This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

Monte Carlo simulations have become an established and useful method for treating
problems in classical statistical physics. Although the first attempts to apply these ideas to …

The continued development of computational approaches to many-body ground-state
problems in physics and chemistry calls for a consistent way to assess its overall progress …

The effective Hamiltonian of strongly correlated electrons on a square lattice is replaced by a
renormalised Hamiltonian and the factors that renormalise the kinetic energy of holes and …

A theoretical review is given on high temperature superconductivity in copper oxides
(cuprates) by focusing on the hole do** cases based on the view that it is realized in …

This textbook introduces modern techniques based on computer simulation to study
materials science. It starts from first principles calculations enabling to calculate the physical …

A variational Monte—Carlo method, which is a combination of the variational theory and the
Monte-Carlo technique is proposed to study the Hubbard model with the Gutzwiller's wave …

Transcorrelated methods provide an efficient way of partially transferring the description of
electronic correlations from the ground-state wave function directly into the underlying …

A Monte Carlo method is used to calculate various properties of one-band Gutzwiller wave
functions which are formed by restricting the charge fluctuations in noninteracting wave …

We discuss variational approaches to the one band Hamiltonian in the projected subspace.
This Hamiltonian has a kinetic energy term for charge degree of freedom and nearest …