418 citations · 2.2k across the 78 of their papers we have counts for
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Recent Progress in Quantum Spin Systems
Bruno Nachtergaele, Robert Sims
Some recent developments in the theory of quantum spin systems are reviewed.
Droplet Excitations for the Spin-1/2 XXZ Chain with Kink Boundary Conditions
Bruno Nachtergaele, Wolfgang Spitzer, Shannon Starr
We give a precise definition for excitations consisting of a droplet of size n in the XXZ chain with various choices of boundary conditions, including kink boundary conditions and…
Lieb-Robinson Bounds and the Exponential Clustering Theorem
Bruno Nachtergaele, Robert Sims
We give a Lieb-Robinson bound for the group velocity of a large class of discrete quantum systems which can be used to prove that a non-vanishing spectral gap implies exponential c…
Ordering of Energy Levels in Heisenberg Models and Applications
Bruno Nachtergaele, Shannon Starr
In a recent paper we conjectured that for ferromagnetic Heisenberg models the smallest eigenvalues in the invariant subspaces of fixed total spin are monotone decreasing as a funct…