Magnetic field - temperature phase diagram of ferrimagnetic alternating chains: spin-wave theory from a fully polarized vacuum

Abstract

Quantum critical (QC) phenomena can be accessed by studying quantum magnets under an applied magnetic field ($B$). The QC points are located at the endpoints of magnetization plateaus and separate gapped and gapless phases. In one dimension, the low-energy excitations of the gapless phase form a Luttinger liquid (LL), and crossover lines bound insulating (plateau) and LL regimes, as well as the QC regime. Alternating ferrimagnetic chains have a spontaneous magnetization at $T=0$ and gapped excitations at zero field. Besides the plateau at the fully polarized (FP) magnetization; due to the gap, there is another magnetization plateau at the ferrimagnetic (FRI) magnetization. We develop spin-wave theories to study the thermal properties of these chains under an applied magnetic field: one from the FRI classical state, and other from the FP state, comparing their results with quantum Monte Carlo data. We deepen the theory from the FP state, obtaining the crossover lines in the $T$ vs. $B$ low-$T$ phase diagram. In particular, from local extreme points in the susceptibility and magnetization curves, we identify the crossover between an LL regime formed by excitations from the FRI state to another built from excitations of the FP state. These two LL regimes are bounded by an asymmetric dome-like crossover line, as observed in the phase diagram of other quantum magnets under an applied magnetic field.

arXiv comment10 pages, 8 figures

References in corpus (42)

• Quantum phase transitions
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Bose-Einstein Condensation in Magnetic Insulators
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
• Low-Lying Excited States and Low-Temperature Properties of an Alternating Spin-1 / Spin-1/2 Chain : A DMRG study
• Thermodynamics of the Spin Luttinger-Liquid in a Model Ladder Material
• Magnetic Properties of the Spin-1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Trimerized Heisenberg Chain:
• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Ground states with cluster structures in a frustrated Heisenberg chain
• Elementary Excitations of Heisenberg Ferrimagnetic Spin Chains
• Low Temperature Properties of Quantum Antiferromagnetic Chains with Alternating Spins S=1 and 1/2
• Thermodynamic Properties of Heisenberg Ferrimagnetic Spin Chains: Ferromagnetic-Antiferromagnetic Crossover
• Thermodynamics of the (1,1/2) Ferrimagnet in Finite Magnetic Fields
• Superconductivity in repulsively interacting fermions on a diamond chain: flat-band induced pairing
• Universal temperature dependence of the magnetization of gapped spin chains
• Critical Behaviour of Mixed Heisenberg Chains
• A DMRG Study of Low-Energy Excitations and Low-Temperature Properties of Alternating Spin Systems
• Bosonic representation of one-dimensional Heisenberg ferrimagnets
• Combination of Ferromagnetic and Antiferromagnetic Features in Heisenberg Ferrimagnets
• Thermodynamics of Spin-1/2 AF-AF-F and F-F-AF Trimerized Quantum Heisenberg Chains
• Spontaneously magnetized Tomonaga-Luttinger liquid in frustrated quantum antiferromagnets
• Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
• Thermodynamics of spin-1/2 tetrameric Heisenberg antiferromagnetic chain
• Diversity of quantum ground states and quantum phase transitions of a spin-1/2 Heisenberg octahedral chain
• Some experimental tests of Tomonaga-Luttinger liquids
• Magnon dispersions in quantum Heisenberg ferrimagnetic chains at zero temperature
• Magnetism and thermodynamics of spin-(1/2,1) decorated Heisenberg chain with spin-1 pendants
• Diagonal Ladders: A New Class of Models for Strongly Coupled Electron Systems
• Doped AB_2 Hubbard Chain: Spiral, Nagaoka and RVB States, Phase Separation and Luttinger Liquid Behavior
• Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
• Bound states and field-polarized Haldane modes in a quantum spin ladder
• Magnetic signatures of quantum critical points of the ferrimagnetic mixed spin-(1/2, S) Heisenberg chains at finite temperatures
• Frustration-Induced Ferrimagnetism in S=1/2 Heisenberg Spin Chain
• Conductance through geometrically frustrated itinerant electronic systems
• Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
• Ground-state phases of rung-alternated spin-1/2 Heisenberg ladder
• Magnetism and Electronic Correlations in Quasi-One-Dimensional Compounds
• Breakdown of a Magnetization Plateau in Ferrimagnetic Mixed Spin-(1/2,S) Heisenberg Chains Due to a Quantum Phase Transition Towards the Luttinger Spin Liquid
• Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
• Partial Ferrimagnetism in S=1/2 Heisenberg Ladders with a Ferromagnetic Leg, an Antiferromagnetic Leg, and Antiferromagnetic Rungs
• Bose-Einstein Condensation of Magnons in NiCl2-4SC(NH2)2

Cited by in corpus (6)

• Topology of many-body edge and extended quantum states in an open spin chain: 1/3--plateau, Kosterlitz-Thouless transition, and Luttinger liquid
• Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical-mechanical monomer-dimer problem
• Breakdown of intermediate one-half magnetization plateau of spin-1/2 Ising-Heisenberg and Heisenberg branched chains at triple and Kosterlitz-Thouless critical points
• The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field
• Mixed-spin Heisenberg ladders in a magnetic field
• Micromagnons and long-range entanglement in ferrimagnetic ground states