Phase Diagrams, Distinct Conformal Anomalies and Thermodynamics of Spin-1 Bond-Alternating Heisenberg Antiferromagnetic Chain in Magnetic Fields

Abstract

The ground state phase diagrams and thermodynamic properties of a spin-1 bond-alternating Heisenberg antiferromagnetic chain with a single-ion anisotropy in longitudinal and transverse magnetic fields are investigated jointly by means of the infinite time evolving block decimation, the linearized tensor renormalization group and the density matrix renormalization group methods. It is found that in the magnetic field-bond alternating ratio plane six phases such as singlet dimer, Haldane, two Tomonaga-Luttinger liquid, 1/2 magnetization plateau and spin polarized phases are identified in a longitudinal field, while in a transverse field there are fives phases including singlet dimer, Haldane, Z${}_2$ symmetry breaking, quasi-1/2 magnetization plateau and quasi spin polarized phases. A reentrant behavior of the staggered magnetization in a transverse field is observed. The quantum critical behaviors in longitudinal and transverse magnetic fields are disclosed to fall into different universality classes with corresponding conformal field central charge $c=1$ and 1/2, respectively. The experimental data of the compound NTENP under both longitudinal and transverse magnetic fields are nicely fitted, and the Luttinger liquid behavior of low temperature specific heat experimentally observed is also confirmed.

arXiv comment7 pages, 7 figures

References in corpus (29)

• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement spectrum of a topological phase in one dimension
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• The iTEBD algorithm beyond unitary evolution
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Phase Diagram of $S=1$ Bond-Alternating XXZ chains
• Magnetism and Thermodynamics of Spin-1/2 Heisenberg Diamond Chains in a Magnetic Field
• Thermal entanglement of one-dimensional Heisenberg quantum spin chains in magnetic fields
• Evidence for the singlet-dimer ground state in an S = 1 antiferromag netic bond alternating chain
• Anisotropic Antiferromagnetic Spin Chains in a Transverse Field: Reentrant Behavior of the Staggered Magnetization
• Thermodynamics of Spin-1/2 AF-AF-F and F-F-AF Trimerized Quantum Heisenberg Chains
• Low-temperature properties of the spin-1 antiferromagnetic Heisenberg chain with bond-alternation
• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Tomonaga-Luttinger Liquid in a Quasi-One-Dimensional S=1 Antiferromagnet Observed by the Specific Heat
• Magnetic Properties of J-J-J' Quantum Heisenberg Chains with Spin S=1/2, 1, 3/2 and 2 in a Magnetic Field
• Magnetism and thermodynamics of spin-(1/2,1) decorated Heisenberg chain with spin-1 pendants
• Magnetization plateau and incommensurate spin modulation in Ca3Co2O6
• Magnetization plateaux, Haldane-like gap, string order and hidden symmetry in a spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Distribution of exchange energy in a bond-alternating S=1 quantum spin chain
• Optical spin-1 chain and its use as a quantum computational wire
• Low-energy excitations in the magnetized state of the bond-alternating quantum S=1 chain system NTENP
• Field-Induced Transition in the S=1 Antiferromagnetic Chain with Single-Ion Anisotropy in a Transverse Magnetic Field
• Modes of magnetic resonance of S=1 dimer chain compound NTENP
• Dynamical properties of S=1 bond-alternating Heisenberg chains in transverse magnetic fields

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