Monopole flux state on the pyrochlore lattice

Burnell, F. J.; Chakravarty, Shoibal; Sondhi, S. L.

doi:10.1103/physrevb.79.144432

Cited by 52 publications

(66 citation statements)

References 40 publications

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“…While the above estimates coming from mean field calculations must be taken in a qualitative sense, it shows that the present spin liquid saddle points are energetically competitive with the magnetically ordered ground state. On further comparison with other spin liquid states proposed on the pyrochlore lattice 20 , we find the present state fares quite well within the mean field approximation. This raises the possibility of stabilizing a spinon TI state in the present as well as related models (e.g., including further neighbours such as J 3 ).…”

Section: B Emergent Spin-orbit Coupling and Mean Field Spinon Hamiltsupporting

confidence: 82%

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Fractionalized topological insulators from frustrated spin models in three dimensions

et al. 2012

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We present the theory of a three dimensional fractionalized topological insulator in the form of a U (1) spin liquid with gapped fermionic spinons in the bulk and topologically protected gapless spinon surface states. Starting from a spin-rotation invariant spin-1/2 model on a pyrochlore lattice with frustrated antiferromagnetic and ferromagnetic exchange interactions, we show that decomposition of the latter interactions, within slave-fermion representation of the spins, can naturally give rise to an emergent spin-orbit coupling for the spinons by spontaneously breaking the spin rotation symmetry. The time reversal symmetry, however, is preserved. This stabilizes a fractionalized topological insulator which also has bulk bond spin-nematic order. We describe the low energy properties of this state.

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Section: B Emergent Spin-orbit Coupling and Mean Field Spinon Hamiltsupporting

confidence: 82%

“…For lower spin values (including S = 1/2), where quantum fluctuations are generally known to suppress magnetic order, a three dimensional spin liquid ground state is expected (Ref. 20 and references therein). Further, the pyrochlore lattice has 4-sub-lattice structure (see figure 1), i.e., it has four sites per unit cell.…”

Section: The Spin Modelmentioning

confidence: 99%

Fractionalized topological insulators from frustrated spin models in three dimensions

et al. 2012

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“…That is why, there exists a possibility of spreading of a local spin flip to other places due to non-Ising components of the particle-particle interaction [222,223,224,225,226,227,228,229,230,231,232]. In general, such a possibility can yield magnetic ordering, hence, the level of magnetic frustration for quantum spin ices is lower than for usual ones (sometimes called classical).…”

Section: Quantum Spin Icementioning

confidence: 98%

New physics in frustrated magnets: Spin ices, monopoles, etc. (Review Article)

Zvyagin

2013

Low Temperature Physics

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During recent years the interest to frustrated magnets has grown considerably. Such systems reveal very peculiar properties which distinguish them from standard paramagnets, magnetically ordered regular systems (like ferro-, ferri-, and antiferromagnets), or spin glasses. In particular great amount of attention has been devoted to the socalled spin ices, in which magnetic frustration together with the large value of the single-ion magnetic anisotropy of a special kind, yield peculiar behavior. One of the most exciting features of spin ices is related to low-energy emergent excitations, which, from many viewpoints can be considered as analogies of Dirac's monopoles. In this article we review the main achievements of theory and experiment in this field of physics.

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“…A large class of these magnets appear to exhibit gapless spin liquid behavior down to very low temperatures, leading to the exciting possibility that they may possess exotic ground states with fractionalized excitations. 5,6,7,8,9,10,11,12,13 Others among these have been proposed to weakly order into singlet valence bond solid (VBS) states which break lattice symmetries. 14,15,16,17 As yet, there is no clear picture of what combination of geometric effects and spin interactions will lead to spin liquid ground states or VBS ground states; this necessitates a theoretical and experimental exploration of various new lattice geometries as well as possible ring-exchange interactions beyond the simplest Heisenberg spin exchange interaction.…”

Section: Introductionmentioning

confidence: 99%

Competing quantum paramagnetic ground states of the Heisenberg antiferromagnet on the star lattice

2010

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We investigate various competing paramagnetic ground states of the Heisenberg antiferromagnet on the two dimensional star lattice which exhibits geometric frustration. Using slave particle mean field theory combined with a projective symmetry group analysis, we examine a variety of candidate spin liquid states on this lattice, including chiral spin liquids, spin liquids with Fermi surfaces of spinons, and nematic spin liquids which break lattice rotational symmetry. Motivated by connection to large-N SU(N) theory as well as numerical exact diagonalization studies, we also examine various valence bond solid (VBS) states on this lattice. Based on a study of energetics using Gutzwiller projected states, we find that a fully gapped spin liquid state is the lowest energy spin liquid candidate for this model. We also find, from a study of energetics using Gutzwiller projected wave functions and bond operator approaches, that this spin liquid is unstable towards two different VBS statesa VBS state which respects all the Hamitonian symmetries and a VBS state which exhibits √ 3 × √ 3 order -depending on the ratio of the Heisenberg exchange couplings on the two inequivalent bonds of the lattice. We compute the triplon dispersion in both VBS states within the bond operator approach and discuss possible implications of our work for future experiments on candidate materials.

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Monopole flux state on the pyrochlore lattice

Cited by 52 publications

References 40 publications

Fractionalized topological insulators from frustrated spin models in three dimensions

Fractionalized topological insulators from frustrated spin models in three dimensions

New physics in frustrated magnets: Spin ices, monopoles, etc. (Review Article)

Competing quantum paramagnetic ground states of the Heisenberg antiferromagnet on the star lattice

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