The phase diagram of the extended anisotropic ferromagnetic-antiferromagnetic Heisenberg chain

Abstract

By using Density Matrix Renormalization Group (DMRG) technique we study the phase diagram of 1D extended anisotropic Heisenberg model with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions. We analyze the static correlation functions for the spin operators both in- and out-of-plane and classify the zero-temperature phases by the range of their correlations. On clusters of $64,100,200,300$ sites with open boundary conditions we isolate the boundary effects and make finite-size scaling of our results. Apart from the ferromagnetic phase, we identify two gapless spin-fluid phases and two ones with massive excitations. Based on our phase diagram and on estimates for the coupling constants known from literature, we classify the ground states of several edge-sharing materials.

12 pages, 13 figures

References in corpus (14)

• 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
• Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
• Multi-magnon bound states in the frustrated ferromagnetic 1D chain
• Correlation functions and excitation spectrum of the frustrated ferromagnetic spin-1/2 chain in an external magnetic field
• Renormalization of concurrence: the application of quantum renormalization group to the quantum information systems
• Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
• Phase Diagram of the One Dimensional $S=1/2$ $XXZ$ model with Ferromagnetic nearest-neighbor and Antiferromagnetic next-nearest neighbor interactions
• Highly Dispersive Spin Excitations in the Chain Cuprate Li2CuO2
• Weakly anisotropic frustrated zigzag spin chain
• Exact one- and two-particle excitation spectra of acute-angle helimagnets above their saturation magnetic field
• Quantum Fluctuations of Chirality in One-Dimensional Spin-1/2 Multiferroics: Gapless Dielectric Response from Phasons and Chiral Solitons
• Non-ergodic dynamics of the extended anisotropic Heisenberg chain
• Entanglement in the 1D extended anisotropic Heisenberg model

Cited by in corpus (10)

• Magnetic properties and revisited exchange integrals of the frustrated chain cuprate PbCuSO${}_4$(OH)${}_2$ - linarite
• Emery vs. Hubbard model for cuprate superconductors: a Composite Operator Method study
• Composite Operator Method analysis of the underdoped cuprates puzzle
• The Hubbard model beyond the two-pole approximation: a Composite Operator Method study
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• The spiral spin state in a zigzag spin chain system
• The composite operator method route to the 2D Hubbard model and the cuprates
• Phase diagram of a frustrated asymmetric ferromagnetic spin ladder
• First-order commensurate-incommensurate magnetic phase transition in the coupled FM spin-1/2 two-leg ladders
• COM(3p) solution of the 2D Hubbard model: momentum resolved quantities