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Quantum Monte Carlo Methods: Algorithms for Lattice Models
- J. Gubernatis, N. Kawashima, P. Werner
- Physics
- 24 June 2016
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
- K. Harada, N. Kawashima
- Physics
- 24 September 2001
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
- Y. Yamaji, Takafumi J. Suzuki, Takuto Yamada, S. Suga, N. Kawashima, M. Imada
- Materials Science
- 21 January 2016
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
- J. Freericks, H. Krishnamurthy, Y. Kato, N. Kawashima, N. Trivedi
- Physics
- 19 February 2009
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.
- Satoshi Morita, R. Igarashi, Hui-Hai Zhao, N. Kawashima
- MathematicsPhysical review. E
- 5 December 2017
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
- R. Tamura, Shu Tanaka, N. Kawashima
- Physics
- 10 May 2010
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
- T. Okubo, Kosei Oshikawa, Hiroshi Watanabe, N. Kawashima
- Physics
- 7 November 2014
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 -
- Shu Tanaka, R. Tamura, N. Kawashima
- Physics
- 27 February 2011
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.
- M. Jaime, V. Correa, K. Uchinokura
- PhysicsPhysical review letters
- 14 April 2004
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Dimensional reduction at a quantum critical point
- S. Sebastian, N. Harrison, I. Fisher
- PhysicsNature
- 1 June 2006
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