Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions

  title={Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions},
  author={Yasir Iqbal and Tobias Muller and P. S. Ghosh and Michel J. P. Gingras and Harald O. Jeschke and Stephan Rachel and Johannes Reuther and Ronny Thomale},
  journal={Physical Review X},
We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin-$S$ in the presence of nearest-neighbor $J_{1}$ and second-nearest-neighbor $J_{2}$ exchange interactions. By employing the pseudofermion functional renormalization group (PFFRG) method, we find, for $S=1/2$ and $S=1$, an extended quantum spin liquid phase centered around $J_{2}=0$, which is shown to be robust against the introduction of breathing anisotropy. The effects of temperature, quantum fluctuations… 
Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice
We investigate the spin $S=1/2$ Heisenberg model on the body centered cubic lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor $J_{1}$, second-neighbor $J_{2}$, and
Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the Heisenberg antiferromagnet on the pyrochlore lattice.
Magnetization plateaus of the quantum pyrochlore Heisenberg antiferromagnet
We predict magnetisation plateaux ground states for $S=1/2$ Heisenberg antiferromagnets on pyrochlore lattices by formulating arguments based on gauge and spin-parity transformations. We derive a
The spin-1/2 Heisenberg ferromagnet on the pyrochlore lattice: A Green's function study
We consider the pyrochlore-lattice quantum Heisenberg ferromagnet and discuss the properties of this spin model at arbitrary temperatures. To this end, we use the Green's function technique within
Characterization of quantum spin liquids and their spinon band structures via functional renormalization
We combine the pseudofermion functional renormalization group (PFFRG) method with a self-consistent Fock-like mean-field scheme to calculate low-energy effective theories for emergent spinon
Dynamical Structure Factor of the Three-Dimensional Quantum Spin Liquid Candidate NaCaNi_{2}F_{7}.
Two surprising aspects are discussed: the complete lack of sharp quasiparticle excitations in momentum space and the success of the linear spin wave theory in a regime where it would be expected to fail for several reasons.
Spin-lattice Coupling and the Emergence of the Trimerized Phase in the S=1 Kagome Antiferromagnet Na_{2}Ti_{3}Cl_{8}.
It is shown that lattice effects can be necessary to understand the magnetism in frustrated magnetic compounds and surmise that Na_{2}Ti_{3}Cl_{8} is a compound that cannot be understood from only electronic or only lattice Hamiltonians, very much like VO_{2}.
Continuous transformation between ferro and antiferro circular structures in J1 - J2 - J3 frustrated Heisenberg model.
This work considers Heisenberg model on the square lattice and uses the spherically symmetric self-consistent approach for spin-spin Green's functions in ``quasielastic'' approximation, and finds new local order in spin liquids: antiferomagnetic isotropical helices.
Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
We study the S = 1/2 pyrochlore Heisenberg antiferromagnet in a magnetic field. Using large scale density-matrix renormalization group (DMRG) calculations for clusters up to 128 spins, we find
Dynamic magnetism in the disordered hexagonal double perovskite BaTi1/2Mn1/2O3
Magnetic frustration and disorder are key ingredients to prevent the onset of magnetic order. In the disordered hexagonal double perovskite BaTi$_{1/2}$Mn$_{1/2}$O$_{3}$, Mn$^{4+}$ cations, with


Quantum fluctuations in the effective pseudospin- 1 2 model for magnetic pyrochlore oxides
The effective quantum pseudospin-$1/2$ model for interacting rare-earth magnetic moments, which are locally described with atomic doublets, is studied theoretically for magnetic pyrochlore oxides. It
Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and
Partial order from disorder in a classical pyrochlore antiferromagnet
We investigate theoretically the phase diagram of a classical Heisenberg antiferromagnet on the pyrochlore lattice perturbed by a weak second-neighbor interaction ${J}_{2}$. The huge ground-state
Theory of antiferromagnetic Heisenberg spins on a breathing pyrochlore lattice
Spin-singlet orders are studied for the antiferromagnetic Heisenberg model with spin $S$>1/2 on a breathing pyrochlore lattice, where tetrahedron units are weakly coupled and exchange constants have
Intertwined nematic orders in a frustrated ferromagnet
We investigate the quantum phases of the frustrated spin-$\frac{1}{2}$ $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice with ferromagnetic $J_1$ and antiferromagnetic $J_2$ and $J_3$
Spin liquid nature in the Heisenberg J1-J2 triangular antiferromagnet
We investigate the spin-$\frac{1}{2}$ Heisenberg model on the triangular lattice in the presence of nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Motivated by
Quantum Spin Liquids in Frustrated Spin-1 Diamond Antiferromagnets.
Applying a recently developed pseudospin functional renormalization group approach for arbitrary spin-S magnets, it is found that systems with S≥3/2 reside in the classical regime, where the low-temperature physics is dominated by the formation of coplanar spirals and a thermal transition.
Signatures of a gearwheel quantum spin liquid in a spin- 12 pyrochlore molybdate Heisenberg antiferromagnet
We theoretically investigate the low-temperature phase of the recently synthesized Lu$_2$Mo$_2$O$_5$N$_2$ material, an extraordinarily rare realization of a $S=1/2$ three-dimensional pyrochlore
Persistence of the gapless spin liquid in the breathing kagome Heisenberg antiferromagnet
The nature of the ground state of the spin $S=1/2$ Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e., with different superexchange couplings $J_{\vartriangle}$ and
Quantum dimer models and effective Hamiltonians on the pyrochlore lattice
We study a large-$N$ deformation of the $S=1∕2$ pyrochlore Heisenberg antiferromagnet which leads to a soluble quantum dimer model at leading nontrivial order. In this limit, the ground state