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We study the energy and the static spin structure factor of the ground state of the spin-1/2 quantum Heisenberg antiferromagnetic model on the kagome lattice. By the iterative application of a few Lanczos steps on accurate projected…

强关联电子 · 物理学 2015-03-20 Yasir Iqbal , Federico Becca , Sandro Sorella , Didier Poilblanc

The nature of the ground state of the spin $S=1/2$ Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e., with different superexchange couplings $J_{\vartriangle}$ and $J_{\triangledown}$ within elementary up- and…

强关联电子 · 物理学 2018-03-16 Yasir Iqbal , Didier Poilblanc , Ronny Thomale , Federico Becca

We perform a density-matrix renormalization group (DMRG) study of the S=1/2 Heisenberg antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to…

强关联电子 · 物理学 2012-08-15 Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwoeck

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

强关联电子 · 物理学 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

With strong geometric frustration and quantum fluctuations, S=1/2 quantum Heisenberg antiferromagnets on the Kagome lattice has long been considered as an ideal platform to realize spin liquid (SL), a novel phase with no symmetry breaking…

强关联电子 · 物理学 2015-03-19 Yuan-Ming Lu , Ying Ran , Patrick A. Lee

We investigate the impact of the spin-phonon coupling on the S=1/2 Heisenberg model on the kagome lattice. For the pure spin model, there is increasing evidence that the low-energy properties can be correctly described by a Dirac spin…

强关联电子 · 物理学 2024-04-19 Francesco Ferrari , Federico Becca , Roser Valenti

In a recent paper [arXiv:1601.02165], Tao Li claimed that a gapped $\mathbb{Z}_2$ spin liquid, obtained using projected Gutzwiller fermionic wave functions, can be stabilized in the Heisenberg model on the kagome lattice. We perform very…

强关联电子 · 物理学 2016-06-08 Yasir Iqbal , Didier Poilblanc , Federico Becca

We perform a Gutzwiller projected wavefunction study for the spin-1/2 Heisenberg model on the Kagome lattice to compare energies of several spin-liquid states. The result indicates that a U(1)-Dirac spin-liquid state has the lowest energy.…

强关联电子 · 物理学 2007-05-23 Ying Ran , Michael Hermele , Patrick A. Lee , Xiao-Gang Wen

By using the variational Monte Carlo technique, we study the spin-$1/2$ XXZ antiferromagnetic model (with easy-plane anisotropy) on the kagome lattice. A class of Gutzwiller projected fermionic states with a spin Jastrow factor is…

强关联电子 · 物理学 2015-11-18 Wen-Jun Hu , Shou-Shu Gong , Federico Becca , D. N. Sheng

We combine the pseudofermion functional renormalization group (PFFRG) method with a self-consistent Fock-like mean-field scheme to calculate low-energy effective theories for emergent spinon excitations in spin-1/2 quantum spin liquids.…

强关联电子 · 物理学 2019-04-03 Max Hering , Jonas Sonnenschein , Yasir Iqbal , Johannes Reuther

The antiferromagnetic spin-$1/2$ Heisenberg model on a kagome lattice is one of the most paradigmatic models in the context of spin liquids, yet the precise nature of its ground state is not understood. We use large scale density matrix…

强关联电子 · 物理学 2017-08-02 Yin-Chen He , Michael P. Zaletel , Masaki Oshikawa , Frank Pollmann

We assess the ground-state phase diagram of the $J_1$-$J_2$ Heisenberg model on the kagome lattice by employing Gutzwiller-projected fermionic wave functions. Within this framework, different states can be represented, defined by distinct…

The search for exotic quantum spin liquid states in simple yet realistic spin models remains a central challenge in the field of frustrated quantum magnetism. Here we consider the canonical nearest-neighbor kagome Heisenberg antiferromagnet…

强关联电子 · 物理学 2018-08-29 Amir M-Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash

The spin-1/2 Heisenberg model on the kagome lattice, which is closely realized in layered Mott insulators such as ZnCu$_3$(OH)$_6$Cl$_2$, is one of the oldest and most enigmatic spin-1/2 lattice model. While the numerical evidence has…

强关联电子 · 物理学 2018-03-07 Arnaud Ralko , Frédéric Mila , Ioannis Rousochatzakis

We investigate the spin-$\frac{1}{2}$ Heisenberg model on the triangular lattice in the presence of nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Motivated by recent findings from density-matrix…

强关联电子 · 物理学 2016-04-12 Yasir Iqbal , Wen-Jun Hu , Ronny Thomale , Didier Poilblanc , Federico Becca

We construct a phenomenological Z_2 lattice gauge theory to describe the spin-liquid state of the S=1/2 kagome Heisenberg antiferromagnet in the sector with zero total spin. The model is a natural generalization of the…

强关联电子 · 物理学 2013-10-16 Yuan Wan , Oleg Tchernyshyov

Motivated by recent experiments on the vanadium oxyfluoride material DQVOF, we examine possible spin liquid phases on a breathing kagome lattice of S=1/2 spins. By performing a projective symmetry group analysis, we determine the possible…

强关联电子 · 物理学 2017-02-15 Robert Schaffer , Yejin Huh , Kyusung Hwang , Yong Baek Kim

Recent numerical studies have provided strong evidence for a gapped $Z_2$ quantum spin liquid in the kagome lattice spin-1/2 Heisenberg model. A special feature of spin liquids is that symmetries can be fractionalized, and different…

强关联电子 · 物理学 2018-01-01 Yuan-Ming Lu , Gil Young Cho , Ashvin Vishwanath

We have performed large scale variational search for the best RVB ansatz for the spin-$\frac{1}{2}$ kagome antiferromagnet with both nearest-neighboring(NN) and next-nearest-neighboring(NNN) exchanges assuming only translational symmetry.…

强关联电子 · 物理学 2016-01-12 Tao Li

We analyse the antiferromagnetic spin-$1/2$ XXZ model on the kagome lattice at finite external magnetic field with the help of a nonperturbative zero-temperature renormalization group (RG) technique. Following the work of Kumar \emph{et al}…

强关联电子 · 物理学 2019-09-30 Santanu Pal , Anirban Mukherjee , Siddhartha Lal
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