Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains

Abstract

We discuss the rich phase diagram of doped AB2 $t-J$ chains by using data from density matrix renormalization group and exact diagonalization techniques. The $J$ vs $\delta$ (hole doping) phase diagram exhibits regions of itinerant ferrimagnetism, incommensurate, resonating valence bond and Nagaoka states, phase separation, and Luttinger liquid (LL) physics. Several features are highlighted, such as the modulated ferrimagnetic structure, the occurrence of Nagaoka spin polarons in the underdoped regime and small values of $J=4t^2/U$, where $t$ is the first-neighbor hopping amplitude and $U$ is the on-site repulsive Coulomb interaction, incommensurate structures with nonzero magnetization, and strong-coupling LL physics in the high-doped regime. We also verify that relevant findings are in agreement with the corresponding findings in square and n-leg ladder lattices. In particular, we mention the instability of Nagaoka ferromagnetism against $J$ and $\delta$.

arXiv comment6 pages,6 figures

References in corpus (31)

• The density-matrix renormalization group
• Complexity in Strongly Correlated Electronic Systems
• One-Dimensional Fermi liquids
• Competing states in the t-J model: uniform d-wave state versus stripe state
• From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
• Stripes in the two-dimensional t-J model with infinite projected entangled-pair states
• Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
• Luttinger liquid behaviour and superconducting correlations in t-J ladders
• Phases of the infinite U Hubbard model
• Critical Behaviour of Mixed Heisenberg Chains
• Nagaoka ferromagnetism in the two-dimensional infinite-U Hubbard model
• Interacting spinless fermions in a diamond chain
• Absence of static stripes in the two-dimensional $t-J$ model by an accurate and systematic quantum Monte Carlo approach
• Spontaneously magnetized Tomonaga-Luttinger liquid in frustrated quantum antiferromagnets
• Frustration Induced Quantum Phases in Mixed Spin Chain with Frustrated Side Chains
• Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
• The breakdown of the Nagaoka phase in the 2D t-J model
• Stripes and Superconductivity in Cuprates
• Diagonal Ladders: A New Class of Models for Strongly Coupled Electron Systems
• Doped AB_2 Hubbard Chain: Spiral, Nagaoka and RVB States, Phase Separation and Luttinger Liquid Behavior
• Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
• Quasi-One-Dimensional Quantum Ferrimagnets
• Conductance through geometrically frustrated itinerant electronic systems
• Ferrimagnetism of the Heisenberg Models on the Quasi-One-Dimensional Kagome Strip Lattices
• Low-energy structure of the intertwining double-chain ferrimagnets A_3_Cu_3_(PO_4_)_4_ (A=Ca,Sr,Pb)
• Universality of modulation length (and time) exponents
• Effective approach to the Nagaoka regime of the two dimensional t-J model
• Magnetism and Electronic Correlations in Quasi-One-Dimensional Compounds
• Universality Classes of Diagonal Quantum Spin Ladders
• Quantum Rotors on the AB${}_2$ Chain with Competing Interactions
• Fragmented superfluid due to frustration of cold atoms in optical lattices

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• Local properties of the t-J model in a two-pole approximation within COM
• Trimers in the Extended Hubbard Model