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Fermion-induced quantum critical points in two-dimensional Dirac semimetals

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Shao-Kai Jian, Hong Yao

Strongly Correlated Electrons · Submitted 24 Oct 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim From large-$N$ renormalization group (RG) analysis, we find that fermion-induced quantum critical points (FIQCPs) [Z.-X.

how it is stated · asserted 0.97 read the record →

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arXiv ID1610.07603 (version 2)
Pith IDNMPALNMG, Pith's permanent record of this paper and its review
CitationHong Yao, Shao-Kai Jian. "Fermion-induced quantum critical points in two-dimensional Dirac semimetals." arXiv:1610.07603 (2016). https://pith.science/paper/NMPALNMG
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,807 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.24 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.28 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

In this paper we investigate the nature of quantum phase transitions between two-dimensional Dirac semimetals and $Z_3$-ordered phases (e.g. Kekule valence-bond solid), where cubic terms of the order parameter are allowed in the quantum Landau-Ginzberg theory and the transitions are putatively first-order. From large-$N$ renormalization group (RG) analysis, we find that fermion-induced quantum critical points (FIQCPs) [Z.-X. Li et al., Nature Communications 8, 314 (2017)] occur when $N$ (the number of flavors of four-component Dirac fermions) is larger than a critical value $N_c$. Remarkably, from the knowledge of spacetime supersymmetry, we obtain an exact lower bound for $N_c$, i.e., $N_c>1/2$. (Here the "1/2" flavor of four-component Dirac fermions is equivalent to one flavor of four-component Majorana fermions). Moreover, we show that the emergence of two length scales is a typical phenomenon of FIQCPs and obtain two different critical exponents, i.e., $\nu$$\neq$$\nu'$, by large-$N$ RG calculations. We further give a brief discussion on possible experimental realizations of FIQCPs.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper we investigate the nature of quantum phase transitions between two-dimensional Dirac semimetals and $Z_3$-ordered phases (e.g. Kekule valence-bond solid), where cubic terms of the order parameter are allowed in the quantum Landau-Ginzberg theory and the transitions are putatively first-order. contribution 0.69 0.52 0.08 hedged possibility 0.77
s1 From large-$N$ renormalization group (RG) analysis, we find that fermion-induced quantum critical points (FIQCPs) [Z.-X. result 0.73 0.91 0.31 asserted 0.97
s2 Li et al., Nature Communications 8, 314 (2017)] occur when $N$ (the number of flavors of four-component Dirac fermions) is larger than a critical value $N_c$. result 0.96 0.73 0.29 asserted 1.00
s3 Remarkably, from the knowledge of spacetime supersymmetry, we obtain an exact lower bound for $N_c$, i.e., $N_c>1/2$. result 0.99 0.90 0.24 asserted 1.00
s4 (Here the "1/2" flavor of four-component Dirac fermions is equivalent to one flavor of four-component Majorana fermions). interpretation 0.91 0.38 0.06 asserted 0.98
s5 Moreover, we show that the emergence of two length scales is a typical phenomenon of FIQCPs and obtain two different critical exponents, i.e., $\nu$$\neq$$\nu'$, by large-$N$ RG calculations. result 1.00 0.96 0.22 asserted 1.00
s6 We further give a brief discussion on possible experimental realizations of FIQCPs. future work 0.62 0.75 0.04 hedged possibility 0.80

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this paper we investigate the nature of quantum phase transitions between two-dimensional Dirac semimetals and $Z_3$-ordered phases (e.g. Kekule valence-bond solid), where cubic terms of the order parameter are allowed in the quantum Landau-Ginzberg theory and the transitions are putatively first-order. From large-$N$ renormalization group (RG) analysis, we find that fermion-induced quantum critical points (FIQCPs) [Z.-X. Li et al., Nature Communications 8, 314 (2017)] occur when $N$ (the number of flavors of four-component Dirac fermions) is larger than a critical value $N_c$. Remarkably, from the knowledge of spacetime supersymmetry, we obtain an exact lower bound for $N_c$, i.e., $N_c>1/2$. (Here the "1/2" flavor of four-component Dirac fermions is equivalent to one flavor of four-component Majorana fermions). Moreover, we show that the emergence of two length scales is a typical phenomenon of FIQCPs and obtain two different critical exponents, i.e., $\nu$$\neq$$\nu'$, by large-$N$ RG calculations. We further give a brief discussion on possible experimental realizations of FIQCPs.

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5 arXiv papers cite this in 9 sentences

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Papers citing it · 6 sentences without a confident label

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Cites it as background 2 papers
  • Recently, based on the 2D and 3D semimetal, the fermion-boson mixed system was proposed to describe the Landau-forbidden quantum phase transition, which gives rise to Fermion-induced quantum critical points(FIQCP) [ref] and fluctuation-induced continuous phase transition with hidden degrees of freedom [ref] .

    Duality of deconfined quantum critical point in two dimensional Dirac semimetals · Introduction · 0.81

  • This category of QCP always occurs in the interacting systems with Dirac and Weyl excitations [ref] , such as graphene superconducting criticality [ref] , emergent supersymmetric criticality on the surface of three-dimensional (3D) topological insulators [ref] , fermion-induced quantum criticality in Weyl or Dirac semimetals [ref] .

    Critical behavior of QED$_3$--Gross-Neveu-Yukawa Theory in an Arbitrary Gauge · Introduction · 0.90

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