Exact ground state for 1D electronic models

Abstract

We have found the exact ground state for two electronic models on a linear chain. The first model describes half-filling electron system in the ferromagnet--antiferromagnet transition point. In the singlet ground state the spin correlators show giant spiral magnetic ordering with the period of a spiral equals to the system size. The second electronic model describes the point where the ground state has giant spiral off-diagonal long-range order and, therefore, superconducting. We suggest the formation of the ground state with giant spiral order (ferromagnetic or off-diagonal) as a probable scenario of the subsequent destruction of the ferromagnetism and the superconductivity.

13 pages, 1 figure

References in corpus (3)

• Exact ground states for a class of one-dimensional frustrated quantum spin models
• Exactly solvable spin ladder model with degenerate ferromagnetic and singlet states
• Exactly solvable two-dimensional quantum spin models

Cited by in corpus (4)

• Entanglement and level crossings in frustrated ferromagnetic rings
• Electronic Ladders with SO(5) Symmetry: Phase Diagrams and Correlations at half-filling
• Exact Bond-Located Spin Ground State in the Hubbard Chain with Off-Diagonal Coulomb Interactions
• Exact singlet bond ground states for electronic models