Crystalline color superconductivity

By M. Alford, J. Bowers, Kumbakonam R. Rajagopal. 2000

270 citations recorded by the source corpus.

In any context in which color superconductivity arises in nature, it is likely to involve pairing between species of quarks with differing chemical potentials. For suitable values of the differences between chemical potentials, Cooper pairs with nonzero total momentum are favored, as was first realized by Larkin, Ovchinnikov, Fulde, and Ferrell (LOFF). Condensates of this sort spontaneously break translational and rotational invariance, leading to gaps which vary periodically in a crystalline pattern. Unlike the original LOFF state, these crystalline quark matter condensates include both spin-zero and spin-one Cooper pairs. We explore the range of parameters for which crystalline color superconductivity arises in the QCD phase diagram. If in some shell within the quark matter core of a neutron star (or within a strange quark star) the quark number densities are such that crystalline color superconductivity arises, rotational vortices may be pinned in this shell, making it a locus for glitch phenomena.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Geophysics

View Paper: https://www.semanticscholar.org/paper/73645b9a00b7fa45d0cd998ee11b9d4b7b2d7f69

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Matt Braby
2. Mark Wayne Paris
3. S. Reddy
4. R. Casalbuoni
5. G. Nardulli
6. T. Hatsuda
7. M. Alford
8. Kenji Fukushima

In Atomic and Molecular Physics, and Optics

1. S. Reddy
2. R. Casalbuoni
3. G. Nardulli
4. Matt Braby
5. Mark Wayne Paris
6. M. Alford
7. Kenji Fukushima
8. Shin-ichi Nakamura

In Geophysics

1. Matt Braby
2. Mark Wayne Paris
3. S. Reddy
4. R. Casalbuoni
5. G. Nardulli
6. M. Alford
7. Kenji Fukushima
8. T. Hatsuda

Citations in the corpus

• The phase diagram of dense QCD (2010, background): “Such an inhomogeneous CSC state gives rise to a crystal structure with respect to ∆(x), that is the crystalline CSC phase [62].”
• Gravity Dual of Spatially Modulated Phase (2009, background): “e-Ferrell-Larkin-Ovchinnikov phase, a Cooper pair of two species of fermions with different Fermi momenta condenses with non-vanishing total momentum [9, 10]. An analogous eect in QCD was studied in [11]. It has also been shown that nite density QCD in the large N c limit is unstable against forming”
• Hybrid Stars that Masquerade as Neutron Stars (2004, methodology): “The critical surface tension is c 40 MeV fm 3 (Heiselberg et al. 1993; Alford et al. 2001b).”
• Inhomogeneous superconductivity in condensed matter and QCD (2003, methodology): “Here we shall consider a simpler case, in which all the quarks are massless but have different chemical potentials (Alford et al., 2001b).”