Theory for supersolid ${}^4$He

Abstract

Although both vacancies and interstitial have relatively high activation energies in the normal solid, we propose that a lower energy bound state of a vacancy and an interstitial may facilitate vacancy condensation to give supersolidity in ${}^4$He . We use a phenomenological two-band boson lattice model to demonstrate this new mechanism and discuss the possible relevance to the recently observed superfluid-like, non-classical rotational inertial experiments of Kim and Chan in solid ${}^4$He. Some of our results may also be applicable to trapped bosons in optical lattices.

5 pages, 2 figures

References in corpus (5)

• On the Supersolid State of Matter
• Ring exchanges and the supersolid phase of 4He
• Superfluid Interfaces in Quantum Solids
• Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model
• Superflow in Solid 4He

Cited by in corpus (12)

• The fate of vacancy-induced supersolidity in 4He
• What makes a crystal supersolid ?
• Pressure-driven flow of solid helium
• Solid 4He and the Supersolid Phase: from Theoretical Speculation to the Discovery of a New State of Matter? A Review of the Past and Present Status of Research
• Absence of Pressure-Driven Supersolid Flow at Low Frequency
• Effect of particle statistics in strongly correlated two-dimensional Hubbard models
• Absence of low temperature anomaly on the melting curve of ${}^4$He
• Quantum Monte-Carlo study of a two-species boson Hubbard model
• Possible role of 3He impurities in solid 4He
• Mott Insulator - Superfluid Transitions in a Two Band Model at Finite Temperature and Possible Application to Supersolid 4He
• Theory of Supersolids beyond Mean-Field
• Off-diagonal Long-Range Order and Supersolidity in a Quantum Solid with Vacancies