The Mermin-Wagner Theorem - Condensed Matter Theory Group
The Mermin-Wagner Theorem - Condensed Matter Theory Group
The Mermin-Wagner Theorem - Condensed Matter Theory Group
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How symmetry breaking occurs in principle<br />
Actors<br />
Proof of the <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem<br />
Discussion<br />
For a two-dimensional lattice we find:<br />
S(S + 1) ≥ m2v2 β2πg 2<br />
j µ2 ln<br />
B<br />
from which for small fields we get<br />
<strong>The</strong> Bogoliubov inequality<br />
<strong>The</strong> <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem<br />
Q 2 S(S+1)k 2 0 +|B0m|<br />
|B0m|<br />
2Q 2 S(S + 1)<br />
<br />
const. ′ + |B0m|<br />
|m(T , B0)| ≤ const. T ln<br />
|B0m|<br />
Andreas Werner <strong>The</strong> <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem<br />
<br />
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