Abstract
A necessary condition for superfluidity is discussed in connection with the classification of the long-range orders, DLRO and ODLRO, and it is concluded that it can take place only in systems with ODLRO. Based on this consideration, the possibility of superfluidity in a system of Frenkel excitons is examined. It is shown that it cannot occur in the excitonic phase, but that it can occur in the Bose-condensed phase of high-density excitons as a transient phenomenon.
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C. N. Yang: Rev. mod. Phys. 34 (1962), 694.
W. Kohn and D. Sherrington: Rev. mod. Phys. 42 (1970), 1.
T. Matsubara and H. Matsuda: Progr. theor. Phys. 16 (1956), 569.
We may generalize the definition of ODLRO to general conserved quantities. For instance, the order of the spin system with the Hamiltonian (4) is off-diagonal with respect to the z-component of spins which is the conserved quantity in this system. In this sense ODLRO is a necessary condition for superfluidity.
The possibility of superfluidity in this system was discussed by S. Nakajima; preprint. See also Nakajima's paper in this proceedings.
P. W. Anderson: Concepts in Solids (Benjamin, N.Y., 1964), p.132.
B. I. Halperin and T. M. Rice: Solid State Physics 21 (1968), 116.
E. Hanamura: J. Phys. Soc. Japan 29 (1970), 50;.ibid. 37 (1974), 1545.
E. Hanamura and H. Haug: Solid State Commun. 15 (1974), 1967.
See also Hanamura's and Haug's papers in this proceedings.
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© 1976 Springer-Verlag
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Nagaoka, Y. (1976). DLRO, ODLRO and superfluidity. In: Physics of Highly Excited States in Solids. Lecture Notes in Physics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07991-2_85
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DOI: https://doi.org/10.1007/3-540-07991-2_85
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