Absence of Long-Range Order in a Triangular Spin System with Dipolar Interactions

Physical Review Letters
Ahmet Keleş, Erhai Zhao

Abstract

The antiferromagnetic Heisenberg model on the triangular lattice is perhaps the best known example of frustrated magnets, but it orders at low temperatures. Recent density matrix renormalization group (DMRG) calculations find that the next nearest neighbor interaction J_{2} enhances the frustration, and it leads to a spin liquid for J_{2}/J_{1}∈(0.08,0.15). In addition, a DMRG study of a dipolar Heisenberg model with longer range interactions gives evidence for a spin liquid at a small dipole tilting angle θ∈[0,10°). In both cases, the putative spin liquid region appears to be small. Here, we show that for the triangular lattice dipolar Heisenberg model, a robust quantum paramagnetic phase exists in a surprisingly wide region, θ∈[0,54°), for dipoles tilted along the lattice diagonal direction. We obtain the phase diagram of the model by functional renormalization group (RG), which treats all magnetic instabilities on equal footing. The quantum paramagnetic phase is characterized by a smooth continuous flow of vertex functions and spin susceptibility down to the lowest RG scale, in contrast to the apparent breakdown of RG flow in phases with stripe or spiral order. Our finding points to a promising direction to search for quantu...Continue Reading

References

Oct 4, 2003·Physical Review Letters·Y ShimizuG Saito
Sep 30, 2005·Journal of the American Chemical Society·Matthew P ShoresDaniel G Nocera
Mar 12, 2010·Nature·Leon Balents
May 1, 2012·Physical Review Letters·S G BhongaleErhai Zhao
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Nov 9, 2016·Reports on Progress in Physics·Lucile Savary, Leon Balents
Feb 27, 2018·Physical Review Letters·Finn Lasse BuessenSimon Trebst

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Citations

Sep 14, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Nils NiggemannJohannes Reuther
Oct 10, 2021·Nature Communications·Alessio ChiocchettaSebastian Diehl

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