Quantum spin liquid states

Zhou, Yi; Kanoda, K.; Ng, Tai Kai

doi:10.1103/revmodphys.89.025003

Cited by 1,219 publications

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“…In half-filled systems, the strong on-site Coulomb interaction U exceeding the bandwidth W prevents electrons from doubly occupying a site, and drives the system into a Mott insulating state. Although Mott insulators typically exhibit magnetic order at low temperatures, spin frustration in a triangular-lattice system is theoretically expected to prevent magnetic ordering and to lead to an exotic spin state 1 . Indeed, several materials with quasi-triangular lattices have been found to host spin liquids without magnetic ordering 2, 3 .…”

Section: Introductionmentioning

confidence: 99%

“…1) 11 . The spin liquid nature of κ -Cu 2 (CN) 3 has been intensively studied and is revealed to contain unexpected features such as field-induced inhomogeneity and the so-called 6K-anomalies, suggesting still unknown but fertile phenomena underlying in the spin liquid state 1, 12 . In the insulating layers, the Hg ions form a sub-lattice incommensurate with the Br and ET sub-lattice.…”

Section: Introductionmentioning

confidence: 99%

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Anomalous metallic behaviour in the doped spin liquid candidate κ-(ET)4Hg2.89Br8

et al. 2017

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Quantum spin liquids are exotic Mott insulators that carry extraordinary spin excitations. Therefore, when doped, they are expected to afford metallic states with unconventional magnetic excitations. Here, we report experimental results which are suggestive of a doped spin liquid with anomalous metallicity in a triangular-lattice organic conductor. The spin susceptibility is nearly perfectly scaled to that of a non-doped spin liquid insulator in spite of the metallic state. Furthermore, the charge transport that is confined in the layer at high temperatures becomes sharply deconfined on cooling, coinciding with the rapid growth of spin correlations or coherence as signified by a steep decrease in spin susceptibility. The present results substantiate the desired doped spin liquid and suggest a strange metal, in which the coherence of the underlying spin liquid promotes the deconfinement of charge from the layers while preserving the non-Fermi-liquid nature.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anomalous metallic behaviour in the doped spin liquid candidate κ-(ET)4Hg2.89Br8

et al. 2017

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“…Many distinct QSL states have been proposed theoretically [3,4] and classified according to their nonlocal (topological) properties [5]. 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.…”

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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“…Such a local order parameter is considered as the key quantity for description of exotic magnetic phases [4]. In contemporary language, O c is referred to as "scalar chiral spin order" and the state of matter with (spontaneously) broken time-reversal and parity symmetries but with conserved spin rotational symmetry is called Chiral Spin Liquid (CSL) [6]. The seminal example possessing the CSL symmetry is the Kalmeyer-Laughlin model [7][8][9][10].…”

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Chiral Spin Order in Kondo-Heisenberg Systems

Tsvelik

Yevtushenko

2017

Phys. Rev. Lett.

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We demonstrate that Kondo-Heisenberg systems, consisting of itinerant electrons and localized magnetic moments (Kondo impurities), can be used as a principally new platform to realize scalar chiral spin order. The underlying physics is governed by a competition of the Ruderman-KittelKosuya-Yosida (RKKY) indirect exchange interaction between the local moments with the direct Heisenberg one. When the direct exchange is weak and RKKY dominates the isotropic system is in the disordered phase. A moderately large direct exchange leads to an Ising-type phase transition to the phase with chiral spin order. Our finding paves the way towards pioneering experimental realizations of the chiral spin liquid in low dimensional systems with spontaneously broken time reversal symmetry.PACS numbers: 75.30. Hx, 71.10.Pm, 72.15.Nj Interactions between magnetic moments usually lead to some kind of magnetic order where rotational symmetry is broken and the order parameter is linear in spins [1]. This is what happens in ferromagnets, antiferromagnets and all sorts of helimagnets. Villain has demonstrated [2] that, in addition to the magnetic order, helical magnets possess a vector chiral order parameter. It is bilinear in spins and is related to the mutual orientation of neighboring spins. This chiral order breaks the discrete symmetry and can exist even without the magnetic order [3]. The discovery of the vector chiral order has given rise to the idea that there could exist an order which includes a combination of three spins. The corresponding order parameter is a mixed product of three neighboring spins, see O c in Eq.(1) below and Refs. [4,5]. It breaks time-reversal and parity symmetries. Such a local order parameter is considered as the key quantity for description of exotic magnetic phases [4]. In contemporary language, O c is referred to as "scalar chiral spin order" and the state of matter with (spontaneously) broken time-reversal and parity symmetries but with conserved spin rotational symmetry is called Chiral Spin Liquid (CSL) [6]. The seminal example possessing the CSL symmetry is the Kalmeyer-Laughlin model [7][8][9][10]. Its wave functions demonstrate the topological behavior inherent in the fractional quantum Hall effect. Thus, the Kalmeyer-Laughlin model links spin liquids and topologically nontrivial states [11][12][13][14][15][16] and can be called "topological CSL". An increasing interest in the topological CSL [17][18][19][20][21][22][23] has been stimulated, in part, by a search for exotic (anyon) superconductivity [24,25] and by the physics of skyrmions [26][27][28][29]. The latter can be realized in magnets with the chirality resulting either from the lattice structure or from the Dzyaloshinskii-Moriya interaction [30][31][32][33].Although the concept of CSL and its order parameter O c were introduced in the 80-ties, it still remains unclear (color on-line) Competition between two different spin interactions in KHS: The spin on each lattice site is decomposed in terms of an orthonormal triad e1,2,3 (green ar...

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Quantum spin liquid states

Cited by 1,219 publications

References 333 publications

Anomalous metallic behaviour in the doped spin liquid candidate κ-(ET)4Hg2.89Br8

Anomalous metallic behaviour in the doped spin liquid candidate κ-(ET)4Hg2.89Br8

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

Chiral Spin Order in Kondo-Heisenberg Systems

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