# Low-energy singlet sector in the spin-1/2 J1–J2 Heisenberg model on a square lattice

@article{Aktersky2016LowenergySS, title={Low-energy singlet sector in the spin-1/2 J1–J2 Heisenberg model on a square lattice}, author={A.Yu. Aktersky and A. V. Syromyatnikov}, journal={Journal of Experimental and Theoretical Physics}, year={2016}, volume={123}, pages={1035-1042} }

Based on a special variant of the plaquette expansion, an operator is constructed whose eigenvalues give the low-energy singlet spectrum of a spin-$$\frac{1}{2}$$12 Heisenberg antiferromagnet on a square lattice with nearest-heighbor and frustrating next-nearest-neighbor exchange couplings J1 and J2. It is well known that a nonmagnetic phase arises in this model for 0.4 ≲ J2/J1 ≲ 0.6, sandwiched by two Néel ordered phases. In agreement with previous results, we observe a first-order quantum…

## 6 Citations

Elementary excitations in the ordered phase of spin-
12
J1
–
J2
model on square lattice

- PhysicsPhysical Review B
- 2019

We use recently proposed four-spin bond-operator technique (BOT) to discuss spectral properties of frustrated spin-$\frac12$ $J_1$--$J_2$ Heisenberg antiferromagnet on square lattice at $J_2<0.4J_1$…

Collective excitations in spin-
12
magnets through bond-operator formalism designed both for paramagnetic and ordered phases

- PhysicsPhysical Review B
- 2018

We present a bond-operator theory (BOT) suitable for the description of both magnetically ordered phases and paramagnetic phases with singlet ground states in spin-1/2 magnets. This technique allows…

Cluster functional renormalization group and absence of a bilinear spin liquid in the
J1−J2
Heisenberg model

- PhysicsPhysical Review B
- 2019

The pseudofermion functional renormalization group (pf-FRG) has been put forward as a semi-analytical scheme that, for a given microscopic spin model, allows to discriminate whether the…

Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: Stability and properties of many-triplon states

- Physics
- 2020

We study a system of interacting triplons (the elementary excitations of a valence-bond solid) described by an effective interacting boson model derived within the bond-operator formalism. In…

Mean-field theory of interacting triplons in a two-dimensional valence-bond solid

- Physics
- 2020

We study a system of interacting triplons (the elementary excitations of a valence-bond solid) described by an effective interacting boson model derived within the bond-operator formalism. In…

Quantum critical breakdown of a gapless frustrated antiferromagnet

- 2016

We use continuous similarity transformations in momentum space with a truncationscheme based on the scaling dimension to analyze the quantum phase transitions in the square lattice spin-12 J1-J2…

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