Multipolar phase in frustrated spin-1/2 and spin-1 chains

Parvej, Aslam; Kumar, Manoranjan

doi:10.1103/physrevb.96.054413

Cited by 23 publications

(12 citation statements)

References 65 publications

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“…In a geometrically frustrated system wavevector or the pitch angle of a non-collinear spin ordering, in general, depends on the competing exchange interactions [60][61][62] and therefore, it is important to understand behaviour of pitch angle θ in various exchange interaction limits to quantify spin modulation in terms of the pitch angle Q x and Q y . Fig.…”

Section: Pitch Anglementioning

confidence: 99%

Quantum phases of ferromagnetically coupled dimers on Shastry-Sutherland lattice

Chatterjee¹,

Pal²,

Kumar³

2021

Preprint

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The ground state (gs) of antiferromagnetically coupled dimers on the Shastry-Sutherland lattice (SSL) stabilizes many exotic phases and has been extensively studied. The gs properties of ferromagnetically coupled dimers on SSL are equally important but unexplored. In this model the exchange coupling along the x-axis (Jx) and y-axis (Jy) are ferromagnetic and the diagonal exchange coupling (J) is antiferromagnetic. In this work we explore the quantum phase diagram of ferromagnetically coupled dimer model numerically using density matrix renormalization group (DMRG) method. We note that in Jx-Jy parameter space this model exhibits six interesting phases:(I) stripe (0, π), (II) stripe (π, 0), (III) perfect dimer, (IV) X-spiral, (V) Y -spiral and (VI) ferromagnetic phase. Phase boundaries of these quantum phases are determined using the correlation functions and gs energies. We also notice the correlation length in this system is less than four lattice units in most of the parameter regimes. The non-collinear behaviour in X-spiral and Y -spiral phase and the dependence of pitch angles on model parameters are also studied.

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Section: Pitch Anglementioning

confidence: 99%

Quantum phases of ferromagnetically coupled dimers on Shastry-Sutherland lattice

Chatterjee¹,

Pal²,

Kumar³

2021

Preprint

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“…Good fits are obtained at low H or high T . DMRG yields the ground state magnetization M (0, H) for N > 100 spins [20]. Models with isotropic exchange and scalar g have a sharp fieldinduced transition at 0 K to the ferromagnetic state with fully aligned spins.…”

Section: Spin Specific Heat and Magnetizationmentioning

confidence: 99%

Spin-specific heat determination of the ratio of competing first- and second-neighbor exchange interactions in frustrated spin- 12 chains

et al. 2018

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The magnetic susceptibility χ(T ) of spin-1/2 chains is widely used to quantify exchange interactions, even though χ(T ) is similar for different combinations of ferromagnetic J1 between first neighbors and antiferromagnetic J2 between second neighbors. We point out that the spin specific heat C(T ) directly determines the ratio α = J2/|J1| of competing interactions. The J1 − J2 model is used to fit the isothermal magnetization M (T, H) and C(T, H) of spin-1/2 Cu(II) chains in LiCuSbO4. By fixing α, C(T ) resolves the offsetting J1, α combinations obtained from M (T, H) in cuprates with frustrated spin chains.

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“…The frustration in these magnetic systems can give rise to many exotic phases in the ground state (gs) like the gapless spin liquid 2,5-7,9,10 , dimer 1-11 and spiral phases 3,5,7,8,10,12 , in the absence of an applied magnetic field B. These systems become a veritable zoo of phases in the presence of a finite magnetic field B 8, [13][14][15][16][17][18][19] ; for example a system with exchange interactions J 1 ferromagnetic and J 2 antiferromagnetic shows multi-magnon condensation 14,15,[20][21][22] , vector chiral phase 3,14,15,22 and magnetization plateaus 18,23,24 . In addition to a magnetization plateau phase, frustrated systems can also show kinks and jumps in magnetization 18 .…”

Section: Introductionmentioning

confidence: 99%

Magnetization plateaus of spin-$\mathbf{\frac{1}{2}}$ system on a 5/7 skewed ladder

Dey,

Das,

Kumar

et al. 2020

Preprint

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Magnetization plateaus are some of the most striking manifestations of frustration in lowdimensional spin systems. We present numerical studies of magnetization plateaus in the fascinating spin-1/2 skewed ladder system obtained by alternately fusing five-and seven-membered rings. This system exhibits three significant plateaus at m = 1/4, 1/2 and 3/4, consistent with Oshikawa-Yamanaka-Affleck condition. Our numerical as well as perturbative analysis show that the ground state can be approximated by three weakly coupled singlet dimers and two free spins, in the absence of a magnetic field. With increasing applied magnetic field, the dimers progressively become triplets with large energy gaps to excited states, giving rise to stable magnetization plateaus. Finite temperature studies show that m = 1/4 and 1/2 plateaus are robust and survive thermal fluctuations while m = 3/4 plateau shrinks rapidly due to thermal noise. The cusps at the ends of a plateau follow the algebraic square root dependence on B.

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Multipolar phase in frustrated spin-1/2 and spin-1 chains

Cited by 23 publications

References 65 publications

Quantum phases of ferromagnetically coupled dimers on Shastry-Sutherland lattice

Quantum phases of ferromagnetically coupled dimers on Shastry-Sutherland lattice

Spin-specific heat determination of the ratio of competing first- and second-neighbor exchange interactions in frustrated spin- 12 chains

Magnetization plateaus of spin-$\mathbf{\frac{1}{2}}$ system on a 5/7 skewed ladder

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