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Quantum Monte Carlo Methods: Algorithms for Lattice Models
Featuring detailed explanations of the major algorithms used in quantum Monte Carlo simulations, this is the first textbook of its kind to provide a pedagogical overview of the field and its
Quadrupolar order in isotropic Heisenberg models with biquadratic interaction
Through quantum Monte Carlo simulation, we study the biquadratic interaction model with the SU(2) symmetry in two and three dimensions The zero-temperature phase diagrams for the two cases are
Clues and criteria for designing a Kitaev spin liquid revealed by thermal and spin excitations of the honeycomb iridate Na 2 IrO 3
Contrary to the original expectation, ${\mathrm{Na}}_{2}{\mathrm{IrO}}_{3}$ is not a Kitaev's quantum spin liquid (QSL) but shows a zigzag-type antiferromagnetic order in experiments. Here, we
Strong-coupling expansion for the momentum distribution of the Bose-Hubbard model with benchmarking against exact numerical results
A strong-coupling expansion for the Green's functions, self-energies, and correlation functions of the Bose-Hubbard model is developed. We illustrate the general formalism, which includes all
Tensor renormalization group with randomized singular value decomposition.
An algorithm of the tensor renormalization group is proposed based on a randomized algorithm for singular value decomposition. Our algorithm is applicable to a broad range of two-dimensional
Phase Transition in Potts Model with Invisible States
We study phase transition in the ferromagnetic Potts model with invisible states that are added as redundant states by mean-field calculation and Monte Carlo simulation. Invisible states affect the
Scaling relation for dangerously irrelevant symmetry-breaking fields
We propose a scaling relation for critical phenomena in which a symmetry-breaking field is dangerously irrelevant. We confirm its validity on the six-state clock model in three and four dimensions by
Phase Transition of Generalized Ferromagnetic Potts Model- Effect of Invisible States -
We investigate the nature of the phase transition of the ferromagnetic Potts model with invisible states. The ferromagnetic Potts model with invisible states can be regarded as a straightforward
Magnetic-field-induced condensation of triplons in Han Purple pigment BaCuSi2O6.
In agreement with quantum Monte Carlo numerical simulations, a distinct lambda anomaly in the specific heat together with a maximum in the magnetic susceptibility upon cooling down to liquid helium temperatures is observed.
Dimensional reduction at a quantum critical point
Evidence is shown that the Bose–Einstein condensate of spin triplets in the three-dimensional Mott insulator BaCuSi2O6 provides an experimentally verifiable example of dimensional reduction at a QCP.