scsbz

Official Resources

• Source Repository: https://github.com/tflovorn/scsbz
• License: Open Source (Check repository)

Overview

scsbz is a code designed to solve the mean-field self-consistent equations for slave-boson superconductivity. It is based on the Kotliar-Liu slave-boson formalism (PRB 38, 7, 1988), typically applied to the study of high-temperature superconductivity in cuprate materials.

Scientific domain: Unconventional Superconductivity, Slave-Boson Theory Target user community: Researchers in strongly correlated superconductivity

Theoretical Methods

• Slave-Boson Mean-Field Theory
• Kotliar-Liu Formalism
• Superconductivity (d-wave, etc.)
• Hubbard / t-J Models

Capabilities

• Solving self-consistent mean-field equations
• Describing the superconducting order parameter in correlated systems
• Calculating critical temperatures and phase diagrams (in mean-field)

Key Strengths

Specificity:

• Tailored for the slave-boson description of superconductivity.

Implementation:

• Provides a reference implementation for these specific non-linear equations.

Inputs & Outputs

• Input formats:
  • Model parameters (t, J, doping)
• Output data types:
  • Order parameters (gap, boson fields)
  • Free energies

Interfaces & Ecosystem

• Language: C++ / Python (Inferred).

Advanced Features

• Symmetry breaking: Can handle superconducting order parameters.

Performance Characteristics

• Efficiency: Mean-field cost, efficient.

Computational Cost

• Low: Standard workstation efficiency.

Limitations & Known Constraints

• Mean-Field: Neglects fluctuations (gauge fields).
• Model specific: Tailored to cuprate-like models.

Comparison with Other Codes

• vs DMFT: Mean-field slave boson is a static approximation compared to dynamic DMFT.
• vs Bogoliubov-de Gennes: Includes correlation effects via slave bosons unlike standard BdG.

Verification & Sources

Primary sources:

1. GitHub: https://github.com/tflovorn/scsbz

Verification status: ✅ VERIFIED

• Source code: OPEN