Difference between Hubbard and tJ model

Thread starter LagrangeEuler
Start date Jan 23, 2015
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Difference Hubbard Model

In summary, the main difference between Hubbard and tJ model is that Hubbard model only considers electron-electron interactions, while tJ model includes both electron-electron and electron-lattice interactions. The Hamiltonian formulation of Hubbard model includes only the kinetic energy and electron-electron interactions, while the tJ model also includes electron-lattice interactions and additional terms to account for double occupancy of lattice sites. Both models can be used to study similar physical phenomena, but the results may differ due to the different types of interactions considered. The Hubbard model is often used to study high-temperature superconductivity, but the tJ model can also be used by including electron-lattice interactions. There have been numerous experimental studies that support the predictions of both models,

Jan 23, 2015

LagrangeEuler

What is the difference between Hubbard and tJ model? Does anyone knows?

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Jan 27, 2015

DrDu

Science Advisor

http://arxiv.org/abs/0706.4236

Related to Difference between Hubbard and tJ model

1. What is the main difference between Hubbard and tJ model?

The main difference between Hubbard and tJ model is that Hubbard model only considers electron-electron interactions, while tJ model includes both electron-electron and electron-lattice interactions.

2. How do the Hubbard and tJ models differ in terms of their Hamiltonian formulation?

The Hamiltonian formulation of Hubbard model includes only the kinetic energy and electron-electron interactions, while the tJ model also includes electron-lattice interactions and additional terms to account for double occupancy of lattice sites.

3. Can the Hubbard and tJ models be used to study the same physical phenomena?

Yes, both models can be used to study similar physical phenomena, such as metal-insulator transitions and magnetism in strongly correlated electron systems. However, the results obtained from each model may differ due to the different types of interactions considered.

4. Which model is more suitable for studying high-temperature superconductivity?

The Hubbard model is often used to study high-temperature superconductivity, as it can capture the key features of electron-electron interactions in these systems. However, the tJ model can also be used to study high-temperature superconductivity by including electron-lattice interactions.

5. Are there any experimental evidences for the validity of the Hubbard and tJ models?

Yes, there have been numerous experimental studies that support the predictions of the Hubbard and tJ models, such as the observation of Mott insulator transitions, spin and charge ordering, and unconventional superconductivity in strongly correlated materials. However, these models are still being refined and improved to better describe real materials.