量子化霍尔电导, σxy=C⋅e2h, C=12π∫BZd2k∑s∈occΩxy,s(k) 拓扑保护边界态,以及对应的bulk-boundary correspondence概念(体边对应) 本文的这部分会重复一部分推导过程,同时索引我参考的很多优秀的知乎文章。当然,本文会大量使用格林函数技巧,但是不会对具体的格林函数计算做过大篇幅的说明,基本上只是在...
Breakdown of Landau's hypothesis of adiabatic continuation from noninteracting to fully interacting electrons is commonly believed to bring about a violation of Luttinger's theorem. Here, we elucidate what may go wrong in the proof of Luttinger's theorem. The analysis provides a simple way to ...
We discuss field-theoretical observables that are sensitive to this distinction. If the charged fields are fermionic, we discuss a modified Luttinger's theorem that holds for holographic systems, in which the sum of boundary theory Fermi surfaces counts only the charge outside of the horizon. If...
This demonstrates that Luttinger's theorem does not extend to non-Fermi liquids. We comment on possible experimental signatures.doi:10.48550/arXiv.1006.1846Larsen, Finnvan Anders, GregPhysicsF. Larsen and G. van Anders. Holographic Non-Fermi Liquids and the Luttinger Theorem. ArXiv e-prints, ...
Campo Jr.Friedel oscillations in one-dimensional metals:from Luttinger’’s theorem to the Luttinger liquid. Journal of Magnetism and Magnetic Materials . 2008Friedel oscillations in one-dimensional metals: From Luttinger’s theorem to the Luttinger liquid[J] . Daniel Vieira,Henrique J.P. Freire,V...
respectively. Pr227 is a QBT system and we can assume that at small momenta, it has an isotropic Fermi surface. In three dimensions, Luttinger’s theorem tells us that charge density and the Fermi wave vector (kF) are related by the expressionn = k_{\rm F}^3/3π2. Working fro...
OF)算法 对角化以外的线性标度 构造有效哈密顿量的算法 几何优化与分子动力学 TDDFT Part III:应用 ground-state energy by varying to minimize the functional can vary the KS orbitals minimize the above energy expression subject to the orthonormality constraint: The Hohenberg-Kohn variational theorem tell ...
Violation of Luttinger's Theorem in the Two-Dimensional t-J Model We have calculated the high temperature series for the momentum distribution function n_k of the 2D t-J model to 12th order in inverse temperature. By extrapolating the series to T=0.2J we searched for a Fermi surface of th...
Chiral Luttinger liquids and a generalized Luttinger's theorem in fractional quantum Hall edges via finite-entanglement scaling We use bosonic field theories and the infinite system density matrixrenormalization group (iDMRG) method to study infinite strips of fractionalquantum Hall... D Varjas,MP Zal...
by the theorem: If the particle with spin s is within the class h, then its dual s + 1 2 is into the class ˜ h. 1 This word was used by Alexander and Orbach in another context [8]. 2 Now in [2] we have obtained a relation between fractons and conformal field theory(CFT...