TY - JOUR
T1 - Dynamical piezomagnetic effect in time-reversal-invariant Weyl semimetals with axionic charge density waves
AU - Yu, Jiabin
AU - Wieder, Benjamin J.
AU - Liu, Chao Xing
N1 - Funding Information:
J.Y. and C.X.L thank Wladimir A. Benalcazar and Radu Roiban, B.J.W. thanks Barry Bradlyn, and all authors thank B. Andrei Bernevig for helpful discussions. The work done at Penn State, including most analytical derivation and numerical calculation, is primarily supported by the DOE grant (DE-SC0019064). B.J.W. acknowledges support from B. Andrei Bernevig through Department of Energy Grant No. DESC0016239, Simons Investigator Grant No. 404513), BSF Israel US Foundation Grant No. 2018226, ONR Grant No. N00014-20-1-2303, and the Gordon and Betty Moore Foundation through Grant No. GBMF8685 towards the Princeton theory program.
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/11/1
Y1 - 2021/11/1
N2 - Charge density waves (CDWs) in Weyl semimetals (WSMs) have been shown to induce an exotic axionic insulating phase in which the sliding mode (phason) of the CDW acts as a dynamical axion field, giving rise to a large positive magnetoconductance [Wang, Phys. Rev. B 87, 161107(R) (2013)PRBMDO1098-012110.1103/PhysRevB.87.161107; Roy, Phys. Rev. B 92, 125141 (2015)PRBMDO1098-012110.1103/PhysRevB.92.125141; J. Gooth, Nature (London) 575, 315 (2019)NATUAS0028-083610.1038/s41586-019-1630-4]. In this work, we predict that dynamical strain can induce a bulk orbital magnetization in time-reversal (TR)-invariant WSMs that are gapped by a CDW. We term this effect the "dynamical piezomagnetic effect"(DPME). Unlike in J. Gooth et al. [Nature (London) 575, 315 (2019)NATUAS0028-083610.1038/s41586-019-1630-4], the DPME introduced in this work occurs in a bulk-constant (i.e., static and spatially homogeneous in the bulk) CDW, and does not rely on fluctuations, such as a phason. By studying the low-energy effective theory and a minimal tight-binding (TB) model, we find that the DPME originates from an effective valley axion field that couples the electromagnetic gauge field with a strain-induced pseudogauge field. In particular, whereas the piezoelectric effects studied in previous works are characterized by 2D Berry curvature, the DPME represents the first example of a fundamentally 3D strain effect originating from the Chern-Simons 3-form. We further f
AB - Charge density waves (CDWs) in Weyl semimetals (WSMs) have been shown to induce an exotic axionic insulating phase in which the sliding mode (phason) of the CDW acts as a dynamical axion field, giving rise to a large positive magnetoconductance [Wang, Phys. Rev. B 87, 161107(R) (2013)PRBMDO1098-012110.1103/PhysRevB.87.161107; Roy, Phys. Rev. B 92, 125141 (2015)PRBMDO1098-012110.1103/PhysRevB.92.125141; J. Gooth, Nature (London) 575, 315 (2019)NATUAS0028-083610.1038/s41586-019-1630-4]. In this work, we predict that dynamical strain can induce a bulk orbital magnetization in time-reversal (TR)-invariant WSMs that are gapped by a CDW. We term this effect the "dynamical piezomagnetic effect"(DPME). Unlike in J. Gooth et al. [Nature (London) 575, 315 (2019)NATUAS0028-083610.1038/s41586-019-1630-4], the DPME introduced in this work occurs in a bulk-constant (i.e., static and spatially homogeneous in the bulk) CDW, and does not rely on fluctuations, such as a phason. By studying the low-energy effective theory and a minimal tight-binding (TB) model, we find that the DPME originates from an effective valley axion field that couples the electromagnetic gauge field with a strain-induced pseudogauge field. In particular, whereas the piezoelectric effects studied in previous works are characterized by 2D Berry curvature, the DPME represents the first example of a fundamentally 3D strain effect originating from the Chern-Simons 3-form. We further f
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U2 - 10.1103/PhysRevB.104.174406
DO - 10.1103/PhysRevB.104.174406
M3 - Article
AN - SCOPUS:85119101306
SN - 2469-9950
VL - 104
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 17
M1 - 174406
ER -