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Motivated by spin-wave continuum (SWC) observed in recent neutron scattering experiments in Herbertsmithite, we use Gutzwiller-projected wave functions to study dynamic spin structure factor $S(\mathbf{q},\omega)$ of spin liquid states on…

Strongly Correlated Electrons · Physics 2015-07-13 Jia-Wei Mei , Xiao-Gang Wen

We explore the Dirac spin liquid (DSL) as a candidate for the ground state of the Mott insulating phase of fermions with six flavors on the Kagome lattice, particularly focusing on realizations using $^{173}$Yb atoms in optical lattices.…

Strongly Correlated Electrons · Physics 2025-12-02 Dániel Vörös , Kránitz Péter , Karlo Penc

Motivated by recent density-matrix renormalization group (DMRG) calculations [Yan, Huse, and White, Science 332, 1173 (2011)], which claimed that the ground state of the nearest-neighbor spin-1/2 Heisenberg antiferromagnet on the kagome…

Strongly Correlated Electrons · Physics 2011-07-25 Yasir Iqbal , Federico Becca , Didier Poilblanc

We apply the correlation matrix Hamiltonian reconstruction technique to the two-dimensional Gutzwiller-projected Fermi sea and {\pi}-flux states on finite-sized square and triangular lattices. Our results indicate no spin Hamiltonian with…

Strongly Correlated Electrons · Physics 2025-10-20 Lucas Z. Brito , J. B. Marston

We propose an SU(3) symmetric Hamiltonian with short-range interactions on the Kagome lattice and show that it hosts an Abelian chiral spin liquid (CSL) state. We provide numerical evidence based on exact diagonalization to show that this…

Strongly Correlated Electrons · Physics 2018-10-17 Ying-Hai Wu , Hong-Hao Tu

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…

Strongly Correlated Electrons · Physics 2021-10-08 Yasir Iqbal , Francesco Ferrari , Aishwarya Chauhan , Alberto Parola , Didier Poilblanc , Federico Becca

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…

Strongly Correlated Electrons · Physics 2024-04-19 Francesco Ferrari , Federico Becca , Roser Valenti

Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamiltonian on the triangular lattice that stabilizes the…

Strongly Correlated Electrons · Physics 2025-12-10 Tingyu Gao , Niklas Tausendpfund , Erik L. Weerda , Jan Naumann , Matteo Rizzi , David F. Mross

It has long been believed that doped quantum spin liquids (QSLs) can give rise to fascinating quantum phases, including the possibility of high-temperature superconductivity (SC) as proposed by P. W. Anderson's resonating valence bond (RVB)…

Strongly Correlated Electrons · Physics 2024-04-09 Zheng-Tao Xu , Zheng-Cheng Gu , Shuo Yang

We study $S=1$ spin liquid states on the kagome lattice constructed by Gutzwiller-projected $p_x+ip_y$ superconductors. We show that the obtained spin liquids are either non-Abelian or Abelian topological phases, depending on the topology…

Strongly Correlated Electrons · Physics 2018-06-01 Zheng-Xin Liu , Hong-Hao Tu , Ying-Hai Wu , Rong-Qiang He , Xiong-Jun Liu , Yi Zhou , Tai-Kai Ng

In recent work, we argued that a particular algebraic spin liquid (ASL) may be the ground state of the S = 1/2 kagome lattice Heisenberg antiferromagnet. This state, which lacks a spin gap, is appealing in light of recent experiments on…

Strongly Correlated Electrons · Physics 2008-06-10 Michael Hermele , Ying Ran , Patrick A. Lee , Xiao-Gang Wen

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…

Strongly Correlated Electrons · Physics 2016-06-08 Yasir Iqbal , Didier Poilblanc , Federico Becca

We demonstrate that, starting with a simple fermion wave function, the steady mixed state of the evolution of a class of Lindbladians, and the ensemble created by strong local measurement of fermion density without post-selection can be…

Strongly Correlated Electrons · Physics 2025-08-05 Kaixiang Su , Abhijat Sarma , Marcus Bintz , Thomas Kiely , Yimu Bao , Matthew P. A. Fisher , Cenke Xu

We develop a formalism for constructing particle-number-conserving Gaussian fermionic projected entangled pair states [U(1)-GfPEPS] and show that these states can describe ground states of band insulators and gapless fermions with band…

Strongly Correlated Electrons · Physics 2023-03-07 Jheng-Wei Li , Jan von Delft , Hong-Hao Tu

We revisit the challenging problem of identifying the quantum spin liquid candidate in the spin-1/2 $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice. By integrating the Gutzwiller-guided density matrix renormalization group…

Strongly Correlated Electrons · Physics 2025-03-11 Hui-Ke Jin , Hong-Hao Tu , Ya-Hui Zhang

We employ the $\mathrm{SU}(n)_k$ Wess-Zumino-Witten (WZW) model in conformal field theory to construct lattice wave functions in both one and two dimensions. The spins on all lattice sites are chosen to transform under the $\mathrm{SU}(n)$…

Strongly Correlated Electrons · Physics 2025-10-01 Tong Liu , Ying-Hai Wu , Hong-Hao Tu , Tao Xiang

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.…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Ran , Michael Hermele , Patrick A. Lee , Xiao-Gang Wen

The Gutzwiller projection of fermionic wave functions is a well-established method for generating variational wave functions describing exotic states of matter, such as quantum spin liquids. We investigate the conditions under which a…

Strongly Correlated Electrons · Physics 2025-09-03 Rafael A. Macedo , Carlo C. Bellinati , Weslei B. Fontana , Eric C. Andrade , Rodrigo G. Pereira

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…

Strongly Correlated Electrons · Physics 2015-03-19 Yuan-Ming Lu , Ying Ran , Patrick A. Lee

We investigate the stability and the nature of the chiral spin liquids which were recently uncovered in extended Heisenberg models on the kagome lattice. Using a Gutzwiller projected wave function approach -- i.e. a parton construction --…

Strongly Correlated Electrons · Physics 2015-09-23 Alexander Wietek , Antoine Sterdyniak , Andreas M. Läuchli
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