Antiferromagnetic character of the quantum phase transition in the Hubbard model on the honeycomb lattice

被引：10

作者：

Ostmeyer, Johann ^{[1
]}

Berkowitz, Evan ^{[2
,3
]}

Krieg, Stefan ^{[1
,3
,4
,5
]}

Laehde, Timo A. ^{[3
,6
]}

Luu, Thomas ^{[1
,3
,6
]}

Urbach, Carsten ^{[1
]}

机构：

[1] Rheinische Friedrich Wilhelms Univ Bonn, Helmholtz Inst Strahlen & Kernphys, D-53115 Bonn, Germany

[2] Univ Maryland, Maryland Ctr Fundamental Phys, College Pk, MD 20742 USA

[3] Forschungszentrum Julich, Inst Adv Simulat, D-54245 Julich, Germany

[4] Forschungszentrum Julich, JARA, D-54245 Julich, Germany

[5] Forschungszentrum Julich, Julich Supercomp Ctr, D-54245 Julich, Germany

[6] Forschungszentrum Julich, Inst Kernphys, D-54245 Julich, Germany

来源：

PHYSICAL REVIEW B | 2021年 / 104卷 / 15期

关键词：

This work was funded; in part; through financial support from the Deutsche Forschungsgemeinschaft (DFG; German Research Foundation) through the funds provided to the Sino-German Collaborative Research Center TRR110 Symmetries and the Emergence of Structure in QCD (DFG Project-ID 196253076 - TRR 110). E.B. is supported by the U.S. Department of Energy under Contract No. DE-FG02-93ER-40762. The authors gratefully acknowledge the computing time granted through JARA-HPC on the supercomputer JURECA at Forschungszentrum Jülich. We also gratefully acknowledge time on DEEP; an experimental modular supercomputer at the Jülich Supercomputing Centre. The analysis was mostly done in R using hadron . We are indebted to Bartosz Kostrzewa for helping us detect a compiler bug and for lending us his expertise on HPC hardware;

D O I：

10.1103/PhysRevB.104.155142

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We provide a unified, comprehensive treatment of all operators that contribute to the antiferromagnetic, ferromagnetic, and charge-density-wave structure factors and order parameters of the hexagonal Hubbard Model. We use the Hybrid Monte Carlo algorithm to perform a systematic, carefully controlled analysis in the temporal Trotter error and of the thermodynamic limit. We expect our findings to improve the consistency of Monte Carlo determinations of critical exponents. We perform a data collapse analysis and determine the critical exponent beta = 0.898(37) for the semimetal-Mott insulator transition in the hexagonal Hubbard Model. Our methods are applicable to a wide range of lattice theories of strongly correlated electrons.

引用

页数：9

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