Gutzwiller projected states for the 
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 Heisenberg model on the Kagome lattice: Achievements and pitfalls

Iqbal, Yasir; Ferrari, Francesco; Chauhan, Aishwarya; Parola, Alberto; Poilblanc, Didier; Becca, Federico

doi:10.1103/physrevb.104.144406

Cited by 19 publications

(7 citation statements)

References 50 publications

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“…Thus, the system is expected to exhibit the Q = 0, 120 • order for J 2 > 0 and the √ 3 × √ 3 120 • order for J 2 < 0. This finding is consistent with previous studies [37][38][39]. Schematic views of these magnetic structures are presented in Fig.…”

Section: A Specific Heat and Entropysupporting

confidence: 93%

“…In the model compounds, the next-nearest-neighbor exchange interaction J 2 always exists regardless of whether it is large or small. The ground state of the J 1 − J 2 kagome lattice has been studied theoretically [37][38][39]. For J 2 > 0, the ground state exhibits a Q = 0, 120 • structure, whereas for J 2 < 0, the ground state exhibits a √ 3 × √ 3 120 • structure.…”

Section: Introductionmentioning

confidence: 99%

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Resonating dimer–monomer liquid state in a magnetization plateau of a spin-$$\frac{1}{2}$$ kagome-strip Heisenberg chain

2021

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Highly frustrated spin systems such as the kagome lattice are a treasure trove of new quantum states with large entanglements. Herein, we study the spin-$$\frac{1}{2}$$ 1 2 Heisenberg model on a kagome-strip chain, which is a one-dimensional kagome lattice, using the density matrix renormalization group method. Calculating the central charge and entanglement spectrum for the kagome-strip chain, we find a gapless spin liquid state with doubly degenerate entanglement spectra in a 1/5 magnetization plateau. We also obtain a gapless low-lying continuum in the dynamic spin structure calculated using the dynamical density matrix renormalization group method. We then propose a resonating dimer–monomer liquid state that meets these features.

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Section: A Specific Heat and Entropysupporting

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Resonating dimer–monomer liquid state in a magnetization plateau of a spin-$$\frac{1}{2}$$ kagome-strip Heisenberg chain

2021

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“…The vector M i effectively acts as a staggered magnetic field and magnetic order can be induced on top of the CSL state if h = 0 variationally [55,56]. In this situation, the spinon spectrum is gapped and we interpret the resulting state as adiabatically connected to a conventional magnetically ordered one.…”

Section: Variational Monte Carlo Resultsmentioning

confidence: 96%

Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

Oliviero¹,

Augusto²,

Andrade³

et al. 2021

Preprint

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Time-reversal-symmetry-breaking three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We combine a classical approach, parton mean-field theory and variational Monte Carlo methods to study a spin-1/2 model with staggered three-spin interaction Jχ on the kagome lattice. In addition, we consider Heisenberg exchange couplings J1 on nearest-neighbor bonds and J d across the diagonals of the hexagons. In the regime of dominant Jχ, the phase diagram exhibits a gapless chiral spin liquid with a line Fermi surface. As we increase the exchange couplings, we find a variety of noncoplanar magnetic orders, including a phase that interpolates between cuboc-1 and cuboc-2 states. Our results show that the competition between induced staggered chirality and Heisenberg exchange interactions can give rise to unusual ground states of spin systems.

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“…The vector M i effectively acts as a staggered magnetic field and magnetic order can be induced on top of the CSL state if h = 0 variationally [46,47]. In this situation, the spinon spectrum is gapped and we interpret the resulting state as adiabatically connected to a conventional magnetically ordered one.…”

Section: Parton Mean-field Theory For Gapless Chiral Spin Liquidmentioning

confidence: 96%

Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

et al. 2022

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Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction J_\chiJχ in addition to Heisenberg exchange couplings J_1J1 on nearest-neighbor bonds and J_dJd across the diagonals of the hexagons. We explore the phase diagram using a combination of a classical approach, parton mean-field theory, and variational Monte Carlo methods. We obtain a variety of noncoplanar magnetic orders, including a phase that interpolates between cuboc-1 and cuboc-2 states. In the regime of dominant J_{\chi}Jχ, we find a classically disordered region and argue that it may harbor a gapless chiral spin liquid with a spinon Fermi surface. Our results show that the competition between the staggered three-spin interaction and Heisenberg exchange interactions gives rise to unusual ground states of spin systems.

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Gutzwiller projected states for the J1−J2 Heisenberg model on the Kagome lattice: Achievements and pitfalls

Cited by 19 publications

References 50 publications

Resonating dimer–monomer liquid state in a magnetization plateau of a spin-$$\frac{1}{2}$$ kagome-strip Heisenberg chain

Resonating dimer–monomer liquid state in a magnetization plateau of a spin-$$\frac{1}{2}$$ kagome-strip Heisenberg chain

Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

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