Extended Quantum Critical Phase in a Magnetized Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>Antiferromagnetic Chain

Stone, M. B.; Reich, Daniel H.; Broholm, C.; Lefmann, Kim; Rischel, Christian; Landee, Christopher P.; Turnbull, Mark M.

doi:10.1103/physrevlett.91.037205

Cited by 140 publications

(120 citation statements)

References 26 publications

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“…In this case, the dynamical structure factor shows no coherent excitation but an incoherent spectrum called two-spinon continuum, which reflects the range of energies corresponding to the different spinon pairs. Experimental evidence of the two-spinon continuum has been recently reported in quasi-1D systems such as CuP zN [12] or CDC [13], and the quantum spin ladder (C 5 D 12 N ) 2 CuBr 4 [14], as well as in more complex spin-half compounds like the square ladder CaCu 2 O 3 [15], or the two-dimensional triangular lattice Cs 2 CuCl 4 [16].…”

Section: Beyond Spin Wavesmentioning

confidence: 99%

Numerical simulations and magnetism

Petit

2011

JDN

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Section: Beyond Spin Wavesmentioning

confidence: 99%

Numerical simulations and magnetism

Petit

2011

JDN

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“…Their detection, however, remains a central challenge for condensed matter physics [6], and relies on the presence of quantum entanglement in their ground state and fractional quasiparticles in their excitation spectra. While the former can be checked by numerics [7], the latter can be experimentally detected by thermodynamic techniques [8][9][10] or spectroscopic probes such as inelastic neutron scattering [11][12][13][14][15][16][17] and electronspin resonance [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Hierarchy of Exchange Interactions in the Triangular-Lattice Spin Liquid YbMgGaO4

et al. 2018

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The spin-1=2 triangular lattice antiferromagnet YbMgGaO 4 has attracted attention recently as a quantum spin-liquid candidate with the possible presence of off-diagonal anisotropic exchange interactions induced by spin-orbit coupling. Whether a quantum spin liquid is stabilized or not depends on the interplay of various exchange interactions with chemical disorder that is inherent to the layered structure of the compound. We combine time-domain terahertz spectroscopy and inelastic neutron scattering measurements in the field-polarized state of YbMgGaO 4 to obtain better insight of its exchange interactions. Terahertz spectroscopy in this fashion functions as a high-field electron spin resonance and probes the spin-wave excitations at the Brillouin zone center, ideally complementing neutron scattering. A global spin-wave fit to all our spectroscopic data at fields over 4 T, informed by the analysis of the terahertz spectroscopy linewidths, yields constraints on the disorder-averaged g factors and exchange interactions. Our results paint YbMgGaO 4 as an easy-plane XXZ antiferromagnet with the combined and necessary presence of subleading next-nearest neighbor and weak anisotropic off-diagonal nearest-neighbor interactions. Moreover, the obtained g factors are substantially different from previous reports. This work establishes the hierarchy of exchange interactions in YbMgGaO 4 from high-field data alone and thus strongly constrains possible mechanisms responsible for the observed spin-liquid phenomenology.

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“…28). The qualitative characteristics of two-spinon excitations, a continuum-like spectrum with linearly dispersing low-energy onset, are evidenced by inelastic neutron scattering on numerous compounds [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] . Among them, there are various quantitative attempts of an absolute comparison to theory 30,37,41 .…”

mentioning

confidence: 99%

Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain

et al. 2013

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One of the simplest quantum many-body systems is the spin-1/2 Heisenberg antiferromagnetic chain, a linear array of interacting magnetic moments. Its exact ground state is a macroscopic singlet entangling all spins in the chain. Its elementary excitations, called spinons, are fractional spin-1/2 quasiparticles created and detected in pairs by neutron scattering. Theoretical predictions show that two-spinon states exhaust only 71% of the spectral weight and higher-order spinon states, yet to be experimentally located, are predicted to participate in the remaining. Here, by accurate absolute normalization of our inelastic neutron scattering data on a spin-1/2 Heisenberg antiferromagnetic chain compound, we account for the full spectral weight to within 99(8)%. Our data thus establish and quantify the existence of higher-order spinon states. The observation that, within error bars, the experimental line shape resembles a rescaled two-spinon one with similar boundaries allows us to develop a simple picture for understanding multi-spinon excitations.O ne hundred years ago, Max von Laue and co-workers discovered X-ray diffraction 1 , thereby giving birth to the field of crystallography to which we owe much of our understanding of materials on the atomic scale. The very first diffraction image was recorded from a single crystal of copper sulphate pentahydrate 1,2 . In addition to vast practical use including herbicide, wood impregnation and algae control in swimming pools, copper sulphate also carries great educational importance. Generations of school children have been inspired in chemistry classes across the globe by growing from evaporating solution beautiful blue crystals of copper sulphate (in 2008, artist Roger Hiorns created an installation called Seizure 3 covering an entire apartment in copper sulphate crystals). When cooled close to absolute zero temperature, copper sulphate has even more fascinating lessons to teach-it becomes a quantum spin liquid. Moreover, it materializes one of the simplest models hosting complex quantum many-body physics, the one-dimensional spin-1/2 Heisenberg antiferromagnet, for which there exists an exact analytic solution-namely the Bethe ansatz 4 . Quantum spin liquid ground states entangle a macroscopic number of spins and give rise to astonishing and counterintuitive phenomena. Quantum spin liquids occur in a variety of contexts ranging from the quantum spin Hall effect 5,6 and high-T c superconductivity 7-9 to confined ultracold gases and carbon nanotubes 10 . A particularly clear form of a gapless algebraic quantum spin liquid is realized in a one-dimensional array of spins-1/2 that are coupled by nearest-neighbour isotropic exchange, the spin-1/2 Heisenberg antiferromagnetic chain. At zero temperature, this spin liquid is critical with respect to long-range antiferromagnetic order as well as with respect to dimerization 11,12 . Its emerging gapless fractionalized excitations are called spinons 13 . The concept of fractional excitations has been applied to magnetic monopoles ...

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Extended Quantum Critical Phase in a Magnetized Spin-12Antiferromagnetic Chain

Cited by 140 publications

References 26 publications

Numerical simulations and magnetism

Numerical simulations and magnetism

Hierarchy of Exchange Interactions in the Triangular-Lattice Spin Liquid YbMgGaO4

Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain

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