New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic field.
New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic field.
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用于时间反转对称性破缺系统的新随机方法：磁场中的二维费米子。
DOI：
10.1103/physrevlett.71.2777
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发表时间：
1993
影响因子：
8.6
通讯作者：
Richard M. Martin
中科院分区：
文献类型：
--
作者：
Gerardo Rodríguez Ortíz;D. Ceperley;Richard M. Martin
我们提出了一种能够处理时间反转不变性被显式打破的复厄米特哈密顿量的随机方法。我们确定了波函数的位相，证明了模方程可以用量子蒙特卡罗方法来求解。然后，对其相位的任何选择都提供了系统基态能量的变分上限。我们将固定相方法应用于具有广义周期边界条件的磁场作用下的二维电子气，研究了不可压缩的ν=1/m laughlin液体与wigner晶体之间的跃迁
We present a stochastic method able to deal with complex Hermitian Hamiltonians where time reversal invariance is broken explicitly. We fix the phase of the wave function and show that the equation for the modulus can be solved by quantum Monte Carlo techniques. Then, any choice for its phase provides a variational upper bound for the ground state energy of the system. We apply the fixed-phase method to the 2D electron gas in the presence of a magnetic field with generalised periodic boundary conditions, where we study the transition between an incompressible ν=1/m Laughlin liquid and a Wigner crystal