Monopole flux state on the pyrochlore lattice

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 14, 2009, Pages

  Burnell, F J ^a   Chakravarty, Shoibal ^a   Sondhi, S L ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 66249145731     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.144432     Document Type: Article

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41. For an introduction to this area see the recent Les Houches lectures by Misguich (Ref.) and the older review article (Ref.).
42. Here we use the term "topological phases" in the looser sense of any phase with emergent gauge fields. Strictly speaking the term should be reserved for cases where the low-energy gauge theory is a purely topological gauge theory.
43. This is as good a place as any to note that there is not, to date, a good experimental S=1/2 antiferromagnet on the pyrochlore lattice
44. Reference shows that at asymptotically small boson densities the system must break some symmetry. The minor caveat is that this does not rule out a different solution intervening right near S=1/2
45. We are grateful to Michael Hermele for emphasizing this point.
46. This Fermi surface does not display fermion doubling in the naive sense; all four bands cross at only one point in the Brillouin zone. This does not violate the result of Ref., which assumes that levels are degenerate only at a finite set of points.
47. See Refs., and references therein.