Spin correlations in hole-doped ladder cuprates

A lithium dopant in a cuprate spin ladder acts as a vacant (nonmagnetic) site accompanied by an extra hole bound by a Coulomb potential. We find that, although the undoped ladder spin gap is not essentially altered by Li doping, a dopant-magnon bound state appears just below the gap. Contrary to Zn-doped ladders, the spin liquid character of a Li-doped ladder should be robust against antiferromagnetism. We give a possible explanation for the similarity of Zn and Li dopants in underdoped cuprates and propose experimental tests.A lithium dopant in a cuprate spin ladder acts as a vacant (nonmagnetic) site accompanied by an extra hole bound by a Coulomb potential. We find that, although the undoped ladder spin gap is not essentially altered by Li doping, a dopant-magnon bound state appears just below the gap. Contrary to Zn-doped ladders, the spin liquid character of a Li-doped ladder should be robust against antiferromagnetism. We give a possible explanation for the similarity of Zn and Li dopants in underdoped cuprates and propose experimental tests.

arXiv:cond-mat/0108099Physical Review LettersJun 5, 20026 citations

Superconductivity in doped two-leg ladder cuprates

Jihong Qin, Feng Yuan, Shiping Feng

arXiv:cond-mat/0603567Physics Letters AJun 3, 20065 citations

Resonant magnetic mode in superconducting two-leg ladders

Didier Poilblanc, E. Orignac, Steven R. White +1 more

The spin dynamics of a doped two-leg spin ladder is investigated by numerical techniques. We show that a hole pair-magnon boundstate evolves at finite hole doping into a sharp magnetic excitation below the two-particle continuum. This is supported by a field theory argument based on a $\mathrm{SO}(6)$ -symmetric ladder. Similarities and differences with the resonant mode of the high- ${T}_{C}$ cuprates are discussed.The spin dynamics of a doped two-leg spin ladder is investigated by numerical techniques. We show that a hole pair-magnon boundstate evolves at finite hole doping into a sharp magnetic excitation below the two-particle continuum. This is supported by a field theory argument based on a $\mathrm{SO}(6)$-symmetric ladder. Similarities and differences with the resonant mode of the high-${T}_{C}$ cuprates are discussed.

arXiv:cond-mat/0402011Physical Review BJun 18, 200421 citations

Doping asymmetry in the three-band Hamiltonian for cuprate ladders: Failure of the standard model of superconductivity in cuprates

Jeong-Pil Song, S. Mazumdar, Rudolf Torsten Clay

The relevance of the single-band two-dimensional Hubbard model to superconductivity in the doped cuprates has recently been questioned, based on density matrix renormalization group (DMRG) computations that found superconductivity over an unrealistically broad doping region upon electron-doping, yet a complete absence of superconductivity for hole-doping. We report very similar results from DMRG calculations on a ${\mathrm{Cu}}_{2}{\mathrm{O}}_{3}$ two-leg ladder within the parent three-band correlated-electron Hamiltonian. The strong asymmetry found in our calculations are in contradiction to the deep and profound symmetry in the experimental phase diagrams of electron- and hole-doped cuprate superconductors, as seen from the occurrence of quantum critical points within the superconducting domes in both cases that are characterized by Fermi surface reconstruction, large jumps in carrier density, and strange metal behavior.The relevance of the single-band two-dimensional Hubbard model to superconductivity in the doped cuprates has recently been questioned, based on density matrix renormalization group (DMRG) computations that found superconductivity over an unrealistically broad doping region upon electron-doping, yet a complete absence of superconductivity for hole-doping. We report very similar results from DMRG calculations on a ${\mathrm{Cu}}_{2}{\mathrm{O}}_{3}$ two-leg ladder within the parent three-band correlated-electron Hamiltonian. The strong asymmetry found in our calculations are in contradiction to the deep and profound symmetry in the experimental phase diagrams of electron- and hole-doped cuprate superconductors, as seen from the occurrence of quantum critical points within the superconducting domes in both cases that are characterized by Fermi surface reconstruction, large jumps in carrier density, and strange metal behavior.

arXiv:2302.08356Physical review. B./Physical review. BJun 27, 20235 citations

Theory of Spin Correlations in Antiferromagnetic Spin Ladders

Alexei M. Tsvelik

APSMar 1, 19970 citations

\mathrm{SO}(6)

-symmetric ladder. Similarities and differences with the resonant mode of the high-

{T}_{C}

cuprates are discussed.

{\mathrm{Cu}}_{2}{\mathrm{O}}_{3}

two-leg ladder within the parent three-band correlated-electron Hamiltonian. The strong asymmetry found in our calculations are in contradiction to the deep and profound symmetry in the experimental phase diagrams of electron- and hole-doped cuprate superconductors, as seen from the occurrence of quantum critical points within the superconducting domes in both cases that are characterized by Fermi surface reconstruction, large jumps in carrier density, and strange metal behavior.