Spiral correlations in frustrated one-dimensional spin-1/2 Heisenberg J1-J2-J3 ferromagnets

Abstract

We use the coupled cluster method for infinite chains complemented by exact diagonalization of finite periodic chains to discuss the influence of a third-neighbor exchange J3 on the ground state of the spin-1/2 Heisenberg chain with ferromagnetic nearest-neighbor interaction J1 and frustrating antiferromagnetic next-nearest-neighbor interaction J2. A third-neighbor exchange J3 might be relevant to describe the magnetic properties of the quasi-one-dimensional edge-shared cuprates, such as LiVCuO4 or LiCu2O2. In particular, we calculate the critical point J2^c as a function of J3, where the ferromagnetic ground state gives way for a ground state with incommensurate spiral correlations. For antiferromagnetic J3 the ferro-spiral transition is always continuous and the critical values J2^c of the classical and the quantum model coincide. On the other hand, for ferromagnetic J3 \lesssim -(0.01...0.02)|J1| the critical value J2^c of the quantum model is smaller than that of the classical model. Moreover, the transition becomes discontinuous, i.e. the model exhibits a quantum tricritical point. We also calculate the height of the jump of the spiral pitch angle at the discontinuous ferro-spiral transition.

16 pages, 4 figures, version as published in JPCM

References in corpus (13)

• Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
• Emergent multipolar spin correlations in a fluctuating spiral - The frustrated ferromagnetic S=1/2 Heisenberg chain in a magnetic field
• Magnon pairing in quantum spin nematic
• Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Coupled Cluster Treatment of the Shastry-Sutherland Antiferromagnet
• Thermodynamics of a one-dimensional frustrated spin-1/2 Heisenberg ferromagnet
• Weakly anisotropic frustrated zigzag spin chain
• Saturation field of frustrated chain cuprates: broad regions of predominant interchain coupling
• Coupled frustrated quantum spin-1/2 chains with orbital order in volborthite Cu3V2O7(OH)2(H2O)2
• Influence of an inter-chain coupling on spiral ground-state correlations in frustrated spin-1/2 J1-J2 Heisenberg chains
• Temperature dependent optical conductivity of undoped cuprates with weak exchange
• Zigzag spin-S chain near ferromagnet-antiferromagnet transition point

Cited by in corpus (9)

• Analytical and numerical studies of the one-dimensional sawtooth chain
• Thermodynamics of the frustrated one-dimensional spin-1/2 Heisenberg ferromagnet in a magnetic field
• Linarite - a quasi-critical J${}_1$-J${}_2$ chain
• Spiral ground state in the quasi-two-dimensional spin-1/2 system Cu2GeO4
• Magnetic-field-induced incommensurate to collinear spin order transition in NiBr${}_2$
• Competing long-range interactions and spin vector chirality in spin-chains
• Frustration induced noncollinear magnetic order phase in one-dimensional Heisenberg chain with alternating antiferromagnetic and ferromagnetic next nearest neighbor interactions
• Collapse and control of the MnAu${}_2$ spin-spiral state through pressure and doping
• Coupled Cluster Treatment of the Alternating Bond Diamond Chain