Uncovering double-stripe and plaquette antiferromagnetic states in the one-band Hubbard model on a frustrated square lattice

Abstract

Groundstate magnetism of the one-band Hubbard model on the frustrated square lattice where both nearest-neighbour $t_1$ and next-nearest-neighbour $t_2$ hoppings are considered at half-filling are revisited within mean field approximation. Two new magnetic phases are detected at intermediate strength of Hubbard $U$ and relative strong frustration of $t_2/t_1$, named double-stripe and plaquette antiferromagnetic states, both of which are metallic and stable even at finite temperature and electron doping. The nature of the phase transitions between different phases and the properties of the two new states are analyzed in detail. Our results of various magnetic states emerging from geometric frustration in the minimal model suggests that distinct antiferromagnetism observed experimentally in the parent states of two high-T${}_c$ superconducting families, i.e., cuprates and iron-based superconductors, may be understood from a unified microscopic origin, irrespective of orbital degrees of freedom, or hoppings further than next-nearest neighbour, etc.

arXiv comment19 pages, 9 figures

References in corpus (38)

• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Quantum Spin Liquid States
• A Common Thread: the pairing interaction for the unconventional superconductors
• Strong electronic correlations from Hund's coupling
• Magnetic order in BaFe2As2, the parent compound of the FeAs based superconductors in a new structural family
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Kinetic frustration and the nature of the magnetic and paramagnetic states in iron pnictides and iron chalcogenides
• Antiferromagnetic order and spin dynamics in iron-based superconductors
• First-order magnetic and structural phase transitions in Fe${}_{1+y}$Se${}_x$Te${}_{1-x}$
• Electronic correlations in the iron pnictides
• Selective Mottness as a key to iron superconductors
• Effect of magnetic frustration on nematicity and superconductivity in Fe chalcogenides
• Bi-collinear antiferromagnetic order in the tetragonal $\alpha$-FeTe
• Comparison of Ab initio Low-Energy Models for LaFePO, LaFeAsO, BaFe2As2, LiFeAs, FeSe and FeTe: Electron Correlation and Covalency
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• Hund's coupling key role in multi-orbital correlations
• Orbital-selective Mott Phase in Multiorbital Models for Alkaline Iron Selenides K(1-x)Fe(2-y)Se2
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions
• Antiferromagnetic ground state with pair-checkboard order in FeSe
• Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
• An unified minimum effective model of magnetism in iron-based superconductors
• Magnetism and d-wave superconductivity on the half-filled square lattice with frustration
• Antiferromagnetic order in epitaxial FeSe films on SrTiO3
• A spin-freezing perspective on cuprates
• Mott transition and magnetism of the triangular-lattice Hubbard model with next-nearest-neighbor hopping
• Spin-wave excitations and superconducting resonant mode in Cs(x)Fe(2-y)Se2
• Conditions for magnetically induced singlet d-wave superconductivity on the square lattice
• Magnetism in parent Fe-chalcogenides: quantum fluctuations select a plaquette order
• Possible origin of the reduced magnetic moment in iron pnictides: A dynamical mean field theory study
• A General Mechanism for Orbital Selective Phase Transitions
• Collinear antiferromagnetic state in a two-dimensional Hubbard model at half filling
• Spin fluctuations away from (pi,0) in the superconducting phase of molecular-intercalated FeSe
• Magnetic properties and Mott transition in the square-lattice Hubbard model with frustration
• Role of Frustration and Dimensionality in the Hubbard Model on the Stacked Square Lattice: Variational Cluster Approach
• Plaquette instability competing with bicollinear ground state in detwinned FeTe
• Phase Diagram of the Frustrated Square-Lattice Hubbard Model: Variational Cluster Approach
• Distinct Nature of Orbital Selective Mott Phases Dominated by the Low-energy Local Spin Fluctuations

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