Fermi-liquid ground state of interacting Dirac fermions in two dimensions
Fermi-liquid ground state of interacting Dirac fermions in two dimensions
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二维相互作用狄拉克费米子的费米液体基态
DOI：
10.1103/physrevb.99.125145
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发表时间：
2019
影响因子：
3.7
通讯作者：
Sorella Sandro
中科院分区：
文献类型：
--
作者：
Seki Kazuhiro;Otsuka Yuichi;Yunoki Seiji;Sorella Sandro
用无偏零温度辅助场量子蒙特卡罗方法分析了蜂窝晶格上二维Hubbard模型半填充态半金属相的性质。结果表明，表征零能单粒子激发相干性的无质量Dirac费米子在费米能级上的准粒子重量可以用长距离等时单粒子格林函数来计算。如果这个量在热力学极限下是有限的，关联的半金属相的低能单粒子激发可用费米液体型单粒子格林函数来描述。基于对包含10,000多个位置的有限大小团簇的空前大规模的数值模拟，我们发现在临界相互作用强度以下的半金属相中准粒子重量仍然是有限的。这也得到了费米液体的等时单粒子格林函数的长距离代数行为(，其中有距离)的支持。因此，我们的结果为二维关联金属中的费米-液体理论提供了数值验证。
An unbiased zero-temperature auxiliary-field quantum Monte Carlo method is employed to analyze the nature of the semimetallic phase of the two-dimensional Hubbard model on the honeycomb lattice at half filling. It is shown that the quasiparticle weightof the massless Dirac fermions at the Fermi level, which characterizes the coherence of zero-energy single-particle excitations, can be evaluated in terms of the long-distance equal-time single-particle Green's function. If this quantity remains finite in the thermodynamic limit, the low-energy single-particle excitations of the correlated semimetallic phase are described by a Fermi-liquid-type single-particle Green's function. Based on the unprecedentedly large-scale numerical simulations on finite-size clusters containing more than 10 000 sites, we show that the quasiparticle weight remains finite in the semimetallic phase below a critical interaction strength. This is also supported by the long-distance algebraic behavior (, whereis distance) of the equal-time single-particle Green's function that is expected for the Fermi liquid. Our result thus provides a numerical confirmation of Fermi-liquid theory in two-dimensional correlated metals.
影响因子：
56.9
作者：
Ho-Kin Tang;J. Leaw;J. N. Rodrigues;I. Herbut;P. Sengupta;P. Sengupta;F. Assaad;S. Adam;S. Adam
通讯作者：
Ho-Kin Tang;J. Leaw;J. N. Rodrigues;I. Herbut;P. Sengupta;P. Sengupta;F. Assaad;S. Adam;S. Adam
影响因子：
--
作者：
J. Jaklic;P. J. Institute;Ljubljana;Slovenia.;Faculty of Mathematics;Physics;U. Ljubljana
通讯作者：
J. Jaklic;P. J. Institute;Ljubljana;Slovenia.;Faculty of Mathematics;Physics;U. Ljubljana
影响因子：
64.8
作者：
Meng, Z. Y.;Lang, T. C.;Muramatsu, A.
通讯作者：
Muramatsu, A.