Finite-temperature order-disorder phase transition in a frustrated bilayer quantum Heisenberg antiferromagnet in strong magnetic fields

Richter, Johannes; Derzhko, Oleg; Krokhmalskii, Taras

doi:10.1103/physrevb.74.144430

Cited by 33 publications

(63 citation statements)

References 38 publications

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“…61,70,71,85 It is worth mentioning, that for B B sat in the thermodynamic limit this extra-maximum likely becomes a true singularity indicating a low-temperature order-disorder transition into a magnon-crystal phase. 70,86 Interestingly, the influence of B on the main maxi- To illuminate the role of frustration we contrast this behavior with that of the unfrustrated SHAF, also see Fig. 8.…”

Section: Kagomé Lattice Antiferromagnet N = 42mentioning

confidence: 99%

Magnetism of theN=42kagome lattice antiferromagnet

Schnack¹,

Schulenburg²,

Richter³

2018

Phys. Rev. B

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103

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For the paradigmatic frustrated spin-half Heisenberg antiferromagnet on the kagomé lattice we performed large-scale numerical investigation of thermodynamic functions by means of the finitetemperature Lanczos method for system sizes of up to N = 42. We present the dependence of magnetization as well as specific heat on temperature and external field and show in particular that a finite-size scaling of specific heat supports the appearance of a low-temperature shoulder below the major maximum. This seems to be the result of a counterintuitive motion of the density of singlet states towards higher energies. Other interesting features that we discuss are the asymmetric melting of the 1/3 magnetization plateau as well the field dependence of the specific heat that exhibits characteristic features caused by the existence of a flat one-magnon band. By comparison with the unfrustrated square-lattice antiferromagnet the tremendous role of frustration in a wide temperature range is illustrated.

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Section: Kagomé Lattice Antiferromagnet N = 42mentioning

confidence: 99%

Magnetism of theN=42kagome lattice antiferromagnet

Schnack¹,

Schulenburg²,

Richter³

2018

Phys. Rev. B

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103

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“…Discussion.-Clearly, the method presented here can be applied to a large class of frustrated magnets [59][60][61][62], and models closely related to specific strongly correlated materials: for instance, a generalized version of H mixed has been argued to be a good model for the mineral azurite Cu 3 (CO 3 ) 2 (OH) 2 [47], and the specific heat of the fully frustrated ladder (Supplemental Material) has similar features with the Shastry-Sutherland compound SrCu 2 (BO 3 ) 2 [55]. This QMC method also enables the search for finite-T signatures of multi-triplet bond states, as shown in Ref.…”

mentioning

confidence: 93%

Sign-Problem-Free Monte Carlo Simulation of Certain Frustrated Quantum Magnets

2016

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We introduce a quantum Monte Carlo (QMC) method for efficient sign-problem-free simulations of a broad class of frustrated S=1/2 antiferromagnets using the basis of spin eigenstates of clusters to avoid the severe sign problem faced by other QMC methods. We demonstrate the utility of the method in several cases with competing exchange interactions and flag important limitations as well as possible extensions of the method.

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“…4,14 In two-dimensional systems, localizedmagnon states may lead to a finite-temperature order-disorder phase transition of purely geometrical origin. 4,15 It is worth mentioning that this concept for quantum spin systems is related to Mielke's and Tasaki's flat-band ferromagnetism of the Hubbard model. 11,18,19 The previously developed theories for localized-magnon spin lattices are valid if the conditions for localization of the magnon states are strictly fulfilled (so-called ideal geometry).…”

Section: Introductionmentioning

confidence: 99%

Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario

et al. 2013

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We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain, and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating high-energy degrees of freedom at high magnetic fields, we construct low-energy effective Hamiltonians, which are much simpler than the initial ones. These effective Hamiltonians allow a more extended analytical and numerical analysis. In addition to the standard strong-coupling perturbation theory, we also use a localized-magnon-based approach leading to a substantial improvement of the strong-coupling approximation. We perform extensive exact diagonalization calculations to check the quality of different effective Hamiltonians by comparison with the initial models. Based on the effective-model description, we examine the low-temperature properties of the considered frustrated quantum Heisenberg antiferromagnets in the high-field regime. We also apply our approach to explore thermodynamic properties for a generalized diamond spin chain model suitable to describe azurite at high magnetic fields. Interesting features of these highly frustrated spin models consist in a steep increase of the entropy at very small temperatures and a characteristic extra low-temperature peak in the specific heat. The most prominent effect is the existence of a magnetic-field-driven Berezinskii-Kosterlitz-Thouless phase transition occurring in the two-dimensional model. DERZHKO, RICHTER, KRUPNITSKA, AND KROKHMALSKII PHYSICAL REVIEW B 88, 094426 (2013) (a) m m m J m J J J J m ,3 m J m m J J J J J m be shown that these localized-magnon states have the lowest energy in their corresponding S z subspace, if the strength of the antiferromagnetic bonds of the trapping cells J 2 exceeds a lower bound. 2,36 J J J J J m ,m FIG. 2. (Color online) The square-kagome lattice described by Hamiltonian (2.1). The trapping cells (squares) for localized magnons are indicated by bold solid red lines (J 2 bonds). 094426-2 FRUSTRATED QUANTUM HEISENBERG . . . PHYSICAL REVIEW B 88, 094426 (2013)

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Finite-temperature order-disorder phase transition in a frustrated bilayer quantum Heisenberg antiferromagnet in strong magnetic fields

Cited by 33 publications

References 38 publications

Magnetism of theN=42kagome lattice antiferromagnet

Magnetism of theN=42kagome lattice antiferromagnet

Sign-Problem-Free Monte Carlo Simulation of Certain Frustrated Quantum Magnets

Frustrated quantum Heisenberg antiferromagnets at high magnetic fields: Beyond the flat-band scenario

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