标题： 量子熔化将威格纳晶体变为霍尔液体 显示英文标题

标题： Quantum melting a Wigner crystal into Hall liquids

摘要： 最近的实验表明，出人意料的是，对威格纳晶体施加磁场可以引发量子霍尔效应。 在本工作中，使用变分蒙特卡罗方法，我们表明磁场可以将无磁场下的威格纳晶体熔化成整数量子霍尔液体。 这种熔化源于液体基态能量中的量子振荡，由于不可压缩性，在整数填充因子处会形成向下的尖峰。 我们的计算确定了发生这种量子熔化转变的密度范围。 显示英文摘要

摘要： Recent experiments have shown that, counterintuitively, applying a magnetic field to a Wigner crystal can induce quantum Hall effects. In this work, using variational Monte Carlo, we show that magnetic fields can melt zero-field Wigner crystals into integer quantum Hall liquids. This melting originates from quantum oscillations in the liquid's ground state energy, which develops downward cusps at integer filling factors due to incompressibility. Our calculations establish a range of densities in which this quantum melting transition occurs.