TY - JOUR

T1 - Resistivity of Non-Galilean-Invariant Two-Dimensional Dirac Systems

AU - Kovalev, V. m.

AU - Entin, M. v.

AU - Kvon, Z. d.

AU - Levin, A. d.

AU - Chitta, V. a.

AU - Gusev, G. m.

AU - Mikhailov, N. n.

N1 - We acknowledge the financial support for this work provided by Sao Paulo Research Foundation Grant No. 2019/16736-2 and No. 2021/12470-8, the National Council for Scientific and Technological Development, Ministry of Science and Higher Education of the Russian Federation, and Foundation for the Advancement of Theoretical Physics and Mathematics \u201CBASIS.\u201D The HgTe quantum wells growth and preliminary transport measurements are supported by Russian Science Foundation (Grant No. 23-72-30003).

PY - 2025/5/15

Y1 - 2025/5/15

N2 - We revisited the influence of electron-electron scattering on the resistivity of a two-dimensional system with a linear spectrum. In conventional systems with a parabolic spectrum, where umklapp scattering is either prohibited or ineffective due to the small Fermi surface, particle-particle scattering does not contribute to conductivity because it does not change the total momentum. However, within the framework of the Boltzmann kinetic model, we demonstrate that electron-electron scattering in Dirac systems can significantly contribute to conductivity, producing distinct temperature-dependent corrections: a 푇4 behavior at low temperatures and a 푇2 dependence at moderate temperatures. While the predicted 푇4 scaling is not observed experimentally—likely suppressed by dominant weak localization effects—the 푇2 scaling is clearly confirmed in our measurements. Specifically, temperature-dependent resistivity data from a gapless single-valley HgTe quantum well exhibit 푇2 corrections, which align well with theoretical predictions. Thus, we challenge the paradigm that the 푇2 term in resistivity is absent in single-band 2D metals.

AB - We revisited the influence of electron-electron scattering on the resistivity of a two-dimensional system with a linear spectrum. In conventional systems with a parabolic spectrum, where umklapp scattering is either prohibited or ineffective due to the small Fermi surface, particle-particle scattering does not contribute to conductivity because it does not change the total momentum. However, within the framework of the Boltzmann kinetic model, we demonstrate that electron-electron scattering in Dirac systems can significantly contribute to conductivity, producing distinct temperature-dependent corrections: a 푇4 behavior at low temperatures and a 푇2 dependence at moderate temperatures. While the predicted 푇4 scaling is not observed experimentally—likely suppressed by dominant weak localization effects—the 푇2 scaling is clearly confirmed in our measurements. Specifically, temperature-dependent resistivity data from a gapless single-valley HgTe quantum well exhibit 푇2 corrections, which align well with theoretical predictions. Thus, we challenge the paradigm that the 푇2 term in resistivity is absent in single-band 2D metals.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105005325513&origin=inward&txGid=e359674a65a79d9b879e774b22ebc76c

U2 - 10.1103/PhysRevLett.134.196303

DO - 10.1103/PhysRevLett.134.196303

M3 - Article

VL - 134

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 19

M1 - 196303

ER -