p-orbital density wave withdsymmetry in high-Tccuprate superconductors predicted by renormalization-group + constrained RPA theory

摘要: The discovery of the charge-density-wave formation in high-${T}_{c}$ cuprate superconductors has activated intensive theoretical studies for pseudogap states. However, microscopic origin state been unknown so far since many-body effects beyond mean-field-level approximations, called vertex corrections, are essential. Toward solving this problem, we employ recently developed functional renormalization group method, by which can calculate higher-order corrections a systematic and unbiased way with high numerical accuracy. We discover critical development $p$-orbital-density-wave ($p$-ODW) instability strong-spin-fluctuation region. obtained $p$-ODW possesses key characteristics charge-ordering pattern Bi- Y-based superconductors, such as wave vector parallel to nearest Cu-Cu direction, $d$-symmetry form factor antiphase correlation between ${p}_{x}$ ${p}_{y}$ orbitals same unit cell. In addition, from observation beautiful scaling relation spin susceptibility susceptibility, conclude that main driving force density is Aslamazov-Larkin correction becomes very singular near magnetic quantum-critical point.