# A minimal tight-binding model for the quasi-one-dimensional superconductor K2Cr3As3

## TL;DR

This paper develops a minimal five-band tight-binding model for the quasi-one-dimensional superconductor K2Cr3As3, accurately reproducing its electronic structure and enabling further studies of its properties.

## Contribution

The authors derive a simplified analytical tight-binding model based on DFT calculations, capturing the essential electronic features of K2Cr3As3 with minimal parameters.

## Key findings

- Accurately reproduces DFT band structure around Fermi level
- Includes explicit analytical expressions for hopping parameters
- Provides a foundation for studying superconductivity and transport

## Abstract

We present a systematic derivation of a minimal five-band tight-binding model for the description of the electronic structure of the recently discovered quasi one-dimensional superconductor K2Cr3As3. Taking as a reference the density-functional theory (DFT) calculation, we use the outcome of a Lowdin procedure to refine a Wannier projection and fully exploit the predominant weight at the Fermi level of the states having the same symmetry of the crystal structure. Such states are described in terms of five atomic-like d orbitals: four planar orbitals, two dxy and two dx2-y2, and a single out-of-plane one, dz2 . We show that this minimal model reproduces with great accuracy the DFT band structure in a broad energy window around the Fermi energy. Moreover, we derive an explicit simplified analytical expression of such model, which includes three nearest-neighbor hopping terms along the z direction and one nearest-neighbor term within the xy plane. This model captures very efficiently the energy spectrum of the system and, consequently, can be used to study transport properties, superconductivity and dynamical effects in this novel class of superconductors.