Ground state phase diagram of twisted three-leg spin tube in magnetic field

Abstract

We study the ground state phase diagram of the twisted three-leg spin tube in magnetic fields by the density matrix renormalization group (DMRG) method. The twisted spin tube is composed of triangular unit cells and possesses strong quantum fluctuations under geometrical frustration. We apply the sine square deformation method to remove the strong boundary effects and obtain smooth magnetization curves without steps of finite systems. With the analysis of the magnetization curves and correlation functions we determine the ground state phase diagram consisting of (a) a Tomonaga-Luttinger (TL) liquid characterized by spin-$\frac{3}{2}$ Heisenberg model, (b) 3-sublattice state named UUD with 1/3 magnetization and (c) TL-liquid of massless chirality with 1/3 magnetization plateau, (d) TL-liquid of massless spin mode with or without chirality quasi long-range order.

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Cited by in corpus (11)

• Spin frustration of a spin-1/2 Ising-Heisenberg three-leg tube as an indispensable ground for thermal entanglement
• Zero-energy states in conformal field theory with sine-square deformation
• Magnetic phase diagram of the breathing-kagome antiferromagnet Nd${}_3$BWO${}_9$
• Thermodynamic properties of the $S=1/2$ twisted triangular spin tube
• Resonating dimer-monomer liquid state in a magnetization plateau of a spin-$\frac{1}{2}$ kagome-strip Heisenberg chain
• Sine-square deformed mean-field theory
• Magnetic phase diagrams of the spin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain: Emergence of a Haldane phase
• Quasi-fractionalization of spin in a cluster-based Haldane state supported by chirality of a triangular spin tube
• Energy Scale Deformation on Regular Polyhedra
• Determination of ground states of one-dimensional quantum systems using the cluster iTEBD method
• Anomalies of kagome antiferromagnets on magnetization plateaus