Quantum spin nanotubes -- frustration, competing orders and criticalities
arXiv:1007.5102 · doi:10.1088/0953-8984/22/40/403201
Abstract
Recent developments of theoretical studies on spin nanotubes are reviewed, especially focusing on the three-leg spin tube. In contrast to the three-leg spin ladder, the tube has a spin gap in case of the regular-triangle unit cellwhen the rung interaction is sufficiently large. The effective theory based on the Hubbard Hamiltonian indicates a quantum phase transition to the gapless spin liquid due to the lattice distortion to an isosceles triangle. This is also supported by the numerical diagonalization and the density matrix renormalization group analyses. Furthermore, combining analytical and numerical approaches, we reveal several novel magnetic-field-induced phenomena: Néel, dimer, chiral and/or inhomogeneous orders, new mechanism for the magnetization plateau formation,and others. The recently synthesized spin tube materials are also briefly introduced.
Published in JPCM as a topical review, 24 pages, 11 figures
References in corpus (32)
- Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
- Weak Coupling Phase Diagram of the Two Chain Hubbard Model
- Magnetization Plateaux in N-Leg Spin Ladders
- The N-chain Hubbard Model in Weak Coupling
- Magnetization plateaux and jumps in a class of frustrated ladders: A simple route to a complex behaviour
- An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain
- Three-leg Antiferromagnetic Heisenberg Ladder with Frustrated Boundary Condition; Ground State Properties
- Critical properties of the double-frequency sine-Gordon model with applications
- Magnetic characterization of the frustrated three-leg ladder compound [(CuCl2tachH)3Cl]Cl2
- The anisotropic Heisenberg model in a transverse magnetic field
- Gap generation in the XXZ model in a transverse magnetic field
- Frustrated three-leg spin tubes: from spin 1/2 with chirality to spin 3/2
- Nonperturbative study of the two-frequency sine-Gordon model
- 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
- Heat capacity uncovers physics of a frustrated spin tube
- Soliton binding and low-lying singlets in frustrated odd-legged S=1/2 spin tubes
- Vector chirality and inhomogeneous magnetization in frustrated spin tubes in high magnetic fields
- The anisotropic Heisenberg chain in coexisting transverse and longitudinal magnetic fields
- Renormalization-Group Approach to a Three-Legs Fermionic Ladder
- Successive opening of the Fermi surface in doped N-leg Hubbard ladders
- Luttinger liquid behavior in spin chains with a magnetic field
- Correlation functions in the three-chain Hubbard ladder
- Quantum Fluctuation-Induced Phase Transition in S=1/2 XY-like Heisenberg Antiferromagnets on the Triangular Lattice
- Coexistence of vector chiral order and Tomonaga-Luttinger liquid in the frustrated three-leg spin tube in a magnetic field
- The spin-1/2 anisotropic Heisenberg-chain in longitudinal and transversal magnetic fields: a DMRG study
- Haldane-gap chains in a magnetic field
- N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
- Level Spectroscopy: Physical Meaning and Application to the Magnetization Plateau Problems
- Pairing correlation in the two- and three-leg Hubbard ladders --- Renormalization and quantum Monte Carlo studies
- Magnon bands of N-leg integer-spin antiferromagnetic systems in the weak interchain-coupling regime
- Quantum phase transitions of spin chiral nanotubes
Cited by in corpus (20)
- Reduced Dimensionality and Magnetic Frustration in KCrAs
- Spin-Chirality Separation and S_3-Symmetry Breakings in the Magnetization Plateau of the Quantum Spin Tube
- Magnetic phase diagram of the coupled triangular spin tubes for CsCrF4
- Series Expansion Analysis of a Frustrated Four-Spin-Tube
- Localized states on triangular traps and low-temperature properties of the antiferromagnetic Heisenberg and repulsive Hubbard models
- Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets
- Determination of Tomonaga-Luttinger parameters for a two-component liquid
- Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
- Thermodynamic properties of the twisted triangular spin tube
- Quantum phases of a frustrated four-leg spin tube
- Exact ground states with deconfined gapless excitations for the 3 leg spin-1/2 tube
- Low-energy effective theory and two distinct critical phases in a spin-1/2 frustrated three-leg spin tube
- Quantum criticality in an asymmetric three-leg spin tube: A strong rung-coupling perspective
- Spin-wave analysis for Kagome-triangular spin system and coupled spin tubes: low-energy excitation for the cuboc order
- Quantum order by disorder in Frustrated Spin Nanotubes
- Quantum Phase Transition in the Twisted Three-Leg Spin Tube
- Quantum Phase Transition of the Twisted Spin Tube
- Emergent SU(3) symmetry in a four leg spin tube
- Anomalous behavior of the spin gap of a spin-1/2 two-leg antiferromagnetic ladder with Ising-like rung interactions
- Inversion Phenomena of the Anisotropies of the Hamiltonian and the Wave Function in Quantum Spin Chains