Twist Boundary Conditions of Quantum Spin Chains near the Gaussian Fixed Points

Abstract

Duality transformation, which relates a high-temperature phase to a low-temperature one, is used exactly to determine the critical point for several models (2D Ising, Potts, Ashkin-Teller, 8-vertex), as the self dual condition. By changing boundary condition, numerically we can determine the self-dual(critical) point of the Ashkin-Teller(or Gaussian) model. This is the first explicit application of the duality to the numerical calculation, with the use of boundary conditions.

9 pages, Latex, 2 figures on request, TITCMT-96-7

References in corpus (2)

• Phase Diagram of $S=1$ Bond-Alternating XXZ chains
• Adiabatic Ground-State Properties of Spin Chains with Twisted Boundary Conditions

Cited by in corpus (59)

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• Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
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• Haldane, Large-D and Intermediate-D States in an S=2 Quantum Spin Chain with On-Site and XXZ Anisotropies
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• Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated Heisenberg Chains
• Investigation of Quantum Phase Transitions using Multi-target DMRG Methods
• Parity quantum numbers in the Density Matrix Renormalization Group
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• Magnetization-plateau state of the S=3/2 spin chain with single ion anisotropy
• Frustration Induced Quantum Phases in Mixed Spin Chain with Frustrated Side Chains
• Non-local scaling operators with entanglement renormalization
• Phase Diagrams of S=3/2, 2 XXZ Spin Chains with Bond-Alternation
• Dimerizations in spin-$S$ antiferromagnetic chains with three-spin interaction
• Breakdown of the magnetization plateau of the S=1/2 ferromagnetic-ferromagnetic-antiferromagnetic trimerized spin chain with anisotropy
• Bifurcation at the c=3/2 Takhtajan-Babujian point to the c=1 critical lines
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• How to distinguish the Haldane/Large-D state and the intermediate-D state in an S=2 quantum spin chain with the XXZ and on-site anisotropies
• Berezinskii-Kosterlitz-Thouless Transition of Spin-1 XXZ Chains in a Staggered Magnetic Field
• Exotic Ground State Phases of $S=1/2$ Heisenberg $\Delta$-Chain with Ferromagnetic Main Chain
• Tangential finite-size scaling of the Gaussian topological transition in the quantum spin-1 anisotropic chain
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• Rapidly-converging methods for the location of quantum critical points from finite-size data
• Entanglement properties of the Haldane phases: A finite system-size approach
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• Characterization of topological insulators based on the electronic polarization with spiral boundary conditions
• Link between the hierarchy of fractional quantum Hall states and Haldane's conjecture for quantum spin chains
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• Ground-State Phase Diagram of the Bond-Alternating $S=2$ Quantum Spin Chain with the $XXZ$ and On-Site Anisotropies -- Symmetry Protected Topological Phase versus Trivial Phase
• Edge Modes in the Intermediate-D and Large-D Phases of the S=2 Quantum Spin Chain with XXZ and On-Site Anisotropies
• Theory of Fractionally-magnetized Quantum Ferromagnet
• Frustrated S=1/2 Two-Leg Ladder with Different Leg Interactions
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation
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• Re-Entrant Quantum Phase Transitions in Antiferromagnetic Spin-1 Ladders
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• A multicritical point of $S=1$ XXZ chain with single ion anisotropy
• Gapless points of dimerized quantum spin chains: analytical and numerical studies
• Effect of monomer-monomer interactions on the phase diagrams of the S=1/2 distorted diamond type quantum spin chain
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• Magnetization Plateau of the Distorted Diamond Spin Chain
• Finite-Field Ground State of the S=1 Antiferromagnetic-Ferromagnetic Bond-Alternating Chain
• S=2 Quantum Spin Chain with the Biquadratic Exchange Interaction
• Ground-State Phase Diagram of an Anisotropic S=1 Ferromagnetic-Antiferromagnetic Bond-Alternating Chain
• A new method to calculate a 2d ising universality transition point : application near the ashkin-teller multicritical point