDR
A solvable stochastic model for dynamics with conserved magnetization is constructed, which accurately reproduces most features of the precessional results. Expand
The pinning of an interface by a planar defect
The behaviour of a domain wall is examined in a three-dimensional Ising model which has weaker exchange interactions near the surface than in the bulk. It is proved, within the Onsager-TemperleyExpand
Percolation, quantum tunnelling and the integer Hall effect
A model is introduced for Anderson localisation in the integer quantum Hall regime. The model represents a system with a disordered potential that varies slowly on the scale of the magnetic length,Expand
Solution of a Minimal Model for Many-Body Quantum Chaos
We solve a minimal model for quantum chaos in a spatially extended many-body system. It consists of a chain of sites with nearest-neighbour coupling under Floquet time evolution. Quantum states atExpand
...
1
2
3
4
5
...