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Superconductor could be realized in a broken Lorenz invariant theory

Date:
July 7, 2015
Source:
World Scientific
Summary:
Considering the electromagnetic and scalar fields in gravity without Lorenz invariance (LI), a model of holographic superconductor is constructed in Horava-Lishitz gravity. The studies show that the effect from broken LI could modify the conductivity and condensate curve lines. The AdS/CFT correspondence implies that it is possible to construct a superconductor based on a gravitational theory without Lorentz invariance.
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Today theoretical physicists are facing the difficulty that General Relativity is not (pertubatively) renormalizable, and find that it is very hard to construct the quantum theory of gravity with LI. A possible solution is to break the LI in the ultraviolet (UV) region, so that the theory is renormalizable and unitary. However, the invariance should be recovered in the infrared (IR), so that all of the gravitational experiments in the IR can be satisfied. According to this idea, Horava proposed a Horava-Lifshitz (HL) gravity without LI, and recently it was shown that LI can be broken at very high energy scale, without causing conflict with observations. Therefore, it would be very interesting to study effects due to the broken LI, and we find that it is possible to realize the holographic superconductor in HL gravity.

This work was a generalization of the AdS/CFT correspondence proposed by Hartnoll, Herzog and Horowitz. They used AdS/CFT correspondence to explain the phase change in black hole spacetime, and successfully obtained the holographic superconductor curve lines of a black hole. After considering the holographic superconductor in the Horava-Lifshitz gravity, we found the effect from the broken LI, which can influence the conductivity and condensate curve lines, but the holographic superconductor still can be realized in gravity without LI.


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Materials provided by World Scientific. Note: Content may be edited for style and length.


Journal Reference:

  1. Kai Lin, E. Abdalla, Anzhong Wang. Holographic superconductors in Hořava–Lifshitz gravity. International Journal of Modern Physics D, 2015; 24 (06): 1550038 DOI: 10.1142/S0218271815500388

Cite This Page:

World Scientific. "Superconductor could be realized in a broken Lorenz invariant theory." ScienceDaily. ScienceDaily, 7 July 2015. <www.sciencedaily.com/releases/2015/07/150707101946.htm>.
World Scientific. (2015, July 7). Superconductor could be realized in a broken Lorenz invariant theory. ScienceDaily. Retrieved May 23, 2017 from www.sciencedaily.com/releases/2015/07/150707101946.htm
World Scientific. "Superconductor could be realized in a broken Lorenz invariant theory." ScienceDaily. www.sciencedaily.com/releases/2015/07/150707101946.htm (accessed May 23, 2017).

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