Hidden spin current in doped Mott antiferromagnets

Abstract

We investigate the nature of doped Mott insulators using exact diagonalization and density matrix renormalization group methods. Persistent spin currents are revealed in the ground state, which are concomitant with a nonzero total momentum or angular momentum associated with the doped hole. The latter determines a nontrivial ground state degeneracy. By further making superpositions of the degenerate ground states with zero or unidirectional spin currents, we show that different patterns of spatial charge and spin modulations will emerge. Such anomaly persists for the odd numbers of holes, but the spin current, ground state degeneracy, and charge/spin modulations completely disappear for even numbers of holes, with the two-hole ground state exhibiting a d-wave symmetry. An understanding of the spin current due to a many-body Berry-like phase and its impact on the momentum distribution of the doped holes will be discussed.

arXiv comment9 pages, 9 figures, update second version including more data and discussion added

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Cited by in corpus (15)

• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• Critical role of the sign structure in the doped Mott insulator: Superconductivity vs. Fermi liquid
• Two-Hole Ground State: Dichotomy in Pairing Symmetry
• Two-hole ground state wavefunction: Non-BCS pairing in a $t$-$J$ two-leg ladder system
• Single-hole wave function in two dimensions: A case study of the doped Mott insulator
• Topological nature of Hubbard bands in strongly correlated systems
• Phenomenological Single-Particle Green's Function for the Pseudogap and Superconducting Phases of High-T${}_c$ Cuprates
• Topological states in strongly correlated systems
• Spin Texture in Doped Mott Insulators with Spin-Orbit Coupling
• Mottness, Phase String, and High-$T_c$ Superconductivity
• Spin loop-current textures in Hubbard models
• Continuous transition from a Landau quasiparticle to a neutral spinon
• Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach
• Fermi-Hubbard model on non-bipartite lattices: flux problem and emergent chirality
• Quantum entanglement in the t-J chain: From charge-spin separation to recombination