The quantumJ1–J1′–J2spin-1/2 Heisenberg model: influence of the interchain coupling on the ground-state magnetic ordering in two dimensions

Bishop, R. F.; Li, P. H. Y.; Darradi, R.; Richter, Johannes

doi:10.1088/0953-8984/20/25/255251

Cited by 78 publications

(193 citation statements)

References 36 publications

Supporting

Mentioning

176

Contrasting

Order By: Relevance

“…[11][12][13]61,62 We have also performed extrapolations for the data set with m = {6, 8, 10}. Both sets of results agree well with one another, which gives added credence to our results.…”

Section: Coupled Cluster Methodssupporting

confidence: 75%

“…It has been used to study various quantum magnets (see, e.g., Refs. [11][12][13][14][61][62][63][64][65][66][67][68][69][70][71] and references cited therein) very successfully. The method is particularly suitable for investigating frustrated systems, due to the fact that some of the main alternative methods are restricted by certain problems that arise in such cases.…”

Section: Coupled Cluster Methodsmentioning

confidence: 99%

“…[7][8][9][10]). Amongst several methods that have been very successfully applied to the J 1 -J 2 model has been the coupled cluster method (CCM), [11][12][13][14] which has also been applied to many similar strongly-interacting and highly frustrated spin-lattice models with comparable success. Other frustrated 2D models that have similarly engendered great recent interest include the spin-…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B

View full text Add to dashboard Cite

Ground-state phases of the frustrated spin- AbstractWe study the ground-state (gs) properties of the frustrated spin-1 2 J 1 -J 2 -J 3 Heisenberg model on the two-dimensional honeycomb lattice with ferromagnetic nearest-neighbor (J 1 = −1) exchange and frustrating antiferromagnetic next-nearest-neighbor (J 2 > 0) and next-next-nearest-neighbor (J 3 > 0) exchanges, for the case J 3 = J 2 . We use the coupled-cluster method implemented to high orders of approximation, complemented by the Lanczos exact diagonalization of a large finite lattice with 32 sites, in order to calculate the gs energy, magnetic order parameter, and spin-spin correlation functions. In one scenario we find a quantum phase transition point between regions characterized by ferromagnetic order and a form of antiferromagnetic ("striped") collinear order at J c 2 ≈ 0.1095 ± 0.0005, which is below the corresponding hypothetical transition point at J cl 2 = 1 7(≈ 0.143) for the classical version of the model, in which we momentarily ignore the intervening noncollinear spiral phase in the region In recent years frustrated quantum spin systems on regular two-dimensional (2D) lattices have aroused a great deal of research interest.1-3 In particular the interplay of magnetic frustration and quantum fluctuations has been seen to be a very effective route to destabilize or destroy magnetic order and thereby to create new quantum phases. Such 2D magnetic systems can thus in turn develop a diverse array of phases with widely different orderingproperties, such as antiferromagnets with quasiclassical Néel ordering, quantum "spirals", valence-bond crystals/solids, phases with nematic ordering, and spin liquids. Other factors that influence the ground-state (gs) phase structures are the nature of the underlying crystallographic lattice, the number and nature of the bonds on this lattice, and the spin quantum numbers of the atoms localized to the sites on the lattice. The theoretical investigation of these models has proceeded hand in hand with the discovery and experimental investigation of ever more quasi-2D magnetic materials with novel properties.One of the most intensively studied of all of the frustrated 2D models is the spin- HAFs on the triangular 15,16 and kagome lattices. 17,18There has been a large amount of recent experimental investigation of the properties of quasi-2D magnetic materials with a ferromagnetic (FM) NN coupling (J 1 < 0) and an antiferromagnetic (AFM) NNN coupling (J 2 > 0). 29 These experimental studies have also served to reignite interest in the theoretical investigation of the gs and thermodynamic properties of the FM J 1 -J 2 model, i.e., the model with FM NN exchange (J 1 < 0) and frustrating AFM NNN exchange (J 2 > 0). 30-41Interestingly, arguments for the existence of a spin-nematic phase between two quasiclassical magnetically-ordered phases were presented. 31,36,37,41 On the other hand, the existence of such a non-classical magnetically-disordered phase was also questioned in Ref.[39].Other systems that have grown in import...

show abstract

“…[11][12][13]61,62 We have also performed extrapolations for the data set with m = {6, 8, 10}. Both sets of results agree well with one another, which gives added credence to our results.…”

Section: Coupled Cluster Methodssupporting

confidence: 75%

Section: Coupled Cluster Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…In order to illustrate the nature of the phase transition, we also show, in inset The obtained phase diagram can be compared with recent results which used effective-field theory 34 and coupled-cluster method 30 , showing the same qualitative results predicting a paramagnetic region for small interlayer parameter (i.e., λ > λ 1 ), and for λ < λ 1 this QP phase disappears by presenting a direct first-order transition between the AF and CAF phases. On the other hand, recent calculations of second order spin wave theory 33 have…”

Section: Resultsmentioning

confidence: 94%

“…A generalization of the J 1 − J 2 Heisenberg antiferromagnetic model on a square lattice was introduced by Nersesyan and Tsvelik 26 and studied by other groups [27][28][29][30][31][32][33][34] , the so-called destroys it completely at a certain value of the interchain parameter λ.…”

mentioning

confidence: 99%

The quantum J1−J′1−J2 spin-1/2 Heisenberg antiferromagnet: A variational method study

Mabelini

Salmon

Sousa

2013

Solid State Communications

View full text Add to dashboard Cite

The phase transition of the quantum spin-1/2 frustrated Heisenberg antiferroferromagnet on an anisotropic square lattice is studied by using a variational treatment. The boundaries between these ordered phases merge at the quantum critical endpoint (QCE). Below this QCE there is again a direct first-order transition between the AF and CAF phases, with a behavior approximately described by the classical line α c λ/2.

show abstract

Quantum Magnetism

Parkinson¹,

Farnell²

2010

An Introduction to Quantum Spin Systems

View full text Add to dashboard Cite

The quantumJ₁–J₁′–J₂spin-1/2 Heisenberg model: influence of the interchain coupling on the ground-state magnetic ordering in two dimensions

Cited by 78 publications

References 36 publications

Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B

Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B

The quantum J1−J′1−J2 spin-1/2 Heisenberg antiferromagnet: A variational method study

Quantum Magnetism

Contact Info

Product

Resources

About

The quantumJ1–J1′–J2spin-1/2 Heisenberg model: influence of the interchain coupling on the ground-state magnetic ordering in two dimensions

Cited by 78 publications

References 36 publications

Ground-state phases of the frustrated spin-12J1–J2–Li1, Bishop2, Farnell3 et al. 2012Phys. Rev. B

Ground-state phases of the frustrated spin-12J1–J2–Li1, Bishop2, Farnell3 et al. 2012Phys. Rev. B

The quantum J1−J′1−J2 spin-1/2 Heisenberg antiferromagnet: A variational method study

Quantum Magnetism

Contact Info

Product

Resources

About

The quantumJ₁–J₁′–J₂spin-1/2 Heisenberg model: influence of the interchain coupling on the ground-state magnetic ordering in two dimensions

Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B

Ground-state phases of the frustrated spin-12J1–J2–
Li
¹
,
Bishop
²
,
Farnell
³

et al. 2012
Phys. Rev. B