Solitonic ground states in (color) superconductivity
We present a general framework for analyzing inhomogeneous (color-)superconducting phases in the mean-field approximation without restriction to the Ginzburg-Landau approach. As a first application, we calculate real gap functions with general one-dimensional periodic structures for a 3+1-dimensiona...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51379 |
| _version_ | 1826203343439003648 |
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| author | Nickel, Marcel Dominik Johannes Buballa, Michael |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Nickel, Marcel Dominik Johannes Buballa, Michael |
| author_sort | Nickel, Marcel Dominik Johannes |
| collection | MIT |
| description | We present a general framework for analyzing inhomogeneous (color-)superconducting phases in the mean-field approximation without restriction to the Ginzburg-Landau approach. As a first application, we calculate real gap functions with general one-dimensional periodic structures for a 3+1-dimensional toy model having two fermion species. The resulting solutions are energetically favored against homogeneous superconducting (BCS) and normal conducting phases in a window for the chemical potential difference δμ which is about twice as wide as that for the most simple plane-wave ansatz (“Fulde-Ferrell phase”). At the lower end of this window, we observe the formation of a soliton lattice and a continuous phase transition to the BCS phase. At the higher end of the window the gap functions are sinusoidal, and the transition to the normal conducting phase is of first order. We also discuss the quasiparticle excitation spectrum in the inhomogeneous phase. Finally, we compare the gap functions with the known analytical solutions of the 1+1-dimensional theory. |
| first_indexed | 2024-09-23T12:35:06Z |
| format | Article |
| id | mit-1721.1/51379 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:35:06Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/513792022-09-28T08:48:08Z Solitonic ground states in (color) superconductivity Nickel, Marcel Dominik Johannes Buballa, Michael Massachusetts Institute of Technology. Center for Theoretical Physics Nickel, Marcel Dominik Johannes Nickel, Marcel Dominik Johannes We present a general framework for analyzing inhomogeneous (color-)superconducting phases in the mean-field approximation without restriction to the Ginzburg-Landau approach. As a first application, we calculate real gap functions with general one-dimensional periodic structures for a 3+1-dimensional toy model having two fermion species. The resulting solutions are energetically favored against homogeneous superconducting (BCS) and normal conducting phases in a window for the chemical potential difference δμ which is about twice as wide as that for the most simple plane-wave ansatz (“Fulde-Ferrell phase”). At the lower end of this window, we observe the formation of a soliton lattice and a continuous phase transition to the BCS phase. At the higher end of the window the gap functions are sinusoidal, and the transition to the normal conducting phase is of first order. We also discuss the quasiparticle excitation spectrum in the inhomogeneous phase. Finally, we compare the gap functions with the known analytical solutions of the 1+1-dimensional theory. Department of Energy Cooperative Research Agreement Helmholtz- University Young Investigator German Research Foundation 2010-02-05T16:31:49Z 2010-02-05T16:31:49Z 2009-03 2008-11 Article http://purl.org/eprint/type/JournalArticle 1550-2368 1550-7998 http://hdl.handle.net/1721.1/51379 Nickel, Dominik , and Michael Buballa. “Solitonic ground states in (color) superconductivity.” Physical Review D 79.5 (2009): 054009. (C) 2010 The American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevD.79.054009 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Nickel, Marcel Dominik Johannes Buballa, Michael Solitonic ground states in (color) superconductivity |
| title | Solitonic ground states in (color) superconductivity |
| title_full | Solitonic ground states in (color) superconductivity |
| title_fullStr | Solitonic ground states in (color) superconductivity |
| title_full_unstemmed | Solitonic ground states in (color) superconductivity |
| title_short | Solitonic ground states in (color) superconductivity |
| title_sort | solitonic ground states in color superconductivity |
| url | http://hdl.handle.net/1721.1/51379 |
| work_keys_str_mv | AT nickelmarceldominikjohannes solitonicgroundstatesincolorsuperconductivity AT buballamichael solitonicgroundstatesincolorsuperconductivity |