Quantum World-line Monte Carlo Method with Non-binary Loops and Its Application

Abstract

A quantum world-line Monte Carlo method for high-symmetrical quantum models is proposed. Firstly, based on a representation of a partition function using the Matsubara formula, the principle of quantum world-line Monte Carlo methods is briefly outlined and a new algorithm using non-binary loops is given for quantum models with high symmetry as SU(N). The algorithm is called non-binary loop algorithm because of non-binary loop updatings. Secondary, one example of our numerical studies using the non-binary loop updating is shown. It is the problem of the ground state of two-dimensional SU(N) anti-ferromagnets. Our numerical study confirms that the ground state in the small N <= 4 case is a magnetic ordered Neel state, but the one in the large N >= 5 case has no magnetic order, and it becomes a dimer state.

14 pages, 5 figures, Invited talk at the 18th Annual Workshop on Recent Developments of Computer Simulation Studies in Condensed Matter Physics, Athens, 7-11 March, 2005

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• Suppression of Spin Relaxation in Submicron InGaAs Wires
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Cited by in corpus (26)

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• Diffusive and precessional spin dynamics in a two-dimensional electron gas with disorder: a gauge theory view
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• Persistent Skyrmion Lattice of Noninteracting Electrons with Spin-Orbit Coupling
• Dimensional Dependence of Weak Localization Corrections and Spin Relaxation in Quantum Wires with Rashba Spin-Orbit Coupling
• Datta-Das type spin-field effect transistor in non-ballistic regime
• Spin relaxation and combined resonance in two-dimensional electron systems with spin-orbit disorder
• Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring
• Solution of the Lindblad equation for spin helix states
• High-harmonic generation in spin-orbit coupled systems
• Spin dynamics of cold fermions with synthetic spin-orbit coupling
• Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique
• Spin polarization in biased Rashba-Dresselhaus two-dimensional electron systems
• Zitterbewegung of electrons in quantum wells and dots in presence of an in-plane magnetic field
• Spin and charge transport in U-shaped one-dimensional channels with spin-orbit couplings
• Enhanced longevity of the spin helix in low-symmetry quantum wells
• Stability of flat zero-energy states at the dirty surface of a nodal superconductor
• Characteristics of persistent spin current components in a quasi-periodic Fibonacci ring with spin-orbit interactions: Prediction of spin-orbit coupling and on-site energy
• Nonequilibrium spin transport on Au(111) surfaces
• Strong anomalous proximity effect from spin-singlet superconductors
• Spin edge helices in a perpendicular magnetic field
• Understanding spin Hall effects from the motion in SU(2)XU(1) fields
• Understanding spin transport from the motion in SU(2)$\times$U(1) fields
• Connecting physics to systems with modular spin-circuits
• Rashba Spin Interferometer
• Spin-orbit coupling mediated tunable electron heat capacity of quantum wells