Geometrically frustrated magnets - Department of Theoretical Physics

Ground state correlations
Local constraints can lead to long-ranged correlations.
Best example → dipolar spin liquid on the pyrochlore
lattice.
∑
☒ Sα i
= 0 → ∇ · ⃗B α = 0.
Power-law correlators–〈B l i (0)Bm j
(r)〉 ∝ δ lm
( 3ri r j −r 2 δ ij
r 5 ).
e 2
x
e 4
z
y
e 1
e 3
Isakov, Gregor, Moessner and Sondhi, PRL 93, 167204 (2004).
Arnab Sen, TIFR
Geometrically frustrated magnets