Low-energy effective theory and two distinct critical phases in a spin-1/2 frustrated three-leg spin tube

Abstract

Motivated by the crystal structures of [(CuCl2tachH)3Cl]Cl2 and Ca3Co2O6, we develop a low-energy effective theory using the bosonization technique for a spin-1/2 frustrated three-leg spin tube with trigonal prism units in two limit cases. The features obtained with the effective theory are numerically elucidated by the density matrix renormalization group method. Three different quantum phases in the ground state of the system, say, one gapped dimerized phase and two distinct gapless phases, are identified, where the two gapless phases are found to have the conformal central charge c=1 and 3/2, respectively. Spin gaps, spin and dimer correlation functions, and the entanglement entropy are obtained. In particular, it is disclosed that the critical phase with c=3/2 is the consequence of spin frustrations, which might belong to the SU(2)k=2 Wess-Zumino-Witten-Novikov universality class, and is induced by the twist term in the bosonized Hamiltonian density.

5 pages, 6 figures

References in corpus (24)

• Entanglement Entropy and Quantum Field Theory
• Bosonization and Strongly Correlated Systems
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Incommensurate spin correlations in Heisenberg spin-1/2 zig-zag ladders
• The nature of the magnetic order in Ca3Co2O6
• Spin Bose-Metal phase in a spin-1/2 model with ring exchange on a two-leg triangular strip
• Magnetic characterization of the frustrated three-leg ladder compound [(CuCl2tachH)3Cl]Cl2
• Non-Abelian bosonization of the frustrated antiferromagnetic spin-1/2 chain
• Magnetic Properties of Zig-Zag Ladders
• Frustrated three-leg spin tubes: from spin 1/2 with chirality to spin 3/2
• Quantum phase transitions of the asymmetric three-leg spin tube
• Low-lying excitations of the three-leg spin tube using the density-matrix renormalization group method
• A numerical method for detecting incommensurate correlations in the Heisenberg zigzag ladder
• Vector chirality and inhomogeneous magnetization in frustrated spin tubes in high magnetic fields
• Soliton binding and low-lying singlets in frustrated odd-legged S=1/2 spin tubes
• Influence of an inter-chain coupling on spiral ground-state correlations in frustrated spin-1/2 J1-J2 Heisenberg chains
• Quantum spin nanotubes -- frustration, competing orders and criticalities
• Coexistence of vector chiral order and Tomonaga-Luttinger liquid in the frustrated three-leg spin tube in a magnetic field
• Magnetization plateau and incommensurate spin modulation in Ca3Co2O6
• Critical behaviour of a spin-tube model in a magnetic field
• N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
• Exact ground states with deconfined gapless excitations for the 3 leg spin-1/2 tube
• A Mechanism for Ferrimagnetism and Incommensurability in One-Dimensional Systems
• Basic properties of three-leg Heisenberg tube

Cited by in corpus (5)

• Spin frustration of a spin-1/2 Ising-Heisenberg three-leg tube as an indispensable ground for thermal entanglement
• Quasi-fractionalization of spin in a cluster-based Haldane state supported by chirality of a triangular spin tube
• Competing phases and critical behavior in three coupled spinless Luttinger liquids
• Long-range bipartite entanglement in XXZ spin chains with the exponential and power-law long-range interactions
• Novel dielectric anomalies due to spin-chains above and below Neel temperature in Ca3Co2O6