toolbox/makesig

Introduction

To calculate real physical quantities, such as the optical conductivity, Seebeck coefficient, thermopower, etc., the self-energy function on the real axis is an essential input. With the Pade approximation[1], we can convert the self-energy function from the Matsubara frequency to real frequency axis. We implemented the Pade approximation for $\Sigma(i\omega_n)$ in the HIBISCUS component.

The makesig code is often used to transform self-energy functions from Matsubara frequency representation to real frequency representation via the Pade approximation. The results are very sensitive to the data noises in the self-energy function. So we do not recommend to use this code to perform analytical continuation for the self-energy function. However, the HIBISCUS/swing code may be a better choice.

Usage

$ ./msig

Input

  • See the terminal prompt
  • solver.sgm.dat (necessary)

Output

  • sig.sgm.dat

Comment

N/A

  • 1H. Vidberg and J. Serene, J. Low Temp. Phys. 29, 179 (1977).