TY - JOUR
AB - We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature.
AU - Napiórkowski, Marcin M
AU - Seiringer, Robert
ID - 9256
IS - 2
JF - Letters in Mathematical Physics
SN - 03779017
TI - Free energy asymptotics of the quantum Heisenberg spin chain
VL - 111
ER -