2010
DOI: 10.1063/1.3313221
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On electrical phenomena in electroneutral superfluid systems

Abstract: Keldysh’s theory of a rarefied superfluid electron-hole gas is extended to the case of possible pair polarization. It is established that the complex order parameter Φ(r1,r2), which is the wave function of a pair, satisfies a nonlinear, nonlocal, integrodifferential equation. The equation obtained is solved for the order parameter varying slowly over a distance of the order of the pair size. The dipole-moment density of the system is found from the known function Φ(r1,r2), and it is shown that the inhomogeneit… Show more

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Cited by 22 publications
(20 citation statements)
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“…For only the Coulomb exchange interaction g ex 0000 ¼ 13 3 pe 2 a 2 B . 19 Apparently, the coefficients g 0 , g 1 and f will be of the same order in general case. The energy e 0 is of the order of the energy of external (valence) electrons in the atom, i.e., the order of e 2 / a B .…”
Section: A Homogeneous Casementioning
confidence: 97%
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“…For only the Coulomb exchange interaction g ex 0000 ¼ 13 3 pe 2 a 2 B . 19 Apparently, the coefficients g 0 , g 1 and f will be of the same order in general case. The energy e 0 is of the order of the energy of external (valence) electrons in the atom, i.e., the order of e 2 / a B .…”
Section: A Homogeneous Casementioning
confidence: 97%
“…It is easy to see that the operatorsb þ k andb k satisfy the commutation relations different from Bose ones. They satisfy the Bose statistics for k 6 ¼ k 0 and the Pauli principlê 26 The authors in a number of works, [18][19][20][21] developing the approach of Keldysh, studied properties of dilute electronhole systems, caused by their internal structure. In this section we generalize the theory from Refs.…”
Section: A Coherent State Of Fermion Pairsmentioning
confidence: 99%
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“…It can be shown [42] that at V ee (r) = V hh (r) = −V eh (r) (that corresponds to d = 0) the value of γ ex is positive. However, at d exceeding a certain critical value, the coefficient γ ex will change its sign.…”
Section: Energy Of the Electron-hole Coherent Statementioning
confidence: 99%
“…In articles [41][42][43] polarization phenomena in 3D superfluid gas of electron-hole pairs (without spatial separation of electrons and holes) have been analyzed using an approach based on Keldysh's function. In [44] the Keldysh's approach has been applied to description of the superfluid state of a rarefied gas formed by alkali metal atoms.…”
Section: Introductionmentioning
confidence: 99%