Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice

  title={Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice},
  author={P. S. Ghosh and Tobias M{\"u}ller and Francesco Parisen Toldin and Johannes Richter and Rajesh Narayanan and Ronny Thomale and Johannes Reuther and Yasir Iqbal},
  journal={Physical Review B},
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 third-neighbor $J_{3}$ exchange interactions. The classical ground state phase diagram obtained by a Luttinger-Tisza analysis is shown to host six different (noncollinear) helimagnetic orders in addition to ferromagnetic, N\'eel, stripe and planar antiferromagnetic orders. Employing the pseudofermion… 
Competing orders in a frustrated Heisenberg model on the Fisher lattice
We investigate the Heisenberg model on a decorated square (Fisher) lattice in the presence of first neighbor $J_{1}$, second neighbor $J_{2}$, and third neighbor $J_{3}$ exchange couplings, with
Degenerate manifolds, helimagnets, and multi- Q chiral phases in the classical Heisenberg antiferromagnet on the face-centered-cubic lattice
We present a detailed study of the ground state phase diagram of the classical frustrated Heisenberg model on the face-centered-cubic lattice. By considering exchange interactions up till third
Absence of magnetic ordering in the spin liquid candidate Ca3Cu2GeV2O12.
Using both neutron and X-ray diffraction along with heat capacity and magnetometry, the work presented here shows Ca3Cu2GeV2O12 has potential as a new spin liquid candidate.
Projective symmetry group classifications of quantum spin liquids on the simple cubic, body centered cubic, and face centered cubic lattices
We perform extensive classifications of $\mathbb{Z}_2$ quantum spin liquids on the simple cubic, body centered cubic, and face centered cubic lattices using a spin-rotation invariant fermionic
Multiloop functional renormalization group approach to quantum spin systems
Renormalization group methods are well-established tools for the (numerical) investigation of the low-energy properties of correlated quantum many-body systems, allowing to capture their
Classical spiral spin liquids as a possible route to quantum spin liquids.
The pseudofermion functional renormalization group (PFFRG) technique is employed to investigate the effects of quantum fluctuations when the classical spins are replaced by quantum $S=1/2$ spins and finds that extended spiral spin-liquid regimes change into paramagnetic quantum phases possibly realizing quantum spin liquids.
Size- and temperature-dependent magnetization of iron nanoclusters
The magnetic behavior of bcc iron nanoclusters, with diameters between 2 and 8 nm, is investigated by means of spin dynamics (SD) simulations coupled to molecular dynamics (MD-SD), using a
Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach
Nils Niggemann,1 Björn Sbierski,2 and Johannes Reuther1, 3 Dahlem Center for Complex Quantum Systems and Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin,
Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
Max Hering, 2 Vincent Noculak, 2 Francesco Ferrari, Yasir Iqbal, and Johannes Reuther 2 Helmholtz-Zentrum Berlin für Materialien und Energie, Hahn-Meitner Platz 1, 14109 Berlin, Germany Dahlem Center


Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
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
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
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 $J_3$
Frustrated Heisenberg Antiferromagnets on Cubic Lattices: Magnetic Structures, Exchange Gaps, and Non-Conventional Critical Behaviour
We have studied the Heisenberg antiferromagnets characterized by the magnetic structures with the periods being two times larger than the lattice period. We have considered all the types of the
Quasiclassical magnetic order and its loss in a spin- 12 Heisenberg antiferromagnet on a triangular lattice with competing bonds
We use the coupled cluster method (CCM) to study the zero-temperature ground-state (GS) properties of a spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$ Heisenberg antiferromagnet on a triangular lattice with
Thermodynamics of layered Heisenberg magnets with arbitrary spin
We present a spin-rotation-invariant Green-function theory of long- and short-range order in the ferro- and antiferromagnetic Heisenberg model with arbitrary spin quantum number $S$ on a stacked
Thermodynamics of the frustrated J1-J2 Heisenberg ferromagnet on the body-centered cubic lattice with arbitrary spin
Abstract We use the spin-rotation-invariant Green’s function method as well as the high-temperature expansion to discuss the thermodynamic properties of the frustrated spin-SJ1-J2 Heisenberg magnet
Absence of Long-Range Order in a Triangular Spin System with Dipolar Interactions.
It is shown that for the triangular lattice dipolar Heisenberg model, a robust quantum paramagnetic phase exists in a surprisingly wide region, θ∈[0,54°), for dipoles tilted along the lattice diagonal direction, points to a promising direction to search for quantum spin liquids in ultracold dipolar molecules.
Ground-state ordering of the J1 - J2 model on the simple cubic and body-centered cubic lattices
The J1−J2 Heisenberg model is a “canonical” model in the field of quantum magnetism in order to study the interplay between frustration and quantum fluctuations as well as quantum phase transitions
Quantum phases of the planar antiferromagnetic J 1 -J 2 -J 3 Heisenberg model
We present results of a complementary analysis of the frustrated planar J_1-J_2-J_3 spin-1/2 quantum-antiferromagnet. Using dynamical functional renormalization group, high-order coupled cluster