One- and Two-Triplon Spectra of a Cuprate Ladder

Notbohm, S.; Ribeiro, Patrick; Lake, B.; Tennant, A.; Schmidt, K. P.; Uhrig, Götz S.; Heß, Christian; Klingeler, R.; Behr, G.; Büchner, B.; Reehuis, M.; Bewley, Robert; Frost, Christopher; Manuel, Pascal; Eccleston, R.S.

doi:10.1103/physrevlett.98.027403

Cited by 119 publications

(129 citation statements)

References 30 publications

Supporting

Mentioning

114

Contrasting

Order By: Relevance

“…It has been found to be important in several materials such as two-leg ladder compound La x Ca 14−x Cu 24 O 41 , [1][2][3][4] two-dimensional antiferromagnet La 2 CuO 4 , 5,6 magnetism of two-dimensional quantum solids, e.g., solid 3 He films, 7 and Wigner crystals. 8 Four-spin ring exchange plays an essential role in several models to give rise to exotic phases due to its frustration, e.g., the vector-chirality phases, 9 nematic orderings, 10 and octapolar order.…”

Section: Introductionmentioning

confidence: 99%

Topological identification of a spin-12two-leg ladder with four-spin ring exchange

2009

View full text Add to dashboard Cite

A spin-1 2 two-leg ladder with four-spin ring exchange is studied by quantized Berry phases, used as localorder parameters. Reflecting local objects, nontrivial ͑͒ Berry phase is founded on a rung for the rung-singlet phase and on a plaquette for the vector-chiral phase. Since the quantized Berry phase is topologically invariant for gapped systems with the time-reversal symmetry, topologically identical models can be obtained by the adiabatic modification. The rung-singlet phase is adiabatically connected to a decoupled rung-singlet model and the vector-chiral phase is connected to a decoupled vector-chiral model. Decoupled models reveal that the local objects are a local singlet and a plaquette singlet, respectively.

show abstract

Section: Introductionmentioning

confidence: 99%

Topological identification of a spin-12two-leg ladder with four-spin ring exchange

2009

View full text Add to dashboard Cite

show abstract

“…Only a handful of experimental realizations of the ladder model have been found to date. Unfortunately, while some of these, like IPA-CuCl 3 [10,11], are not perfectly one-dimensional, others, like La; Ca; Sr 14 Cu 24 O 41 [12,13], have energy scales and phase diagrams that can not be accessed in an experiment. The search for new prototype materials continues.…”

mentioning

confidence: 99%

Excitations in a Four-Leg Antiferromagnetic Heisenberg Spin Tube

et al. 2008

View full text Add to dashboard Cite

Inelastic neutron scattering is used to investigate magnetic excitations in the quasi-one-dimensional quantum spin-liquid system Cu 2 Cl 4 D 8 C 4 SO 2 . Contrary to previously conjectured models that relied on bond-alternating nearest-neighbor interactions in the spin chains, the dominant interactions are actually next-nearest-neighbor in-chain antiferromagnetic couplings. The appropriate Heisenberg Hamiltonian is equivalent to that of a S 1=2 4-leg spin-tube with almost perfect one dimensionality and no bond alternation. A partial geometric frustration of rung interactions induces a small incommensurability of short-range spin correlations.

show abstract

“…In the Luttinger liquid case an impurity has the same effects at low energies as a physical boundary 12 , which motivated studies of the LDOS in the vicinity of a chain end. The case of strongly correlated one-dimensional (1D) systems with spin or charge gaps is of considerable interest as well and pertains to quasi 1D charge density wave (CDW) systems 13 and Mott insulators 14,15 , carbon nanotubes 16 , (doped) two-leg ladder materials 17,18 , and the stripe phases of HTSC 19 . As compared to the Luttinger liquid case the presence of an interaction-induced gap makes these problems much more difficult to treat theoretically.…”

mentioning

confidence: 99%

Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states

et al. 2011

View full text Add to dashboard Cite

We determine the local density of states (LDOS) for spin-gapped one-dimensional charge density wave (CDW) states and Mott insulators in the presence of a hard-wall boundary. We calculate the boundary contribution to the single-particle Green function in the low-energy limit using field theory techniques and analyze it in terms of its Fourier transform in both time and space. The boundary LDOS in the CDW case exhibits a singularity at momentum 2kF, which is indicative of the pinning of the CDW order at the impurity. We further observe several dispersing features at frequencies above the spin gap, which provide a characteristic signature of spin-charge separation. This demonstrates that the boundary LDOS can be used to infer properties of the underlying bulk system. In presence of a boundary magnetic field mid-gap states localized at the boundary emerge. We investigate the signature of such bound states in the LDOS. We discuss implications of our results on STM experiments on quasi-1D systems such as two-leg ladder materials like Sr14Cu24O41. By exchanging the roles of charge and spin sectors, all our results directly carry over to the case of one-dimensional Mott insulators.

show abstract

One- and Two-Triplon Spectra of a Cuprate Ladder

Cited by 119 publications

References 30 publications

Topological identification of a spin-12two-leg ladder with four-spin ring exchange

Topological identification of a spin-12two-leg ladder with four-spin ring exchange

Excitations in a Four-Leg Antiferromagnetic Heisenberg Spin Tube

Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states

Contact Info

Product

Resources

About