Interplay of charge density wave, pairing density wave and superconductivity in high Tc cuprate superconductors

Shih-Si Hsiao^1*, Chung-Yu Mou^1,2

¹Center for Quantum Science and Technology and Department of Physics, National Tsing-Hua University, Hsinchu, Taiwan
²Institute of Physics, Academia Sinica, Taipei, Taiwan

* Presenter:Shih-Si Hsiao, email:tousiotousio@gmail.com

In this work, we study the interplay of charge density wave (CDW), pair density wave (PDW), and d-wave superconducting (SC) orders in high-temperature cuprate superconductors in temperature-doping phase diagram. Using the renormalized mean-field theory based on the t-J model formulated in real space, we derive self-consistent equations that incorporate CDW, PDW and d-wave SC order parameters. We focus on wavevectors that are /4 and its multiples m/4 with m = 0, 1, 2,…7 for both x and y components. Our results indicate that density waves are dominated by wavevectors being /4 and its multiples in the underdoped regime, and they are dominated by wavevectors being /2 and its multiples around the optimum doping regime. Furthermore, density waves continue to the overly doped regime where both CDW and PDW vanish at the same around 0.19, displaying a quantum critical point of O(4) symmetry at doping level 0.19.

Keywords: Charge Density Wave, Pair Density Wave, Superconductivity , High-Tc Cuprate Superconductors