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Phase diagram of the one-dimensional $t_{1} − t_{2} − J$ model: Ferromagnetism, triplet pairing, and charge and pair density waves

https://doi.org/10.1103/PhysRevB.110.085122

Yang, Luhang; Feiguin, Adrian_E (August 2024, Physical Review B)
Fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism

https://doi.org/10.1103/PhysRevB.105.195104

Yang, Luhang; Hamad, Ignacio; Manuel, Luis O.; Feiguin, Adrian E. (May 2022, Physical Review B)

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Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions

https://doi.org/10.21468/SciPostPhys.13.3.060

Yang, Luhang; Weinberg, Phillip; Feiguin, Adrian (January 2022, SciPost Physics)

We study a generalized quantum spin ladder with staggered long rangeinteractions that decay as a power-law with exponent \alpha α .Using large scale quantum Monte Carlo (QMC) and density matrixrenormalization group (DMRG) simulations, we show that this modelundergoes a transition from a rung-dimer phase characterized by anon-local string order parameter, to a symmetry broken N'eel phase. Wefind evidence that the transition is second order. In the magneticallyordered phase, the spectrum exhibits gapless modes, while excitations inthe gapped phase are well described in terms of triplons – bound statesof spinons across the legs. We obtain the momentum resolved spin dynamicstructure factor numerically and find a well defined triplon band thatevolves into a gapless magnon dispersion across the transition. Wefurther discuss the possibility of deconfined criticality in thismodel.
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From deconfined spinons to coherent magnons in an antiferromagnetic Heisenberg chain with long range interactions

https://doi.org/10.21468/SciPostPhys.10.5.110

Yang, Luhang; Feiguin, Adrian (January 2021, SciPost Physics)

We study the nature of the excitations of an antiferromagnetic (AFM) Heisenberg chain with staggered long range interactions using the time-dependent density matrix renormalization group method and by means of a multi-spinon approximation. The chain undergoes true symmetry breaking and develops long range order, transitioning from a gapless spin liquid to a gapless ordered AFM phase. The spin dynamic structure factor shows that the emergence of Néel order can be associated to the formation of bound states of spinons that become coherent magnons. The quasiparticle band leaks out from the two-spinon continuum that is pushed up to higher energies. Our physical picture is also supported by an analysis of the behavior of the excitations in real-time.
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