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Dynamical Generation of Topological Masses in Dirac Fermions

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arxiv 1705.09192 v2 pith:YSC5KNQI submitted 2017-05-25 cond-mat.str-el

Yuan-Yao He , Xiao Yan Xu , Kai Sun , Fakher F. Assaad , Zi Yang Meng , Zhong-Yi Lu This is my paper
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abstract

We report discovery of a topological Mott insulator in strongly-correlated Dirac semimetals. Such an interaction-driven topological state has been theoretically proposed but not yet observed with unbiased large scale numerical simulations. In our model, interactions between electrons are mediated by Ising spins in a transverse field. The results indicate that the topological mass term is dynamically generated and the resulting quantum phase transition belongs to the (2+1)D $N=8$ chiral Ising universality class. These conclusions stem from large scale sign free quantum Monte Carlo simulations.

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  1. Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

    hep-th 2025-07 conditional novelty 7.0 of 10

    First five-loop renormalization group functions for the O(N) Gross-Neveu-Yukawa model, yielding refined, resummed critical exponent estimates for N=1, 2, and 5.

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