Rich many-body phase diagram of electrons and holes in doped monolayer transition metal dichalcogenides

Abstract

We use a variational technique to study the many-body phase diagram of electrons and holes in $n$-doped and $p$-doped monolayer transition metal dichalcogenides (TMDs). We find a total of four different phases. $i$) A fully spin polarized and valley polarized ferromagnetic state. $ii$) A state with no global spin polarization but with spin polarization in each valley separately, i.e. spin-valley locking. $iii$) A state with spin polarization in one of the valleys and little to no spin polarization in the other valley. $iv$) A paramagnetic state with no valley polarization. These phases are separated by first-order phase transitions and are determined by the particle density and the dielectric constant of the substrate. We find that in the presence of a perpendicular magnetic field the four different phases persist. In the case of $n$-doped MoS${}_2$, a fifth phase, which is completely valley polarized but not spin polarized, appears for magnetic fields larger than 7 T and for magnetic fields larger than 23 T completely replaces the second phase.

8 pages, 4 figures, 1 table

References in corpus (3)

• Electric Field Effect in Atomically Thin Carbon Films
• Valley polarization in MoS2 monolayers by optical pumping
• Wigner crystallization in transition metal dichalcogenides: A new approach to correlation energy

Cited by in corpus (8)

• First-order magnetic phase-transition of mobile electrons in monolayer MoS${}_2$
• Spontaneous valley polarization of interacting carriers in a monolayer semiconductor
• Many-body exciton and inter-valley correlations in heavily electron-doped WSe${}_2$ monolayers
• Exchange Intervalley Scattering And Magnetic Phase Diagram Of Transition Metal Dichalcogenide Monolayers
• Valley-Filling Instability and Critical Magnetic Field for Interaction-Enhanced Zeeman Response in Doped WSe${}_2$ Monolayers
• Magnetic phase transitions in two-dimensional two-valley semiconductors with in-plane magnetic field
• Interacting holes in a gated WSe${}_2$ quantum channel: valley correlations and zigzag Wigner crystal
• Strong intervalley correlation induced a magnetic order transition in monolayer ${\text{MoS}}_2$