Temperature effect of the bound magnetopolaron on the bandgap in monolayer graphene

Effect of temperature on the first excited state splitting energy of the impurity magneto acoustic polaron in monolayer graphene

“…In other words, the presence of the external magnetic field is equivalent to introduce another confinement to the IMAP in monolayer graphene, which will lead to stronger interactions within the IMAP. Therefore, the FESSE will become larger as the MMFS increases, which coincides the change of the ground state energy level of the polaron in monolayer graphene versus the MMFS [36][37][38]. At the same time, we can also see from figure 1 that the FESSE is a decreasing function of the CIPS.…”

“…Therefore, the FESSE decreases as the CIPS increases, which is inconsistent with the change law of the energy level with the CIPS in Ref. [37]. It shows that the same external field parameters have different effects on the ground state and FES in monolayer graphene, due to its special crystal structure properties.…”

“…Under the coupling of electrons and acoustic phonons, Ding et al studied the properties of the excited state, ground state and its splitting energy levels of polarons in monolayer graphene [34][35][36]. Ma et al studied the ground state splitting energy of polarons in monolayer graphene influenced by the external fields [37]. Sun et al studied the ground state energy of polarons in monolayer graphene under the influence of a magnetic field [38].…”

“…Moreover, it is meaningful to predict and control the properties of polarons in the monolayer graphene at specific temperatures. The previously references, mentioned above, have obtained some meaningful results, however, the references [34,36] does not consider the effect of temperature on the energy level characteristics of monolayer graphene; the collective effects of temperature and impurity on the energy level characteristics of monolayer graphene don't be considered [35,38]; the reference [37] lacks the research on the properties of excited states in monolayer graphene.…”

Graphene-Substrate Effects on Characteristics of Weak-Coupling Bound Magnetopolaron

“…Additionally, they calculated the effect of polarons in MG on different substrates, thereby highlighting MG's sensitivity to its local environment. Other studies [22][23][24] have used Huybrechts' linear combination operator and Pekar's variational approach to study magnetopolarons in MG under strong interactions between electrons and surface acoustic (SA) phonons. Despite the high interest in this area, there have been few studies on the properties of weakly coupled polarons in MG.…”