Monte Carlo simulations of two-dimensional charged bosons
Monte Carlo simulations of two-dimensional charged bosons
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二维带电玻色子的蒙特卡罗模拟
DOI：
10.1103/physrevb.69.035109
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发表时间：
2003
影响因子：
3.7
通讯作者：
S. Moroni
中科院分区：
文献类型：
--
作者：
S. Palo;S. Conti;S. Moroni
量子蒙特卡罗方法被用来计算各种基态性质的带电玻色子在二维，在整个密度范围内的流体相是稳定的。维格纳结晶预测在${r}_{s}\ensuremath{\simeq}60。基态能量和动量分布的结果总结在解析插值公式体现已知的渐近行为。接近冻结时，冷凝物分数小于1%。静态结构因子$S（k）$和磁化率$\ensuremath{\chi}（k）$由虚时间中的密度-密度相关函数$F（\mathbf{k}，\ensuremath{\tau}）获得。$元激发的能量的估计，根据涉及$S（k）$和$\ensuremath{\chi}（k），$的上界给出，与通过解析延拓从$F（\mathbf{k}，\ensuremath{\tau}）获得的结果进行比较。
Quantum Monte Carlo methods are used to calculate various ground-state properties of charged bosons in two dimensions, throughout the whole density range where the fluid phase is stable. Wigner crystallization is predicted at ${r}_{s}\ensuremath{\simeq}60.$ Results for the ground-state energy and the momentum distribution are summarized in analytic interpolation formulas embodying known asymptotic behaviors. Near freezing, the condensate fraction is less than 1%. The static structure factor $S(k)$ and susceptibility $\ensuremath{\chi}(k)$ are obtained from the density-density correlation function in imaginary time, $F(\mathbf{k},\ensuremath{\tau}).$ An estimate of the energy of elementary excitations, given in terms of an upper bound involving $S(k)$ and $\ensuremath{\chi}(k),$ is compared with the result obtained via analytic continuation from $F(\mathbf{k},\ensuremath{\tau}).$