Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic

Nandkishore, Rahul; Choi, Wonjune; Kim, Yong Baek

doi:10.1103/physrevresearch.3.013254

Cited by 40 publications

(24 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Based on this observation, the extensive entropy of such close-packed patterns engenders a liquid phase where the dimer and plaquette patterns strongly fluctuate. Such anisotropic power-law correlation also result in the pinch point singularity in momentum space [33,35,46] which reflects the Gauss-law constraint in Eq. 2.…”

Section: Plaquette-dimer Coverings Of the Cubic Latticementioning

confidence: 88%

See 1 more Smart Citation

Fractonic plaquette-dimer liquid beyond renormalization

You¹,

Moessner²

2021

Preprint

View full text Add to dashboard Cite

We consider close-packed tiling models of geometric objects-a mixture of hardcore dimers and plaquettes-as a generalisation of the familiar dimer models. Specifically, on an anisotropic cubic lattice, we demand that each site be covered by either a dimer on a z-link or a plaquette in the x − y plane. The space of such fully packed tilings has an extensive degeneracy. This maps onto a fractontype 'higher-rank electrostatics', which can exhibit a plaquette-dimer liquid and an ordered phase. We analyse this theory in detail, using height representations and T-duality to demonstrate that the concomitant phase transition occurs due to the proliferation of dipoles formed by defect pairs. The resultant critical theory can be considered as a fracton version of the Kosterlitz-Thouless transition. A significant new element is its UV-IR mixing, where the low energy behavior of the liquid phase and the transition out of it is dominated by local (short-wavelength) fluctuations, rendering the critical phenomenon beyond the renormalization group paradigm.

show abstract

Section: Plaquette-dimer Coverings Of the Cubic Latticementioning

confidence: 88%

“…In Ref. [20,23], it was demonstrated that the plaquette tiling constraint could be interpreted as a higher-rank gauge theory [31][32][33][34][35] whose charge is conserved on a subdimensional manifold.…”

Section: Introductionmentioning

confidence: 99%

Fractonic plaquette-dimer liquid beyond renormalization

You¹,

Moessner²

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The exceptional ring could also be realized by depositing the material on a substrate with random magnetic disorder. Besides measurement of the dynamic structure factor, recent techniques using nonlinear spectroscopy [62][63][64][65][66] could also provide a more direct probe of the single-particle properties which would more directly reveal the exceptional degeneracies.…”

Section: States (For Details See Appendix F)mentioning

confidence: 99%

Exceptional dynamics of interacting spin liquids

Yang¹,

Varjas²,

Bergholtz³

et al. 2022

Preprint

View full text Add to dashboard Cite

We show that interactions in quantum spin liquids can result in non-Hermitian phenomenology that differs qualitatively from mean-field expectations. We demonstrate this in two prominent cases through the effects of phonons and disorder on a Kitaev honeycomb model. Using analytic and numerical calculations, we show the generic appearance of exceptional points and rings depending on the symmetry of the system. Their existence is reflected in dynamical observables including the dynamic structure function measured in neutron scattering. The results point to new phenomenological features in realizable spin liquids that must be incorporated into the analysis of experimental data.

show abstract

“…Recently, it has been suggested theoretically that two-dimensional coherent spectroscopy may be used to tackle the problem [5]. The two-dimensional coherent spectroscopy probes the nonlinear optical susceptibilities of a sample using two phase coherent, ultrafast optical pulses [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] The nonlinear responses are then plotted as a function of two frequency variables, resulting in a two-dimensional spec-trum. Analytical calculations show that the χ (3) response of the spinons contains an echo signal [23,24] (dubbed "spinon echo") [5], which appears in the two-dimensional spectrum as a highly anisotropic peak.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional coherent spectrum of interacting spinons from matrix-product states

Qi¹,

Liu²,

Liao³

et al. 2022

Preprint

View full text Add to dashboard Cite

We compute numerically the second and third order nonlinear magnetic susceptibilities of an Ising ladder model in the context of two-dimensional coherent spectroscopy by using the infinite time-evolving block decimation method. The Ising ladder model couples a quantum Ising chain to a bath of polarized spins, thereby effecting the decay of spinon excitations. We show that its third order susceptibility contains a robust spinon echo signal in the weak coupling regime, which appears in the two-dimensional coherent spectrum as a highly anisotropic peak in the frequency plane. The spinon echo peak reveals the dynamical properties of the spinons. In particular, the spectral peak corresponding to the high energy spinons, which couple to the bath, is suppressed with increasing coupling, whereas those do not show no significant changes.

show abstract

Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic

Cited by 40 publications

References 22 publications

Fractonic plaquette-dimer liquid beyond renormalization

Fractonic plaquette-dimer liquid beyond renormalization

Exceptional dynamics of interacting spin liquids

Two-dimensional coherent spectrum of interacting spinons from matrix-product states

Contact Info

Product

Resources

About