Chin. Phys. Lett.  2020, Vol. 37 Issue (1): 017403    DOI: 10.1088/0256-307X/37/1/017403
Superconductivity, Pair Density Wave, and Néel Order in Cuprates
Li-Han Chen1, Da Wang1,2, Yi Zhou3,4,2, Qiang-Hua Wang1,2**
1National Laboratory of Solid State Microstructures and School of Physics, Nanjing University, Nanjing 210093
2Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093
3Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190
4CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190
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Li-Han Chen, Da Wang, Yi Zhou et al  2020 Chin. Phys. Lett. 37 017403
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Abstract We investigate in underdoped cuprates possible coexistence of the superconducting order at zero momentum and pair density wave (PDW) at momentum ${\boldsymbol Q}=(\pi, \pi)$ in the presence of a Néel order. By symmetry, the d-wave uniform singlet pairing $dS_0$ can coexist with the d-wave triplet PDW $dT_{\boldsymbol Q}$, and the p-wave singlet PDW $pS_{\boldsymbol Q}$ can coexist with the p-wave uniform triplet $pT_0$. At half filling, we find that the novel $pS_{\boldsymbol Q}+pT_0$ state is energetically more favorable than the $dS_0+dT_{\boldsymbol Q}$ state. At finite doping, however, the $dS_0+dT_{\boldsymbol Q}$ state is more favorable. In both types of states, the variational triplet parameters $dT_{\boldsymbol Q}$ and $pT_0$ are of secondary significance. Our results point to a fully symmetric $Z_2$ quantum spin liquid with spinon Fermi surface in proximity to the Néel order at zero doping, which may not be adiabatically connected to the d-wave singlet superconductivity at finite doping with intertwining d-wave triplet PDW fluctuations and spin moment fluctuations. The results are obtained by variational quantum Monte Carlo simulations.
Received: 16 December 2019      Published: 29 December 2019
PACS:  74.20.-z (Theories and models of superconducting state)  
  74.20.Rp (Pairing symmetries (other than s-wave))  
  71.27.+a (Strongly correlated electron systems; heavy fermions)  
Fund: Supported by the National Key Research and Development Program of China under Grant Nos. 2016YFA0300401 and 2016YFA0300202, the National Natural Science Foundation of China under Grant Nos. 11574134, 11874205 and 11774306, and the Strategic Priority Research Program of Chinese Academy of Sciences (No. XDB28000000).
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Li-Han Chen
Da Wang
Yi Zhou
Qiang-Hua Wang
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