Physical meaning of terms in the Qi, Wu, Zhang model

In summary, the Hamiltonian of the Qi, Wu, Zhang model describes the energy of a system in momentum space. It is given by (sink_x) \sigma_{x}+(sink_y) \sigma_{y}+(m+cosk_x+cosk_y)\sigma_{z} and each component (sine terms and cosines) has a specific physical meaning in the analysis of the system's energy. A real space Hamiltonian is also provided for easier understanding.
  • #1
Joker93
504
36
The Hamiltonian of the Qi, Wu, Zhang model is given by(in momentum space):
## H(\vec{k})=(sink_x) \sigma_{x}+(sink_y) \sigma_{y}+(m+cosk_x+cosk_y)\sigma_{z} ## .
What is the physical meaning of each component of this Hamiltonian?

Note: for the real space Hamiltonian(where maybe the analysis of the physical content each of the term is easier), see attached.
 

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  • Qi, Qu, Zhang real space Hamiltonian.png
    Qi, Qu, Zhang real space Hamiltonian.png
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  • #2
Could someone help with the math formatting? I can't get it right!
 
  • #3
Joker93 said:
Could someone help with the math formatting? I can't get it right!
Don't use a bold letter H within ##'s. Use {\bf H} instead.
 
  • #4
better even \mathbf{H}
 

1. What is the Qi, Wu, Zhang model?

The Qi, Wu, Zhang model is a mathematical model used to study the dynamics of physical systems, particularly in the field of condensed matter physics.

2. What is the physical meaning of Qi?

Qi represents the energy or force associated with a specific physical system. It can also be interpreted as the total amount of energy needed to create a particular physical state.

3. What does Wu signify in the model?

In the Qi, Wu, Zhang model, Wu represents the potential energy of a physical system. It can also be thought of as the minimum energy required for a system to change from one state to another.

4. What is the significance of Zhang in the model?

Zhang represents the thermal energy of a physical system, which is the energy associated with the movement of particles within the system. It is also known as the kinetic energy of the system.

5. How is the Qi, Wu, Zhang model used in scientific research?

The Qi, Wu, Zhang model is used to study the behavior and properties of physical systems, such as the phase transitions in materials and the behavior of particles in quantum mechanics. It is also used in fields like thermodynamics and statistical mechanics to understand the relationship between energy, temperature, and entropy.

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