Inelastic Neutron Scattering Signal from Deconfined Spinons  in a Fractionalized Antiferromagnet

Lannert, Courtney; Fisher, Matthew P. A.

doi:10.1142/s0217979203015802

Cited by 9 publications

(12 citation statements)

References 15 publications

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“…(6) can be obtained using S = S 1 +S 2 only, simply neglecting the remaining off-diagonal terms. Similarly, the diagonal terms in the 3rd-order Hamiltonian H (3) ef f are all generated by S 1 alone. This is because the original Hubbard Hamiltonian does not contain any "bare" off-diagonal terms of order higher than t. All such higher-order off-diagonal terms are the result of commutations of T -terms.…”

Section: Methodsmentioning

confidence: 99%

“…5,6 These terms can alter the basic properties of excitations, 3 or shift the balance towards a new ground state. 4 In addition, an accurate description of the experimentally observed 7 spectral weight transfer over the Mott scale also necessitates high order corrections in the hopping energy.…”

Section: 234mentioning

confidence: 99%

“…is the component of the third-order eigenstate |ψ (3) in the singly-occupied, m = 0 subspace: (3) . Note that, as usual, the order t n−1 in the expansion of the eigenvector |ψ correspond to the order t n in the matrix elements of the Hamiltonian and of the corresponding energy.…”

Section: (15)mentioning

confidence: 99%

“…30 That is, one computes the first-order E (1) using zeroth-order eigenstates |ψ (0) , the second-order theory H (2) is formulated with the firstorder basis |ψ (1) , etc. Thus, for the fourth-order effective Hamiltonian we will need |ψ (3) . Another detail concerns the explicit dependence of |ψ (2) and |ψ (3) in Eqs.…”

Section: (15)mentioning

confidence: 99%

“…Thus, for the fourth-order effective Hamiltonian we will need |ψ (3) . Another detail concerns the explicit dependence of |ψ (2) and |ψ (3) in Eqs. (18), (19) on the energy E. This issue will be resolved later by evaluating E in iterative manner.…”

Section: (15)mentioning

confidence: 99%

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Higher order corrections to effective low-energy theories for strongly correlated electron systems

et al. 2004

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Three well-known perturbative approaches to deriving low-energy effective theories, the degenerate Brillouin-Wigner perturbation theory (projection method), the canonical transformation, and the resolvent methods are compared. We use the Hubbard model as an example to show how, to fourth order in hopping t, all methods lead to the same effective theory, namely the t-J model with ring exchange and various correlated hoppings. We emphasize subtle technical difficulties that make such a derivation less trivial to carry out for orders higher than second. We also show that in higher orders, different approaches can lead to seemingly different forms for the low-energy Hamiltonian. All of these forms are equivalent since they are connected by an additional unitary transformation whose generator is given explicitly. The importance of transforming the operators is emphasized and the equivalence of their transformed structure within the different approaches is also demonstrated.

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Section: Methodsmentioning

confidence: 99%

Section: 234mentioning

confidence: 99%

Section: (15)mentioning

confidence: 99%

Section: (15)mentioning

confidence: 99%

Section: (15)mentioning

confidence: 99%

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Higher order corrections to effective low-energy theories for strongly correlated electron systems

et al. 2004

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Thermal transport of fractionalized antiferromagnetic and field-induced states in the Kitaev material Na2Co2TeO6

Guang

Luo

et al. 2023

Phys. Rev. B

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Extended scattering continua characteristic of spin fractionalization in the two-dimensional frustrated quantum magnetCs2CuCl4observed by neutron sc

2003

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The magnetic excitations of the quasi-2D spin-1/2 frustrated Heisenberg antiferromagnet Cs2CuCl4 are explored throughout the 2D Brillouin zone using high-resolution time-of-flight inelastic neutron scattering. Measurements are made both in the magnetically-ordered phase, stabilized at low temperatures by the weak inter-layer couplings, as well as in the spin liquid phase above the ordering temperature TN , when the 2D magnetic layers are decoupled. In the spin liquid phase the dynamical correlations are dominated by highly-dispersive excitation continua, a characteristic signature of fractionalization of S=1 spin waves into pairs of deconfined S=1/2 spinons and the hallmark of a resonating-valence-bond (RVB) state. The boundaries of the excitation continua have strong 2D-modulated incommensurate dispersion relations. Upon cooling below TN magnetic order in an incommensurate spiral forms due to the 2D frustrated couplings. In this phase sharp magnons carrying a small part of the total scattering weight are observed at low energies, but the dominant continuum scattering which occurs at medium to high energies is essentially unchanged compared to the spin liquid phase. Linear spin-wave theory including one-and two-magnon processes can describe the sharp magnon excitation, but not the dominant continuum scattering, which instead is well described by a parameterized two-spinon cross-section. Those results suggest a cross-over in the nature of the excitations from S=1 spin waves at low energies to deconfined S=1/2 spinons at medium to high energies, which could be understood if Cs2CuCl4 was in the close proximity of transition between a fractional RVB spin liquid and a magnetically ordered state. A large renormalization factor of the excitation energies (R=1.63(5)), indicating strong quantum fluctuations in the ground state, is obtained using the exchange couplings determined from saturation-field measurements. We provide an independent consistency check of this quantum renormalization factor using measurements of the second moment of the paramagnetic scattering.

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Inelastic Neutron Scattering Signal from Deconfined Spinons in a Fractionalized Antiferromagnet

Cited by 9 publications

References 15 publications

Higher order corrections to effective low-energy theories for strongly correlated electron systems

Higher order corrections to effective low-energy theories for strongly correlated electron systems

Thermal transport of fractionalized antiferromagnetic and field-induced states in the Kitaev material Na2Co2TeO6

Extended scattering continua characteristic of spin fractionalization in the two-dimensional frustrated quantum magnetCs2CuCl4observed by neutron sc

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