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Hubbard model on the triangular lattice: spiral order and spin liquid
Peyman Sahebsara1, David Sénéchal
1Département de Physique and Regroupement Québécois sur les Matériaux de Pointe, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1.
Investigating the Hubbard model on a triangular lattice reveals transitions between spiral magnetic order, a spin liquid state, and a metallic phase as repulsion strength changes. These findings are crucial for understanding complex magnetic behaviors in materials.
Area of Science:
- Condensed Matter Physics
- Quantum Materials Science
Background:
- The Hubbard model is a fundamental model for understanding electron correlation in materials.
- Triangular lattices exhibit unique magnetic frustration phenomena.
Purpose of the Study:
- To investigate the phase diagram of the half-filled Hubbard model on an isotropic triangular lattice.
- To explore the transitions between magnetic and non-magnetic phases under varying on-site repulsion.
Main Methods:
- Utilizing the variational cluster approximation (VCA).
- Employing finite-size clusters (3, 6, and 15 sites) with open boundary conditions.
- Extrapolating results to an infinite lattice size.
Main Results:
- A transition from spiral magnetic order to a non-magnetic Mott insulating spin liquid phase upon decreasing on-site repulsion (U).
- A further transition to a metallic phase for U <= 6.7t.
- Extrapolation suggests a disordered phase at U = 8t and spiral order for U >= 12t.
Conclusions:
- The study maps key phases of the triangular lattice Hubbard model, including spin liquid and spiral order.
- Results highlight the importance of lattice geometry and electron correlation in determining material properties.
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