49 citations · 72 across the 4 of their papers we have counts for
4 papers
Infinite families of regular expanders of arbitrary constant degree obtained via the modified zig-zag product
Cristina Ballantine, Matthew Horton
We generalize the zig-zag product construction to produce infinite families of regular graphs of any constant degree. We analyze the second largest eigenvalue of this new zig-zag p…
Reply to the "Comment on 'Neel order in doped quasi one-dimensional antiferromagnets'"
Sebastian Eggert, Ian Affleck, Matthew D. P. Horton
In a recent comment by A.A. Zvyagin to our Letter [Phys. Rev. Lett. 89, 47202 (2002)] it was pointed out that the bosonization treatment of the antiferromagnetic Heisenberg chain i…
Neel order in doped quasi one-dimensional antiferromagnets
Sebastian Eggert, Ian Affleck, Matthew D. P. Horton
We study the Neel temperature of quasi one-dimensional S=1/2 antiferromagnets containing non-magnetic impurities. We first consider the temperature dependence of the staggered susc…
The Three-Magnon Contribution to the Spin Correlation Function in Integer-Spin Antiferromagnetic Chains
Matthew Horton, Ian Affleck
The exact form factor for the O(3) non-linear sigma model is used to predict the three-magnon contribution to the spin correlation function, S(q,w), near wavevector q=pi in an inte…