论文标题
Gutzwiller波函数的Mott过渡和电子激发
Mott transition and electronic excitation of the Gutzwiller wavefunction
论文作者
论文摘要
莫特过渡通常被认为是由于费米 - 液体理论中准粒子的有效质量的差异而产生的。费米水平周围的分散关系被认为是朝向莫特过渡的平坦的。在这里，为了澄清莫特（Mott）过渡的表征，假设是费米 - 液体般的基态，在$ t $ j $模型中，来自Gutzwiller波函数的电子添加激发在链条，梯子，方形和方形晶格和单层型lattice lattice lattice the the Single-Mode lattice in the Single-Mode antimation and Mode carlo car中进行了调查。数值结果表明，从零电子密度以零相互作用带从非相互作用带不连续变形的电子模式会失去其光谱量，并逐渐消失在Mott Transition上。它实际上表现出了Fermi动量在小型兴奋剂极限上转移的磁性分散关系，即使假设基态被认为是Fermi-like状态，即表现出Quasiparticle重量的逐渐消失，即使基态被认为是Fermi-like状态。这意味着，与其说是在常规单粒子图片中预期的有效质量或消失的差异，而是可以更好地理解Mott Transition，即冻结自由度的冻结自由度，而旋转自由度仍然保持活跃，即使地面状态就像Fermi液体一样。
The Mott transition is usually considered as resulting from the divergence of the effective mass of the quasiparticle in the Fermi-liquid theory; the dispersion relation around the Fermi level is considered to become flat towards the Mott transition. Here, to clarify the characterization of the Mott transition under the assumption of a Fermi-liquid-like ground state, the electron-addition excitation from the Gutzwiller wavefunction in the $t$-$J$ model is investigated on a chain, ladder, square lattice, and bilayer square lattice in the single-mode approximation using a Monte Carlo method. The numerical results demonstrate that an electronic mode that is continuously deformed from a non-interacting band at zero electron density loses its spectral weight and gradually disappears towards the Mott transition. It exhibits essentially the magnetic dispersion relation shifted by the Fermi momentum in the small-doping limit as indicated by recent studies for the Hubbard and $t$-$J$ models, even if the ground state is assumed to be a Fermi-liquid-like state exhibiting gradual disappearance of the quasiparticle weight. This implies that, rather than as the divergence of the effective mass or disappearance of the carrier density that is expected in conventional single-particle pictures, the Mott transition can be better understood as freezing of the charge degrees of freedom while the spin degrees of freedom remain active, even if the ground state is like a Fermi liquid.
