Triangular antiferromagnet as a biaxial quantum fluid

Ritchey, I.; Coleman, Piers

doi:10.1088/0953-8984/2/46/023

Cited by 10 publications

(4 citation statements)

References 27 publications

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“…We note that the phase diagram of the model was studied previously by using a series expansion technique, linear spin density wave and SP(N) mean field theory etc. 3,5,6,12 In the method of series expansion, they found a Néel state persisting down to J ′ /J > 1.43, and predicts a spiral phase at small ratio of J ′ /J. These are consistent with our MFT.…”

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confidence: 83%

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Antiferromagnetic Heisenberg model on an anisotropic triangular lattice in the presence of a magnetic field

Shen

Zhang

2002

Phys. Rev. B

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We use Schwinger boson mean field theory to study the antiferromagnetic spin-1/2 Heisenberg model on an anisotropic triangular lattice in the presence of a uniform external magnetic field. We calculate the field dependence of the spin incommensurability in the ordered spin spiral phase, and compare the results to the recent experiments in Cs2CuCl4 by Coldea et al. (Phys. Rev. Lett. 86, 1335(2001).

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supporting

confidence: 83%

“…11 The method was extended to study the frustrated lattices by many authors. 12 (For an overview of Schwinger boson theory, see Ref. [2] and references therein.)…”

mentioning

confidence: 99%

Antiferromagnetic Heisenberg model on an anisotropic triangular lattice in the presence of a magnetic field

Shen

Zhang

2002

Phys. Rev. B

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“…5,6 In the presence of magnetic order, fluctuations in the twist director are constrained to lie in a plane perpendicular to the magnetization; in two dimensions, the resulting x ->>-like behavior in T leads to suppression of the fluctuation renormalizations and to a finite-temperature SO(3) vortex transition. 7 In this paper we examine the effect of quantum fluctuations at zero temperature in frustrated, two-dimensional quantum helimagnets.…”

Section: Q a E(xx')=(s A (X)shx'))-{5 A Hs(x)'s(x'))mentioning

confidence: 99%

Quantum spin nematics: Moment-free magnetism

1991

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Treating antiferromagnetism as a spin superfluid, we discuss the possibility of moment-free magnetism. Specifically, we show that large quantum fluctuations induce an anisotropy in Heisenberg spiral structures, driving a biaxial-uniaxial transition to a spin nematic; this state is characterized by tensor spin order and a gapless Goldstone mode of spin-pair excitations. Experimental signatures and realizations of this phenomena are suggested. PACS numbers: 75.10.Jm, 74.65.+n, 75.30.-m, 75.50.EeThe essence of broken rotational symmetry in Heisenberg systems is a finite spin stiffness; specifically, the development of a local moment is not a necessary condition for spin superfluidity. The ID half-integer Heisenberg spin chain, a superfluid spin system at criticality, provides a well-known example. 1 In this paper we discuss another "moment-free magnet," the spin nematic, characterized by long-range order in the tensor order parameter

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“…Evidence of the formation of the phase of coexisting superconductivity and helicoidal or noncollinear magnetic order (SC+NCM) has been found in ternary rareearth borides and chalcogenides, for example, HoMo [250], κ-(BEDT-TTF) 2 X [251]. They are conducive to the appearance of the SC+NCM phase, because the frustration of the triangular lattice facilitates the realization of a noncollinear structure during the formation of magnetic order-ing [252][253][254][255][256][257]. We note that competition between the nearest-neighbor and subsequent exchanges can also lead to helicoidal magnetic ordering [258].…”

Section: Introduction To the Problemmentioning

confidence: 99%

Topological superconductivity and Majorana states in low-dimensional systems

Val'kov,

Shustin,

Aksenov

et al. 2022

Preprint

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We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, the criteria for the appearance of elementary Majorana-type excitations in solids, and the corresponding principles and experimental methods for identifying Majorana bound states (MBSs).Along with the well-known Kitaev chain and superconducting nanowire (SW) models with spin-orbit coupling in an external magnetic field, we discuss models of quasi-two-dimensional materials in which MBSs are realized in the presence of noncollinear spin ordering. For finite-length SWs, we demonstrate a cascade of quantum transitions occurring with a change in the magnetic field, accompanied by a change in the fermion parity of the ground state. The corresponding anomalous behavior resonances and the spatial structure of the lowest-energy SW state. The conditions for the occurrence of an MBS in the phase of the coexistence of chiral d + id superconductivity and 120-degree spin ordering are determined in the framework of the t − J − V model on a triangular lattice. We take electron-electron interactions into account in discussing the topological invariants of low-dimensional superconducting materials with noncollinear spin ordering. The formation of Majorana modes in regions with an odd value of a topological Z invariant is demonstrated. The spatial structure of these excitations in the Hubbard fermion ensemble is determined.

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Triangular antiferromagnet as a biaxial quantum fluid

Cited by 10 publications

References 27 publications

Antiferromagnetic Heisenberg model on an anisotropic triangular lattice in the presence of a magnetic field

Antiferromagnetic Heisenberg model on an anisotropic triangular lattice in the presence of a magnetic field

Quantum spin nematics: Moment-free magnetism

Topological superconductivity and Majorana states in low-dimensional systems

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