Anomalous Hall crystals have stiffness an order of magnitude smaller than Wigner crystals due to finite Chern number, triggering mechanical instability under deformations in rhombohedral pentalayer graphene models.
Impurity-induced thermal crossover in fractional Chern insulators
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abstract
The recent experimental observation of fractional quantum anomalous Hall (FQAH) states in rhombohedral multilayer graphene has attracted significant attention. One of the most intriguing observations is that the FQAH states at various fractional fillings give way to IQAH states as the temperature is lowered. In this work, we propose a mechanism for the appearance of FQAH states within a finite temperature range in a toy model. The model consists of a flat Chern band and impurities, and we analyze the effects of impurities on the system's behavior at finite temperatures. We believe that the crossover may arise from the competition between the energy penalty for thermal excitations and the increase in entropy. We support our theoretical argument with numerical calculations using exact diagonalization. Our results suggest that impurities may play a crucial role in the crossover from the FQAH to IQAH states in rhombohedral pentalayer graphene.
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UNVERDICTED 2representative citing papers
Impurities in a flat Chern band induce a thermal crossover from fractional to integer Chern insulators via entropy-energy competition, supported by exact diagonalization in a toy model.
citing papers explorer
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Elastic Response and Instabilities of Anomalous Hall Crystals
Anomalous Hall crystals have stiffness an order of magnitude smaller than Wigner crystals due to finite Chern number, triggering mechanical instability under deformations in rhombohedral pentalayer graphene models.
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Impurity-induced thermal crossover in fractional Chern insulators
Impurities in a flat Chern band induce a thermal crossover from fractional to integer Chern insulators via entropy-energy competition, supported by exact diagonalization in a toy model.