Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
arXiv:1407.2463 · doi:10.1103/PhysRevB.91.064411
Abstract
The interplay between frustration and quantum fluctuation in magnetic systems is known to be the origin of many exotic states in condensed matter physics. In this paper, we consider a frustrated four-leg spin tube under a magnetic field. This system is a prototype to study the emergence of a nonmagnetic ground state factorizable into local states and the associated order parameter without quantum fluctuation, that appears in a wide variety of frustrated systems. The one-dimensional nature of the system allows us to apply various techniques: a path-integral formulation based on the notion of order by disorder, strong-coupling analysis where magnetic excitations are gapped, and density-matrix renormalization group. All methods point toward an interesting property of the ground state in the magnetization plateaus, namely, a quantized value of relative magnetizations between different sublattices (spin imbalance) and an almost perfect factorization of the ground state.
References in corpus (52)
- Entanglement Entropy and Quantum Field Theory
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- An RVB phase in the triangular lattice quantum dimer model
- Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
- Identifying Topological Order by Entanglement Entropy
- Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
- Low-temperature properties of classical, geometrically frustrated antiferromagnets
- Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
- Spin Liquid Ground State of the Spin-1/2 Square - Heisenberg Model
- Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
- Fractionalization in an Easy-axis Kagome Antiferromagnet
- Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
- Order by distortion and string modes in pyrochlore antiferromagnet
- Spin Driven Jahn-Teller Distortion in a Pyrochlore system
- Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
- Magnetization Plateaux in N-Leg Spin Ladders
- Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice
- Order induced by dipolar interactions in a geometrically frustrated antiferromagnet
- Spin-Peierls phases in pyrochlore antiferromagnets
- Quantum order by disorder and accidental soft mode Er2Ti2O7
- Breathing Pyrochlore Lattice Realized in A-Site Ordered Spinel Oxides LiGaCr4O8 and LiInCr4O8
- Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
- Ground states with cluster structures in a frustrated Heisenberg chain
- Singlet Excitations in Pyrochlore: A Study of Quantum Frustration
- Field induced transitions in a kagome antiferromagnet
- Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
- Experimental Realization of a Quantum Breathing Pyrochlore Antiferromagnet
- Quantum kagome antiferromagnet in a magnetic field: Low-lying non-magnetic excitations versus valence-bond crystal order
- Partial order from disorder in a classical pyrochlore antiferromagnet
- First-order quantum phase transition in the orthogonal-dimer spin chain
- Bond order from disorder in the planar pyrochlore magnet
- Frustrated Heisenberg antiferromagnet on a pyrochlore lattice
- From classical to quantum Kagome antiferromagnet in a magnetic field
- Ising Like Order by Disorder In The Pyrochlore Antiferromagnet with Dzyaloshinskii-Moriya Interactions
- Quantum phase transitions in multileg spin ladders with ring exchange
- Quantum spin nanotubes -- frustration, competing orders and criticalities
- Order by disorder and gauge-like degeneracy in quantum pyrochlore antiferromagnet
- Geometric phases and the magnetization process in quantum antiferromagnets
- Degenerate perturbation theory of quantum fluctuations in a pyrochlore antiferromagnet
- Effective Hamiltonian for the Pyrochlore antiferromagnet: semiclassical derivation and degeneracy
- Quantum phase transitions in three-leg spin tubes
- Dzyaloshinsky-Moriya-Induced Order in the Spin-Liquid Phase of the S=1/2 Pyrochlore Antiferromagnet
- Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice
- Spin-Chirality Separation and S_3-Symmetry Breakings in the Magnetization Plateau of the Quantum Spin Tube
- Anharmonic Ground state selection in the pyrochlore antiferromagnet
- Series Expansion Analysis of a Frustrated Four-Spin-Tube
- Phase diagram of the fully frustrated transverse-field Ising model on the honeycomb lattice
- Effective Hamiltonians for large-S pyrochlore antiferromagnet
- Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets
- Quantum phases of a frustrated four-leg spin tube
- Spin-nematic order in the frustrated pyrochlore-lattice quantum rotor model
Cited by in corpus (10)
- Entropy-driven order in an array of nanomagnets
- Magnetic phase diagram of the coupled triangular spin tubes for CsCrF4
- Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
- Magnon crystals and magnetic phases in a Kagomé-stripe antiferromagnet
- Diagnosing order by disorder in quantum spin systems
- The quantum spin quadrumer
- Current jumps in flat band ladders with Dzyaloshinskii-Moriya interactions
- Competing phases and critical behavior in three coupled spinless Luttinger liquids
- Quantum order by disorder in Frustrated Spin Nanotubes
- Geometrically Frustrated Anisotropic Four-Leg Spin- Nanotube