Abstract

We show that chiral (nearly) flat band superconductivity can develop and host novel Majorana fermions at a time-reversal pair of symmetry-protected three-band crossing points. Based on symmetry analysis, mean-field study, and superfluid stiffness calculation, we determine and analyze the irreducible pairing channels with flat band pairings in the low-energy spin-$1$ fermion theory. Flat band pairing can enhance superconductivity dramatically, where the critical temperature scales linearly in the interaction strength. While fully gapped flat band pairing states develop in the single-component pairing channels, we find chiral $\bar p\pm i\bar p$ flat band superconductivity in the multicomponent pairing channels. Three-dimensional itinerant Majorana fermions arise at the bulk nodal points, whereas Majorana arcs appear on the surface.

Highlights

  • Chiral superconductivity has attracted much attention of modern condensed matter research in the past decades [1,2]

  • Our analysis focuses on the channels with flat band pairings, which raise the critical temperatures to the linear scaling of interest

  • We identify the irreducible pairing channels based on a symmetry analysis, study the flat band pairing states that can arise in these channels

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Summary

INTRODUCTION

Chiral superconductivity has attracted much attention of modern condensed matter research in the past decades [1,2]. The true critical temperature of superconductivity is determined by the stronger fluctuation Tc = min{Tcpair, Tcphase}, with the linear scaling Tc ∼ V generally manifested Such dramatic enhancement has motivated an intensive search for flat band superconductivity in practical materials. Various 2D systems have been studied including surfaces of gapless topological materials [22], strained graphene [23], and graphene moiré heterostructures [29,30] Motivated by these mainstreams of modern condensed matter research, we consider a platform where chiral superconductivity may develop on the 3D flat bands.

LOW-ENERGY THEORY
FLAT BAND SUPERCONDUCTIVITY
Irreducible pairing channels
Mean-field theory
Effective flat band theory
BdG theory
Anomalous phase coherence
Infinitesimal band curvature
Flat band pairing channels
CHIRAL SUPERCONDUCTIVITY
Chiral ground states
Bulk and surface Majorana fermions
DISCUSSION

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