强关联系统平带、费米弧和表面态的Ginzberg-Landau-Wilson理论
Ginzberg-Landau-Wilson theory for Flat band, Fermi-arc and surface states of strongly correlated systems
摘要：
我们把全息理论看作是一种适用于量子临界点附近强相互作用系统的Ginzberg-Landau理论：取费米子双线性的对偶体物质场$Φ^I(r,x)$作为序参量。我们计算和分类的费米子谱函数的存在下，这样的订单。根据对称性，我们发现了能隙、赝能隙、平盘带和连接两个狄拉克锥的费米弧等在狄拉克材料和近藤晶格中常见的光谱特征。上述许多特征都与零模有关，零模的存在与相互作用的离散对称性有关。相互作用诱导的零模要么使强关联系统类似费米液体，要么产生盘状平坦带。体理论中的一些序参量在边界空间中没有对称破缺的解释，这就开启了“无对称破缺序”的可能性。
英文摘要：
We consider a holographic theory as a Ginzberg-Landau theory working for strongly interacting system near the quantum critical point: we take the bulk matter field $Φ^I(r,x)$, the dual of the fermion bilinear, as the order parameter. We calculate and classify the fermion spectral functions in the presence of such orders. Depending on the symmetry, we found spectral features like the gap, pseudo-gap, flat disk bands and the Fermi-arc connecting the two Dirac cones, which are familiar in Dirac material and Kondo lattice. Many of above features are associated with the zero modes whose presence is tied with a discrete symmetry of the interaction. The interaction induced zero modes either makes the strongly correlated system fermi-liquid like, or creates a disk-like flat band. Some of the order parameters in the bulk theory do not have an interpretation of symmetry breaking in terms of the boundary space, which opens the possibility of 'an order without symmetry breaking'.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
