全像d波超導體

Abstract

我們根據AdS/共形場論對偶理論，以對偶的重力理論來研究有限溫度d波超導體。為了得到非各向同性的能譜函數，我們在中性黑洞背景下使用了Majorana耦合項，並且不考慮回饋反應。得到的能譜函數的確能產生非各向同性的能隙。在低溫或弱Majorana耦合情況下，能譜函數會退縮為四個節點；在高溫或強Majorana耦合情況下，能譜函數會部分能隙化並產生費米弧。我們並且考慮了狄拉克質量的效應以及凝聚場之間引入不同相位的影響，後者稱為d加id情景。狄拉克質量項會造成能譜函數對於動量空間原點的退縮或擴張。d加id情景則會造成s波與d波在能譜函數的混合態。

We study the d-wave (spin two) superconductors through its dual gravitational description using AdS/CFT duality with finite temperature. To give the anisotropic nature of spectral function, we introduce the Majorana coupling in the neutral blackhole metric without back reaction. We find that the spectral function is indeed anisotropically gapped. At low temperature or strong Majorana coupling, the spectral function shrinks to four nodal points. At high temperature or weak Majorana coupling, the spectral function is partially gapped and generates fermi arc. Also we consider the effect of the dirac mass and there is a phase difference between the condensate fields, that is the d+id scenario. The dirac mass term will cause the spectral function to shrink or to expand with respect to the origin in the momentum space. In the d+id scenario, we find the s-wave and d-wave mixing in the spectral function.