70 citations · 95 across the 3 of their papers we have counts for
3 papers
cond-mat.str-el2001★ 70 cited
The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results
Axel Gelfert, Wolfgang Nolting
After a brief discussion of the Bogoliubov inequality and possible generalizations thereof, we present a complete review of results concerning the Mermin-Wagner theorem for various…
cond-mat2001★ 1 cited
On the role of dimensionality in many-body theories of magnetic long-range order
Axel Gelfert
Starting from general considerations concerning phase transitions and the many-body problem, a pedagogical introduction to the Mermin-Wagner theorem is given. Particular attention…
cond-mat.str-el1999★ 24 cited
Absence of a Magnetic Phase Transition in Heisenberg, Hubbard, and Kondo-lattice (s-f) Films
Axel Gelfert, Wolfgang Nolting
The possibility of a magnetic phase transition in Heisenberg, Hubbard, and s-f (Kondo-lattice) films is investigated. It is shown that, for any finite temperature and any finite nu…