Spin-wave condensation and quantum melting of long-range antiferromagnetic order in t-J model

Abstract

Ground state wave function of two-dimensional t-J model is found at doping close to half filling. It is shown that the condensation of Cooper pairs (superconducting pairing of mobile holes) and the condensation of spin-waves into spin-liquid state are closely connected. The effective spectrum of $S=1$ excitations, spin-wave gap pseudo-gap ${\Delta }_M$, magnetic correlation length ${\xi }_M$, and static magnetic formfactor $S_M(\mathbf{q})$ are calculated.

LaTeX 19 pages, 13 figures

References in corpus (16)

• Correlated Electrons in High Temperature Superconductors
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Electronic excitations in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_8$ : Fermi surface, dispersion, and absence of bilayer splitting
• Toward a Unified Magnetic Phase Diagram of the Cuprate Superconductors
• Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures
• Hole-hole superconducting pairing in the t-J model induced by spin-wave exchange
• Quasiparticle dispersion of the t-J and Hubbard models
• Quantum Phase Transition in the Frustrated Heisenberg Antiferromagnet
• Reduction of three-band model for copper oxides to single-band generalized t~-~J model
• Large size two-hole bound states in t-J model
• Quantum Phases of the Shraiman-Siggia Model
• Validity of the rigid band picture for the t-J model
• The hole-hole superconducting pairing in t-J model induced by the long-range spin-wave exchange
• Hole-Hole Contact Interaction in the t-J Model
• The incoherent part of the spin-wave polarization operator in the t-J model

Cited by in corpus (8)

• The dispersion of a single hole in an antiferromagnet
• Stripe as an effective one-dimensional band of composite excitations
• The Symmetries of the Order Parameters for Pairing and Phase Coherence in Hole-Doped Cuprates
• Canonical Transformation of the Three-Band Hubbard Model and Hole Pairing
• Nature of the spin liquid in underdoped cuprate superconductors
• W=0 pairing in Hubbard and related models of low-dimensional superconductors
• The origin of hour-glass magnetic dispersion in underdoped cuprate superconductors
• Superconductivity and spin triplet collective mode in the t-J model close to antiferromagnetic instability