Pairing in Fermionic Systems: Basics Concepts and Modern by Armen Sedrakian, Mark G Alford, John W Clark

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By Armen Sedrakian, Mark G Alford, John W Clark

Cooper pairing of fermions is a profound phenomenon that has turn into extremely important in lots of various components of physics within the fresh prior. This ebook brings jointly, for the 1st time, specialists from a variety of fields regarding Cooper pairing, on the point of BCS conception and past, together with the learn of novel states of topic resembling ultracold atomic gases, nuclear platforms on the severe, and quark topic with software to neutron stars. Cross-disciplinary in nature, the booklet should be of curiosity to physicists in lots of varied specialties, together with condensed subject, nuclear, high-energy, and astrophysics. The emphasis is on novel matters past usual BCS conception equivalent to pairing in uneven structures, the polarization impression, and better spin pairing. those subject matters are hardly handled on the textbook point and them all are the topics of extensive ongoing examine. The ebook additionally considers a variety of new innovations everyday in present study that vary considerably from the traditional condensed subject techniques defined within the common literature.

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Extra resources for Pairing in Fermionic Systems: Basics Concepts and Modern Applications (Series on Advances in Quantum Many-Body Theory)

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Nardulli, Phys. Rev. D 66, 094006 (2002) [arXiv:hep-ph/0208121]. 80. A. Sedrakian, arXiv:nucl-th/0312053. 81. D. T. Son and M. A. Stephanov, arXiv:cond-mat/0507586. 82. M. Mannarelli, G. Nardulli and M. Ruggieri, arXiv:cond-mat/0604579. Chapter 2 Larkin-Ovchinnikov-Fulde-Ferrell Phases in QCD Giuseppe Nardulli Department of Physics, University of Bari and INFN-Bari, Via E. it The Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) inhomogeneous color superconducting phase of QCD is reviewed. The case of two flavors is discussed in the hypothesis that the gap is formed by one or more plane waves.

52 The terms that occur in the three-flavor case but not in the two-flavor case, namely ^32 and 7322, describe the interaction between the two condensates and hence depend on the angle between q 2 and q 3 . 52 This tells us that within this two plane wave ansatz, the most favorable orientation is c/> = 0, namely q 2 || q3- Making this choice yields the smallest possible /3eg- and %g within this ansatz, and hence the largest possible 6 and condensation energy, again within this ansatz. The divergence at 4> —» 7r tells us that choosing q 2 and q 3 precisely antiparallel exacts an infinite free energy price in the combined Ginzburg-Landau and weak-coupling limit in which 5 -C 6(i, 60 <§C (i, meaning that in this limit if we chose = -K we find 6 = 0, Away from the Ginzburg-Landau limit, when the pairing rings on the Fermi surfaces widen into bands, choosing = ir exacts a finite price meaning that 6 is nonzero but smaller than that for any other choice of .

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