Transition from T⁻⁴ to T⁻¹ behavior of conductivity and violation of Matthiessen’s rule in p-type monolayer MoS2 from acoustic phonon scattering
Xiao-Qin Yu,^1,2,3 Qing-Lian Xu,² Zhen-Gang Zhu,^1,2,4,* and Gang Su ^2,4,5,†
1School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
²Theoretical Condensed Matter Physics and Computational Materials Physics Laboratory, College of Physical Sciences,
University of Chinese Academy of Sciences, Beijing 100049, China
³School of Physics and Electronics, Hunan University, Changsha 410082, China
⁴CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
⁵Kavli Institute of Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
(Received 25 July 2018; revised manuscript received 11 January 2019; published 4 February 2019)

The electrical transport of p-type monolayer MoS2 from acoustic phonon scattering at low temperature (T < 100 K) is theoretically analyzed. The formalism of conductivity is systemically derived through the standard Green’s functions technique (a full quantum-mechanical treatment) by taking into account the realistic band structure of MoS2. It is found that the main contribution to resistivity is from piezoelectric scattering in the transverse direction. Analogous to graphene, the conductivity exhibits a transition from σ ∼ T ⁻⁴ temperature dependence in the Bloch-Grüneisen temperature regime to weaker σ ∼ T ⁻¹ dependence at high temperature. It is remarkable that we observe the derivation of Matthiessen’s rule in the presence of both disorder scattering and phonon scattering due to the abrupt variation of phonon-induced transport scattering rates.