Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany.
School of Physics and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China.
Phys Rev Lett. 2019 Aug 9;123(6):066406. doi: 10.1103/PhysRevLett.123.066406.
We construct an exactly solvable quantum impurity model which consists of spin-1/2 conduction fermions and a spin-1/2 magnetic moment. The ground state is a Gutzwiller projected Fermi sea with nonorthonormal modes and its wave function in the site-occupation basis is a Jastrow-type homogeneous polynomial. The parent Hamiltonian has all-to-all inverse-square hopping terms between the conduction fermions and inverse-square spin-exchange terms between the conduction fermions and the magnetic moment. The low-lying energy levels, spin-spin correlation function, and von Neumann entanglement entropy of our model demonstrate that it exhibits the essential aspects of spin-1/2 Kondo physics. The machinery developed in this work can generate many other exactly solvable quantum impurity models.
我们构建了一个完全可解的量子杂质模型，该模型由自旋为 1/2 的传导电子和自旋为 1/2 的磁矩组成。基态是一个 Gutzwiller 投影的费米海，具有不正交模式，其在占据态基上的波函数是 Jastrow 型均匀多项式。母体哈密顿量具有传导电子之间的全同反平方跃迂项和传导电子与磁矩之间的反平方自旋交换项。我们模型的低能能级、自旋-自旋相关函数和 von Neumann 纠缠熵表明，它表现出了自旋为 1/2 的 Kondo 物理的基本方面。本工作中发展的方法可以生成许多其他完全可解的量子杂质模型。
