Superfluidity or supersolidity as a Consequence of Off-diagonal Long-range Order

Details Superfluidity or supersolidity as a Consequence of Off-diagonal Long-range Order Superfluidity or supersolidity as a Consequence of Off-diagonal Long-range Order

2005-01-19

arxiv.org/abs/cond-mat/0501441v4

Phys. Rev. B 72, 014533 (2005); Phys. Rev. B 74, 029901(E) (2006)

Physics

Condensed Matter

Superconductivity

9 pages, published version; a published erratum is added

Scientific paper

10.1103/PhysRevB.72.014533, 10.1

We present a general derivation of Hess-Fairbank effect or non-classical rotational inertial (NCRI), i.e. the refusal to rotate with its container, as well as the quantization of angular momentum, as consequences of off-diagonal long-range order (ODLRO) in an interacting Bose system. Afterwards, the path integral formulation of superfluid density is re-derived without ignoring the centrifugal potential. Finally and in particular, for a class of variational wavefunctions used for solid helium, treating the constraint of single-valuedness boundary condition carefully, we show that there is no ODLRO and, especially, demonstrate explicitly that NCRI cannot be possessed in absence of defects, even though there exist zero-point motion and exchange effect.

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