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Phonon helicity induced by electronic Berry curvature in Dirac materials
Strongly Correlated Electrons · Submitted 6 Apr 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim By studying electron-phonon interactions in BaMnSb$_2$, a prototype two-dimensional Dirac material possessing two TR-related massive Dirac cones, we find that the nonzero local Berry curvature of electrons can induce a phonon angular momentum.
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The abstract, sentence by sentence
In two-dimensional insulators with time-reversal (TR) symmetry, a nonzero local Berry curvature of low-energy massive Dirac fermions can give rise to nontrivial spin and charge responses, even though the integral of the Berry curvature over all occupied states is zero. In this work, we present a new effect induced by the electronic Berry curvature. By studying electron-phonon interactions in BaMnSb$_2$, a prototype two-dimensional Dirac material possessing two TR-related massive Dirac cones, we find that the nonzero local Berry curvature of electrons can induce a phonon angular momentum. The direction of this phonon angular momentum is locked to the phonon propagation direction, and thus we refer it as "phonon helicity", in a way that is reminiscent of electron helicity in spin-orbit-coupled electronic systems. We discuss possible experimental probes of such phonon helicity.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In two-dimensional insulators with time-reversal (TR) symmetry, a nonzero local Berry curvature of low-energy massive Dirac fermions can give rise to nontrivial spin and charge responses, even though the integral of the Berry curvature over all occupied states is zero. | background 1.00 | 0.10 | 0.05 | asserted 0.59 |
| s1 | In this work, we present a new effect induced by the electronic Berry curvature. | contribution 0.99 | 0.74 | 0.09 | asserted 0.93 |
| s2 | By studying electron-phonon interactions in BaMnSb$_2$, a prototype two-dimensional Dirac material possessing two TR-related massive Dirac cones, we find that the nonzero local Berry curvature of electrons can induce a phonon angular momentum. | result 0.86 | 0.97 | 0.85 | asserted 1.00 |
| s3 | The direction of this phonon angular momentum is locked to the phonon propagation direction, and thus we refer it as "phonon helicity", in a way that is reminiscent of electron helicity in spin-orbit-coupled electronic systems. | interpretation 0.65 | 0.85 | 0.32 | asserted 1.00 |
| s4 | We discuss possible experimental probes of such phonon helicity. | future work 0.87 | 0.50 | 0.03 | unclear 0.44 |
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Original abstract
In two-dimensional insulators with time-reversal (TR) symmetry, a nonzero local Berry curvature of low-energy massive Dirac fermions can give rise to nontrivial spin and charge responses, even though the integral of the Berry curvature over all occupied states is zero. In this work, we present a new effect induced by the electronic Berry curvature. By studying electron-phonon interactions in BaMnSb$_2$, a prototype two-dimensional Dirac material possessing two TR-related massive Dirac cones, we find that the nonzero local Berry curvature of electrons can induce a phonon angular momentum. The direction of this phonon angular momentum is locked to the phonon propagation direction, and thus we refer it as "phonon helicity", in a way that is reminiscent of electron helicity in spin-orbit-coupled electronic systems. We discuss possible experimental probes of such phonon helicity.
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