Ising order in a magnetized Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya interaction

Abstract

We report a combined analytical and density matrix renormalized group study of the antiferromagnetic XXZ spin-1/2 Heisenberg chain subject to a uniform Dzyaloshinskii-Moriya (DM) interaction and a transverse magnetic field. The numerically determined phase diagram of this model, which features two ordered Ising phases and a critical Luttinger liquid one with fully broken spin-rotational symmetry, agrees well with the predictions of Garate and Affleck [Phys. Rev. B 81, 144419 (2010)]. We also confirm the prevalence of the N z Néel Ising order in the regime of comparable DM and magnetic field magnitudes.

arXiv comment14 pages, 10 figures

References in corpus (27)

• Anyons in an exactly solved model and beyond
• Unpaired Majorana fermions in quantum wires
• The density-matrix renormalization group
• New directions in the pursuit of Majorana fermions in solid state systems
• Efficient classical simulation of slightly entangled quantum computations
• New Perspectives for Rashba Spin-Orbit Coupling
• Efficient simulation of one-dimensional quantum many-body systems
• Critical Phenomena and Renormalization-Group Theory
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Exact expectation values of local fields in quantum sine-Gordon model
• Twisted magnetic patterns: Exploring the Dzyaloshinskii--Moriya vector
• Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
• Spin-orbital effects in magnetized quantum wires and spin chains
• Gap generation in the XXZ model in a transverse magnetic field
• Modes of magnetic resonance in the spin liquid phase of Cs2CuCl4
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Correlation amplitude for S=1/2 XXZ spin chain in the critical region
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Interplay between Symmetric Exchange Anisotropy, Uniform Dzyaloshinskii-Moriya Interaction and Magnetic Fields in the Phase Diagram of Quantum Magnets and Superconductors
• Quantum spin chains with frustration due to Dzyaloshinskii-Moriya interactions
• Field-induced incommensurate-to-commensurate transition in Ba_2CuGe_2O_7
• Electron spin resonance in a model S=1/2 chain antiferromagnet with a uniform Dzyaloshinskii--Moriya interaction
• Phase Diagram of the Spin-$1/2$ Triangular $J_1$-$J_2$ Heisenberg Model on a 3-leg Cylinder
• Dimer correlation amplitudes and dimer excitation gap in spin-1/2 XXZ and Heisenberg chains
• Efficient evaluation of high-order moments and cumulants in tensor network states
• Phase diagram of weakly coupled Heisenberg spin chains subject to a uniform Dzyaloshinskii-Moriya interaction
• Spin Correlations in Quantum Wires

Cited by in corpus (14)

• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Unconventional field-induced spin gap in an $S=1/2$ chiral staggered chain
• Spin-1/2 anisotropic Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction via mean-field approximation
• Factorization, coherence and asymmetry in the Heisenberg spin-1/2 XXZ chain a transverse magnetic field and with Dzyaloshinskii-Moriya interaction
• Ineffectiveness of the Dzyaloshinskii-Moriya interaction in the dynamical quantum phase transition in the ITF model
• Electron Spin Resonance of the Interacting Spinon Liquid
• Magnetic phase diagram of a spin S=1/2 antiferromagnetic two-leg ladder in the presence of modulated along legs Dzyaloshinskii-Moriya interaction
• Magnetic phase diagram of a spin-1/2 XXZ chain with modulated Dzyaloshinskii-Moriya interaction
• Majorana end states in an interacting quantum wire
• Hydrodynamics of interacting spinons in the magnetized spin-$1/2$ chain with the uniform Dzyaloshinskii-Moriya interaction
• Characterization of partially accessible anisotropic spin chains in the presence of anti-symmetric exchange
• Field-induced dimer orders in quantum spin chains
• Ferromagnetic Heisenberg model with the Dzyaloshinskii-Moriya interaction
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions