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Updated: Apr 19, 2026

Thermochemical Studies of NiII and ZnII Ternary Complexes Using Ion Mobility-Mass Spectrometry
Published on: June 8, 2022
Phase diagram of the triangular extended Hubbard model
Luca F Tocchio1, Claudius Gros2, Xue-Feng Zhang3
1Institute for Theoretical Physics, University of Frankfurt, Max-von-Laue-Straße 1, D-60438 Frankfurt, Germany and CNR-IOM-Democritos National Simulation Centre and International School for Advanced Studies (SISSA), Via Bonomea 265, I-34136 Trieste, Italy.
We investigated exotic metallic states in the extended Hubbard model on a triangular lattice. Our findings reveal stable coexisting charge order, magnetic order, and conductivity due to particle separation.
Area of Science:
- Condensed matter physics
- Quantum magnetism
- Solid-state chemistry
Background:
- The triangular lattice presents kinetic frustration, influencing electron behavior.
- Strong interactions in condensed matter systems can lead to complex, exotic phases.
- Understanding charge order and conductivity coexistence is crucial in materials science.
Purpose of the Study:
- To investigate the extended Hubbard model on a triangular lattice.
- To explore the phase diagram as a function of electron filling and interaction strength.
- To understand the coexistence of charge order, antiferromagnetic order, and metallic conductivity.
Main Methods:
- Variational Monte Carlo simulations were employed.
- The study analyzed the extended Hubbard model.
- Phase stability was examined concerning nearest-neighbor interactions and electron filling.
Main Results:
- Three distinct ordered metallic states were found to be stable.
- Exotic phases exhibiting coexisting charge order, antiferromagnetic order, and conductivity were identified.
- A particle separation mechanism explains the coexistence of conductivity and order.
Conclusions:
- The extended Hubbard model on a triangular lattice hosts novel ordered metallic states.
- Particle separation into ordered and conducting subsystems is key to understanding these phases.
- Findings offer insights into charge ordering phenomena in materials like charge transfer salts.
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