418 citations · 2.2k across the 78 of their papers we have counts for
Showing 2004Show all
2 papers · 1 filter
math-ph2004★ 1 cited
Quantum Spin Systems
Bruno Nachtergaele
This article is a short introduction to the general topic of quantum spin systems. After a brief sketch of the history of the subject, the standard mathematical framework for formu…
math-ph2004★ 25 cited
A Ferromagnetic Lieb-Mattis Theorem
Bruno Nachtergaele, Shannon Starr
We prove ferromagnetic ordering of energy levels for XXX Heisenberg chains of any spin and XXZ spin chains with all spins equal to 1/2. Ferromagnetic ordering means that the minimu…