scholarly journals Negative Energy Antiferromagnetic Instantons Forming Cooper-Pairing ‘Glue’ and ‘Hidden Order’ in High-Tc Cuprates

2018 ◽  
Vol 3 (4) ◽  
pp. 39 ◽  
Author(s):  
Sergei Mukhin

An emergence of magnetic boson of instantonic nature, that provides a Cooper-‘pairing glue’, is considered in the repulsive ‘nested’ Hubbard model of superconducting cuprates. It is demonstrated that antiferromagnetic instantons of a spin density wave type may have negative energy due to coupling with Cooper pair condensate. A set of Eliashberg like equations is derived and solved self-consistently, proving the above suggestion. An instantonic propagator plays the role of the Green function of the pairing ‘glue’ boson. Simultaneously, the instantons defy condensation of the mean-field spin-density wave (SDW) order. We had previously demonstrated in analytical form that periodic chain of instanton-anti-instanton pairs along the axis of Matsubara time has zero scattering cross section for weakly perturbing external probes, like neutrons, etc., thus representing a ‘hidden order’. Hence, the two competing orders, superconducting and antiferromagnetic, may coexist (below some T c ) in the form of the superconducting order coupled to ‘hidden’ instantonic one. This new picture is discussed in relation with the mechanism of high temperature superconductivity.

2018 ◽  
Vol 536 ◽  
pp. 457-460 ◽  
Author(s):  
W. Knafo ◽  
D. Aoki ◽  
G.W. Scheerer ◽  
F. Duc ◽  
F. Bourdarot ◽  
...  

Science ◽  
2019 ◽  
Vol 365 (6460) ◽  
pp. 1424-1428 ◽  
Author(s):  
Hong-Chen Jiang ◽  
Thomas P. Devereaux

The Hubbard model is widely believed to contain the essential ingredients of high-temperature superconductivity. However, proving definitively that the model supports superconductivity is challenging. Here, we report a large-scale density matrix renormalization group study of the lightly doped Hubbard model on four-leg cylinders at hole doping concentration δ = 12.5%. We reveal a delicate interplay between superconductivity and charge density wave and spin density wave orders tunable via next-nearest neighbor hopping t′. For finite t′, the ground state is consistent with a Luther-Emery liquid with power-law superconducting and charge density wave correlations associated with half-filled charge stripes. In contrast, for t′ = 0, superconducting correlations fall off exponentially, whereas charge density and spin density modulations are dominant. Our results indicate that a route to robust long-range superconductivity involves destabilizing insulating charge stripes in the doped Hubbard model.


1990 ◽  
Vol 41 (10) ◽  
pp. 7264-7266 ◽  
Author(s):  
Hanyou Chu ◽  
E. W. Fenton

2005 ◽  
Vol 19 (15n17) ◽  
pp. 2586-2591 ◽  
Author(s):  
Y. F. DUAN ◽  
Z. L. LIU ◽  
K. L. YAO

The ground state properties and spin-density wave of polymeric Hubbard chains are studied by means of the mean-field theory. It is shown that topological structure of the chain possesses a flat-band structure of the energy band. Our analysis shows that the on- site Coulomb repulsion of electrons in the chain leads to the coexistence of ferromagnetic and antiferromagnetic order, i,e., the ferrimagnetic order. Away from half filling, the system displays magnetic phase separation. Possible experimental realizations are suggested.


2016 ◽  
Vol 7 (1) ◽  
Author(s):  
W. Knafo ◽  
F. Duc ◽  
F. Bourdarot ◽  
K. Kuwahara ◽  
H. Nojiri ◽  
...  

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