Quantum paramagnet and frustrated quantum criticality in a spin-one diamond lattice antiferromagnet

Chen, Gang

doi:10.1103/physrevb.96.020412

Cited by 30 publications

(21 citation statements)

References 45 publications

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“…A particularly interesting member of this family is the J 1 -J 2 Heisenberg model on the diamond lattice, which is one of the few frustrated magnets to exhibit a subextensive ground-state degeneracy captured by a spiral surface in momentum space [6]. These spiral surfaces have been proposed to occur in certain A-site spinel compounds [6,[34][35][36][37][38], with recent inelastic neutron scattering experiments on MnSc 2 S 4 indeed reporting their unambiguous experimental observation [39]. In the context of this manuscript, the spiral surface of the J 1 -J 2 diamond model bears, of course, the most striking resemblance to the Fermi surface of a metal.…”

Section: J1-j2 Heisenberg Modelsmentioning

confidence: 99%

Classical spin spirals in frustrated magnets from free-fermion band topology

Attig

Trebst

2017

Phys. Rev. B

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The formation of coplanar spin spirals is a common motif in the magnetic ordering of many frustrated magnets. For classical antiferromagnets, geometric frustration can lead to a massively degenerate ground state manifold of spirals whose propagation vectors can be described, depending on the lattice geometry, by points (triangular), lines (fcc), surfaces (frustrated diamond) or completely flat bands (pyrochlore). Here we demonstrate an exact mathematical correspondence of these spiral manifolds of classical antiferromagnets with the Fermi surfaces of free-fermion band structures. We provide an explicit lattice construction relating the frustrated spin model to a corresponding free-fermion tight-binding model. Examples of this correspondence relate the 120• order of the triangular lattice antiferromagnet to the Dirac nodal structure of the honeycomb tightbinding model or the spiral line manifold of the fcc antiferromagnet to the Dirac nodal line of the diamond tight-binding model. We discuss implications of topological band structures in the fermionic system to the corresponding classical spin system.

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Section: J1-j2 Heisenberg Modelsmentioning

confidence: 99%

Classical spin spirals in frustrated magnets from free-fermion band topology

Attig

Trebst

2017

Phys. Rev. B

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“…14 . If, however, we consider these two distinct types of next-nearest neighbor couplings, we find, both in a Luttinger-Tisza calculation for the classical limit as well as in our pf-FRG calculations for all spin S, a conventional, Néel ordered ground state that is accompanied by a finite-temperature transition for arbitrarily small tetragonal splitting of the next-nearest neighbor interactions.One possible way to defy this magnetic ordering tendency in the presence of a tetragonal distortion is to introduce a local single-ion spin anisotropy term ∼ D i S z i S z i as a novel source of frustration [35]. Indeed, we find in our pf-FRG calculations [36] that the latter stabilizes an extended paramagnetic phase where the system effectively decouples into single sites and thus exhibits a featureless spin structure factor as opposed to the quantum spiral spin liquid discussed above.…”

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confidence: 99%

“…One possible way to defy this magnetic ordering tendency in the presence of a tetragonal distortion is to introduce a local single-ion spin anisotropy term ∼ D i S z i S z i as a novel source of frustration [35]. Indeed, we find in our pf-FRG calculations [36] that the latter stabilizes an extended paramagnetic phase where the system effectively decouples into single sites and thus exhibits a featureless spin structure factor as opposed to the quantum spiral spin liquid discussed above.…”

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confidence: 99%

Quantum Spin Liquids in Frustrated Spin-1 Diamond Antiferromagnets

2018

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Motivated by the recent synthesis of the spin-1 A-site spinel NiRh2O4, we investigate the classical to quantum crossover of a frustrated J1-J2 Heisenberg model on the diamond lattice upon varying the spin length S. Applying a recently developed pseudospin functional renormalization group (pf-FRG) approach for arbitrary spin-S magnets, we find 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 (order-by-disorder) transition. For smaller local moments S=1 or S=1/2 we find that the system evades a thermal ordering transition and forms a quantum spiral spin liquid where the fluctuations are restricted to characteristic momentum-space surfaces. For the tetragonal phase of NiRh2O4, a modified J1-J − 2 -J ⊥ 2 exchange model is found to favor a conventionally ordered Néel state (for arbitrary spin S) even in the presence of a strong local single-ion spin anisotropy and it requires additional sources of frustration to explain the experimentally observed absence of a thermal ordering transition.In the field of frustrated magnetism, spinel compounds of the form AB 2 X 4 (with X=O, Se, S) have long been appreciated as a source of novel physical phenomena [1]. Bsite spinels with magnetic B ions and non-magnetic A ions, such as ACr 2 O 4 or AV 2 O 4 (with A=Mg, Zn, Cd), realize pyrochlore antiferromagnets where geometric frustration manifests itself in a vastly suppressed ordering temperature relative to the Curie-Weiss temperature. Conceptually, the pyrochlore Heisenberg antiferromagnet is a paradigmatic example of a three-dimensional spin liquid [2,3], in both its classical [4,5] and quantum [6,7] [9,10] that, similar to the B-site spinels, exhibit a dramatic suppression of their ordering temperature. At first sight counterintuitive due to the unfrustrated nature of the diamond lattice, it was conceptualized [11] that a sizable nextnearest neighbor coupling (connecting spins on the fcc sublattices of the diamond lattice) induces strong geometric frustration. Indeed it could be shown that the classical Heisenberg model with both nearest and next-nearest neighbor exchangeexhibits highly-degenerate coplanar spin spiral ground states for antiferromagnetic J 2 > |J 1 |/8. Describing a single coplanar spin spiral by a momentum vector q (indicating its direction and pitch), the degenerate ground-state manifold can be captured by a set of q vectors that span a "spin spiral surface" in momentum space [11] as illustrated in Fig. 1. While these spiral surfaces bear a striking resemblance to Fermi surfaces [12], they are considerably more delicate objects that can be easily destroyed by small perturbations to the Hamiltonian (1) (such as further interactions) or even by fluctuations [11,13] that will induce an order-by-disorder transition into a simple magnetically ordered state (typically captured by a single q vector). Such a description of the magnetism of A-site spinels in terms of classical local moments has proved sufficient to...

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“…Such an arrangement may give rise to a topological state not electronic in nature, but rather magnetic: a topological paramagnet. Other work suggests that such a quantum magnet might instead host a quantum paramagnetic state [25,26]. * mcqueen@jhu.edu FIG.…”

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confidence: 99%

Frustrated spin one on a diamond lattice in NiRh2O4

Chamorro

Flynn

et al. 2018

Phys. Rev. Materials

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We report the discovery of a spin one diamond lattice in NiRh2O4. This spinel undergoes a cubic to tetragonal phase transition at T = 440 K that leaves all nearest neighbor interactions equivalent. In the tetragonal phase, magnetization measurements show a Ni 2+ effective moment of p eff = 3.3(1) and dominant antiferromagnetic interactions with ΘCW = -11.3(7) K. No phase transition to a longrange magnetically ordered state is observed by specific heat measurements down to T = 0.1 K. Inelastic neutron scattering measurements on sub-stoichiometric NiRh2O4 reveal possible valencebond behavior and show no visible signs of magnetic ordering. NiRh2O4 provides a platform on which to explore the previously unknown and potentially rich physics of spin one interacting on the diamond lattice, including the realization of theoretically predicted quantum spin liquid and topological paramagnet states. arXiv:1701.06674v2 [cond-mat.str-el]

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Quantum paramagnet and frustrated quantum criticality in a spin-one diamond lattice antiferromagnet

Cited by 30 publications

References 45 publications

Classical spin spirals in frustrated magnets from free-fermion band topology

Classical spin spirals in frustrated magnets from free-fermion band topology

Quantum Spin Liquids in Frustrated Spin-1 Diamond Antiferromagnets

Frustrated spin one on a diamond lattice in NiRh2O4

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