<i>A New Method in the Theory of Superconductivity</i>

Bogoli︠u︡bov, N. N.; Толмачев, В. В.; Shirkov, D. V.; Lindsay, R. Bruce

doi:10.1063/1.3056962

Cited by 171 publications

(181 citation statements)

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“…We find that entrainment of superfluid neutrons by crustal nuclei greatly reduces the velocity of the two transverse (shear) modes, and this in turn enhances their contribution to the low temperature specific heat of the inner crust. Entrainment effects also induce a strong mixing between the longitudinal lattice phonons and the Bogoliubov-Anderson (BA) bosons [15,16] of the neutron superfluid, splitting these modes into a high velocity global sound mode and a low velocity mode characterized by a relative motion between the neutron superfluid and the electron-ion plasma. These results should be also relevant for studies of global neutron star seismic modes with frequencies in the range 20 − 1000 Hz, which could be excited during violent events such as giant flares in SGRs and binary neutron-star mergers.…”

Section: Introductionmentioning

confidence: 99%

Low-energy collective excitations in the neutron star inner crust

2013

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We study the low-energy collective excitations in the inner crust of the neutron star, where a neutron superfluid coexists with a Coulomb lattice of nuclei. The dispersion relation of the modes is calculated systematically from a microscopic theory including neutron band structure effects.These effects are shown to lead to a strong mixing between the Bogoliubov-Anderson bosons of the neutron superfluid and the longitudinal crystal lattice phonons. In addition, the speed of the transverse shear mode is greatly reduced as a large fraction of superfluid neutrons are entrained by nuclei. Not only does the much smaller velocity of the transverse mode increase the specific heat of the inner crust, it also decreases its electron thermal conductivity. These results may impact our interpretation of the thermal relaxation in accreting neutron stars. Due to strong mixing, the mean free path of the superfluid mode is found to be greatly reduced. Our results for the collective mode dispersion relations and their damping may also have implications for neutron star seismology.

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Section: Introductionmentioning

confidence: 99%

Low-energy collective excitations in the neutron star inner crust

2013

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“…Interpreting our results within the framework of Bogoliubov's theory [8] we observe that the non-condensed pairs are different from Bogoliubov's "elementary excitations" (which are similar to our unpaired particles), but are analogous to his "collective excitations". The "collective excitations" in Bogoliubov's original theory were found necessary to establish a gaugeinvariant Meissner effect ( [9]); in the quasi-chemical equilibrium theory, as well as in a later version of Bogoliubov's theory, the condensed pairs alone suffice ( [10]).…”

Section: Discussionmentioning

confidence: 91%

“…A reduction of the numerator of the second term in (3.2) was carried out in paper E n , the final result being (E n 2.32): 314 Colin J. Thompson and John M. Blatt [8] (3.3) <0|«*J«*+|0> = <0|exp{|Tr ln(l -M ) } T r ( j^« j ) exp(K+)|0>.…”

Section: Expectation Values Of One-particle Operatorsmentioning

confidence: 99%

A perturbation approach to Bose-condensed pairs

Thompson

Blatt

1963

J. Aust. Math. Soc.

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A perturbation method is developed, and is used to obtain approximate expressions for the expectation values of one-particle and two particle operators in the quasi-chemical equilibrium (pair correlation) approximation to statistical mechanics, for the case of non-extreme Bose-Einstein condensation of the correlated pairs. To lowest order, the approximate results reproduce the results obtained previously for the case of extreme BoseEinstein condensation.

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“…Anderson [3] and N.N. Bogoliubov [4]. It is a NambuGoldstone mode which emerges to recover the broken U(1) gauge symmetry.…”

Section: Introductionmentioning

confidence: 99%

Density Functional Approach to Superfluid Phonon in Inner Crust of Neutron Stars

Inakura

2018

Proceedings of the Workshop on Quarks and Compact Stars 2017 (QCS2017)

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We investigate superfluid phonon emerging in inner crust of neutron stars by means of the nuclear density functional theory. Adopting the Wigner-Seitz approximation and a single spherical cell, we describe low-lying collective excitation with the dipole multipolarity. It is found that the superfluid phonon standing on the low-density neutron superfluid does not penetrate into the interior of the nuclear cluster. This suggests that the coupling between the superfluid phonon and the lattice phonon could be weak, and it may affect the thermal conductivity of inner crust.

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A New Method in the Theory of Superconductivity

Cited by 171 publications

References 0 publications

Low-energy collective excitations in the neutron star inner crust

Low-energy collective excitations in the neutron star inner crust

A perturbation approach to Bose-condensed pairs

Density Functional Approach to Superfluid Phonon in Inner Crust of Neutron Stars

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