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Prog. Theor. Phys. Supplement No.46 (1970) pp. 411-436

Off-Diagonal Long-Range Order in Solids

Hirotsugu Matsuda and Toshihiko Tsuneto^*

Research Institute for Fundamental Physics, Kyoto University, Kyoto
^*Department of Physics, Faculty of Science, Kyoto University, Kyoto

(Received November 30, 1970)

Abstract:

The possibility of the coexistence of the diagonal long-range order (DLRO) and the off-diagonal long-range order (ODLRO), which may be called `supersolid' state, is discussed in a system of bosons at 0°K. Examples of wave functions are given describing the state with only DLRO and with both DLRO and ODLRO. After giving general relationships between the quantum lattice model for a system of bosons and the corresponding spin system, the criterion for the coexistence of DLRO and ODLRO is obtained by using the molecular field approximation for the spin system. The super-solid state corresponds to an `intermediate' state between the antiferromagnetic and spin-flop state in the spin system. The analysis on the basis of this criterion indicates that the bulk solid He⁴ is unlikely to become a supersolid, whereas the adsorbed He⁴ film under the influence of the wall potential may become a supersolid. A speculation is made on the possibility of a supersolid in an extremely compressed system with nuclei of even mass number.

URL : http://ptp.ipap.jp/link?PTPS/46/411/
DOI : 10.1143/PTPS.46.411

[ Full Text PDF : FREE ACCESS (1336K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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