Science - 6 December 2019

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INSIGHTS | LETTERS

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    10.1126/science.aaz9244

TECHNICAL COMMENT ABSTRACTS

Comment on “The role of electron-electron

interactions in two-dimensional Dirac fermions”

S. Hesselmann, T. C. Lang, M. Schuler, S. Wessel,

A. M. Läuchli

Tang et al. (Research Articles, 10 August

2018, p. 570) report on the properties of Dirac

fermions with both on-site and Coulomb

interactions. The substantial decrease, up to

~40%, of the Fermi velocity of Dirac fermions

with on-site interaction is inconsistent with

the numerical data near the Gross-Neveu

quantum critical point. This results from an

inappropriate finite-size extrapolation.

Full text: dx.doi.org/10.1126/science.aav6869

Response to Comment on “The role of electron-

electron interactions in two-dimensional

Dirac fermions”

Ho-Kin Tang, J. N. Leaw, J. N. B. Rodrigues,

I. F. Herbut, P. Sengupta, F. F. Assaad, S. Adam

Hesselmann et al. question one of our con-

clusions: the suppression of Fermi velocity

at the Gross-Neveu critical point for the

specific case of vanishing long-range inter-

actions and at zero energy. The possibility

they raise could occur in any finite-size

extrapolation of numerical data. Although

we cannot definitively rule out this possibil-

ity, we provide mathematical bounds on

its likelihood.

Full text: dx.doi.org/10.1126/science.aav8877

EDITOR’S NOTE

“Joint statement on EPA proposed rule and public

availability of data (2019)” by H. Thorp, M. Skipper, V.

Kiermer, M. Berenbaum, D. Sweet, R. Horton, Science

366 , eaba3197 (2019). Published online 6 December

2019 (First Release 26 November 2019); 10.1126/

science.aba3197

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