Holographic magnetized chiral density wave

  • We explore the end point of the helical instability in a finite density, finite magnetic field background discussed by Kharzeev and Yee. The nonlinear solution is obtained and identified with the (magnetized) chiral density wave phase in the literature. We find there are two branches of solutions, which match the two unstable modes found before. At large chemical potential and magnetic field, the magnetized chiral density wave can be thermodynamically preferred over the chirally symmetric phase and chiral symmetry breaking phase. Interestingly, we find an exotic state with vanishing chemical potential at large magnetic field. We also attempt to clarify the role of anomalous charge in the holographic model.
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Yanyan Bu and Shu Lin. Holographic magnetized chiral density wave[J]. Chinese Physics C, 2018, 42(11): 114104. doi: 10.1088/1674-1137/42/11/114104
Yanyan Bu and Shu Lin. Holographic magnetized chiral density wave[J]. Chinese Physics C, 2018, 42(11): 114104.  doi: 10.1088/1674-1137/42/11/114104 shu
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Received: 2018-07-09
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    S. L. is supported by One Thousand Talent Program for Young Scholars and NSFC (11675274, 11735007), Y. B. is supported by the Fundamental Research Funds for the Central Universities (122050205032) and the NSFC (11705037)

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Holographic magnetized chiral density wave

  • 1.  Department of Physics, Harbin Institute of Technology, Harbin 150001, China
  • 2.  School of Physics and Astronomy, Sun Yat-Sen University, Zhuhai 519082, China
Fund Project:  S. L. is supported by One Thousand Talent Program for Young Scholars and NSFC (11675274, 11735007), Y. B. is supported by the Fundamental Research Funds for the Central Universities (122050205032) and the NSFC (11705037)

Abstract: We explore the end point of the helical instability in a finite density, finite magnetic field background discussed by Kharzeev and Yee. The nonlinear solution is obtained and identified with the (magnetized) chiral density wave phase in the literature. We find there are two branches of solutions, which match the two unstable modes found before. At large chemical potential and magnetic field, the magnetized chiral density wave can be thermodynamically preferred over the chirally symmetric phase and chiral symmetry breaking phase. Interestingly, we find an exotic state with vanishing chemical potential at large magnetic field. We also attempt to clarify the role of anomalous charge in the holographic model.

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