The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions

Abstract

The momentum bands, energy dispersions, and velocities of the charge $c$ fermions and spin-neutral two-spinon $s1$ fermions of a square-lattice quantum liquid referring to the Hubbard model on such a lattice of edge length $L$ in the one- and two-electron subspace are studied. The model involves the effective nearest-neighbor integral $t$ and on-site repulsion $U$ and can be experimentally realized in systems of correlated ultra-cold fermionic atoms on an optical lattice and thus our results are of interest for such systems. Our investigations profit from a general rotated-electron description, which is consistent with the model global $SO(3)\times SO(3)\times U(1)$ symmetry. For the model in the one- and two-electron subspace the discrete momentum values of the $c$ and $s1$ fermions are good quantum numbers so that in contrast to the original strongly-correlated electronic problem their interactions are residual. The use of our description renders an involved many-electron problem into a quantum liquid with some similarities with a Fermi liquid.

61 pages, 1 figure, published in Nuclear Physics B

References in corpus (15)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Two Gaps Make a High Temperature Superconductor?
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• Universal theory of nonlinear Luttinger liquids
• A multi-component Fermi surface in the vortex state of an underdoped high-Tc superconductor
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Spectral function of spinless fermions on a one-dimensional lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model: a non-linear sigma model approach
• Emergence of Cooper pairs, d-wave duality and the phase diagram of cuprate superconductors
• Anisotropic quasiparticle scattering rates in slightly underdoped to optimally doped high-temperature \LSCO\ superconductors
• Hidden Fermi Liquid: The Secret of High Tc Cuprates
• Dynamical Functions of a 1D Correlated Quantum Liquid

Cited by in corpus (5)

• Hubbard-model description of the high-energy spin-spectral-weight distribution in La(2)CuO(4)
• The $SO(3)\times SO(3)\times U(1)$ Hubbard model on a square lattice in terms of $c$ and $\alpha \nu$ fermions and deconfined $\eta$-spinons and spinons
• Spinon and eta-spinon correlation functions
• Spin-spectral-weight distribution and energy range of the parent compound La${}_2$CuO${}_4$
• One-electron scattering rate and normal-state linear-$T$ resistivity of the cuprates