DC conductance in the presence of a time-dependent electric field

In summary, the conversation discusses the calculation of DC conductance in a two-dimensional electron system (2DES) with a time-dependent electric field using the Boltzmann equation. The speaker is interested in verifying the results numerically and mentions the possibility of using a recursive Green's function approach, typically used for time-independent Hamiltonians, to compute the S-matrix and conductance. They then inquire about alternative computational techniques, considering the potential computational expense of solving the time-dependent Schrödinger equation at each timestep.
  • #1
jpr0
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I calculated the DC conductance of a 2DES in the presence of a time-dependent (periodic) electric field using the Boltzmann equation some time ago, and I'd like to verify the results numerically.

Ideally I'd like to perform a computation along the lines of a recursive Green's function approach for time independent Hamiltonians (i.e. computing the S-matrix between 2 contacts contacting some scattering region using the Fisher-Lee relation, and relating that to the conductance).

Is there a computational technique similar to the recursive Green's function approach to calculate the conductance of a system in the presence of a time-dependent (and periodic in time) electric potential?
 
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  • #2
One approach could be to solve the time dependent Schrödinger equation at each timestep and then use the S-matrix approach to calculate the conductance. However, this approach is likely to be computationally expensive and I'm wondering if there are better alternatives?
 

1. What is DC conductance in the presence of a time-dependent electric field?

DC conductance in the presence of a time-dependent electric field refers to the flow of electric current in a material that is subject to a changing electric field over time. It is a measure of how easily charges can move through a material in the presence of an alternating electric field.

2. How is DC conductance affected by a time-dependent electric field?

The conductance of a material is directly affected by the strength and frequency of the time-dependent electric field. As the electric field changes, it causes the charges in the material to move, resulting in a flow of electric current. The magnitude of this current is determined by the conductance of the material.

3. What factors influence the DC conductance in the presence of a time-dependent electric field?

The DC conductance in the presence of a time-dependent electric field is influenced by several factors including the properties of the material, such as its conductivity and resistivity, the strength and frequency of the electric field, and the geometry of the material. Additionally, the temperature and the presence of impurities in the material can also affect the conductance.

4. How is DC conductance different from AC conductance?

DC conductance refers to the flow of electric current in the presence of a constant or time-independent electric field. On the other hand, AC conductance refers to the flow of electric current in the presence of a time-varying electric field, such as an alternating current. While DC conductance is influenced by the properties of the material, AC conductance is also affected by the frequency of the electric field.

5. What are some practical applications of studying DC conductance in the presence of a time-dependent electric field?

Studying DC conductance in the presence of a time-dependent electric field has many practical applications, such as in the design and optimization of electronic devices, understanding the behavior of materials under different electric fields, and developing new technologies such as sensors and solar cells that rely on the flow of electric current. Additionally, this knowledge is essential in fields such as electronics, nanotechnology, and renewable energy research.

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