Department of Physics, University of California, Davis, California 95616, USA.
Instituto de Física, Universidade Federal do Rio de Janeiro Cx.P. 68.528, 21941-972 Rio de Janeiro RJ, Brazil.
Phys Rev Lett. 2019 Feb 22;122(7):077602. doi: 10.1103/PhysRevLett.122.077602.
The effect of electron-electron interactions on Dirac fermions, and the possibility of an intervening spin-liquid phase between the semimetal and antiferromagnetic (AF) regimes, has been a focus of intense quantum simulation effort over the last five years. We use determinant quantum Monte Carlo simulations to study the Holstein model on a honeycomb lattice and explore the role of electron- phonon interactions on Dirac fermions. We show that they give rise to charge-density-wave (CDW) order and present evidence that this occurs only above a finite critical interaction strength. We evaluate the temperature for the transition into the CDW which, unlike the AF transition, can occur at finite values owing to the discrete nature of the broken symmetry.
在过去的五年中，电子-电子相互作用对狄拉克费米子的影响，以及在半导体和反铁磁（AF）态之间存在中间的自旋液体相的可能性，一直是量子模拟研究的焦点。我们使用行列式量子蒙特卡罗模拟来研究蜂窝状晶格上的 Holstein 模型，并探索电子-声子相互作用对狄拉克费米子的作用。我们表明，它们导致电荷密度波（CDW）有序，并提供了证据表明，只有在有限的临界相互作用强度以上才会发生这种情况。我们评估了进入 CDW 的转变温度，与 AF 转变不同，由于对称性的离散性质，这个温度可以在有限值处发生。
