d- and p-wave Quantum Liquid Crystal Orders in Cuprate Superconductors, κ-(BEDT-TTF)₂X, and Coupled Chain Hubbard Models : Functional-renormalization-group Analysis

DOI DOI Web Site Web Site 6 Citations 109 References

Bibliographic Information

Other Title
  • Charge Orders and Fluctuations in Cuprate High-temperature Superconductors

Search this article

Description

Unconventional symmetry breaking without spin order,such as the rotational symmetry breaking (=nematic or smectic) orders as well as the spontaneous loop-current orders, have been recently reported in cuprate superconductors and their related materials.They are theoretically represented by non-$A_{1g}$ symmetry breaking in self-energy, which we call the form factor $f_{k,q}$.In this paper, we analyze typical Hubbard models by applying the renormalization-group (RG) method, and find that various unconventional ordering emerges due to the quantum interference among spin fluctuations. Due to this mechanism,nematic ($q=0$) and smectic ($q \ne 0$)bond orders with $d$-wave form factor appear $f_{k,q}\propto \cos k_x - \cos k_y$ in both cuprates and $��$-(BEDT-TTF)$_2$X. The derived bond orders naturally explain the pseudogap behaviors in these compounds. The quantum interference also induces various current orders with odd-parity form factor. For example, we find the emergence of the charge and spin loop-current orders with $p$-wave form factor in geometrically frustrated Hubbard models. Thus, rich quantum phase transitions with $d$- and $p$-wave form factors are driven by the paramagnon interference in many low-dimensional Hubbard models.

13 pages, 13 figures

Journal

Citations (6)*help

See more

References(109)*help

See more

Related Projects

See more

Keywords

Details 詳細情報について

Report a problem

Back to top