Invariant Expansion of Monolayer MoS$_2$ electron states at the $K$ point

ORAL

Abstract

Using group theory, we derive the invariant expansion for the Hamiltonian of the electron states at the $K$ points of monolayer Molybdenum Disulfide (MoS$_2$), a transition metal dichalcogenide (TMDC). Unlike monolayers of graphite known as graphene, TMDCs provide a wider variety of physical phenomena due to the strong spin-orbit coupling attributed to the higher atomic number of the metal atoms. Our results also include the effects of external electric and magnetic fields. The low-order terms in the derived Hamiltonian are consistent with previous studies on the same material.

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Authors

  • Edward Aris Diaz Fajardo

    Northern Illinois University

  • Swapan Chattopadhyay

    Gravitational Astrophysics Lab, NASA Goddard Space Flight Center, Northern Illinois University and Argonne National Laboratory, Northern Illinois University, None, Monmouth College, IL, University of California Santa Cruz, Southern Illinois University Carbondale, Argonne National Laboratory, University of Iowa, Sinop University, Bingol University, Univ of Northern Iowa, University of California, Riverside, University of Northern Iowa, University of Wisconsin, Fairfield University, North Central College