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Related papers: A chiral spin liquid wave function and the Lieb-Sc…

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A Schwinger boson mean field theory is developed for spin liquids in a symmetric spin-orbital model in higher dimensions. Spin, orbital and coupled spin-orbital operators are treated equally. We evaluate the dynamic correlation functions…

Strongly Correlated Electrons · Physics 2009-11-07 Shun-Qing Shen , Guang-Ming Zhang

In closed systems, the celebrated Lieb-Schultz-Mattis (LSM) theorem states that a one-dimensional locally interacting half-integer spin chain with translation and spin rotation symmetry cannot have a non-degenerate gapped ground state.…

Strongly Correlated Electrons · Physics 2024-09-04 Yi-Neng Zhou , Xingyu Li , Hui Zhai , Chengshu Li , Yingfei Gu

Motivated by recent experimental and numerical evidences of deconfined quantum critical point and quantum spin-liquid states in spin-$1/2$ Heisenberg model on Shastry-Sutherland lattice, we studied possible symmetric spin liquid states and…

Strongly Correlated Electrons · Physics 2024-04-23 Ke Liu , Fa Wang

We consider an exchange model describing two isotropic spin-1/2 Heisenberg antiferromagnets coupled by a quartic term on the square lattice. The model is relevant for systems with orbital degeneracy and strong electron-vibron coupling in…

Strongly Correlated Electrons · Physics 2009-10-31 G. Santoro , S. Sorella , L. Guidoni , A. Parola , E. Tosatti

The parton approach for quantum spin liquids gives a transparent description of low-energy elementary excitations, e.g., spinons and emergent gauge-field fluctuations. The latter ones are directly coupled to the hopping/pairing of spinons.…

Strongly Correlated Electrons · Physics 2023-11-27 Sasank Budaraju , Yasir Iqbal , Federico Becca , Didier Poilblanc

Interacting one-dimensional electron systems are generally referred to as "Luttinger liquids", after the effective low-energy theory in which spin and charge behave as separate degrees of freedom with independent energy scales. The…

Strongly Correlated Electrons · Physics 2015-06-12 Mohammad Soltanieh-ha , Adrian E. Feiguin

We study the ground state properties of the Hubbard model on three-leg triangular cylinders using large-scale density-matrix renormalization group simulations. At half-filling, we identify an intermediate gapless spin liquid phase between a…

Strongly Correlated Electrons · Physics 2022-02-24 Cheng Peng , Yi-Fan Jiang , Yao Wang , Hong-Chen Jiang

We present a mixed spin-(1/2, 5/2) chain composed of a charge-transfer salt (4-Br-$o$-MePy-V)FeCl$_4$. We observe the entire magnetization curve up to saturation, which exhibits a clear Lieb-Mattis magnetization plateau and subsequent…

Strongly Correlated Electrons · Physics 2020-04-23 H. Yamaguchi , T. Okita , Y. Iwasaki , Y. Kono , N. Uemoto , Y. Hosokoshi , T. Kida , T. Kawakami , A. Matsuo , M. Hagiwara

We study Gutzwiller-projected variational wavefunctions for charged, spinless holon excitations in chiral spin liquids. We find that these states describe anyons, with a statistical phase $\Phi_s$ that is continuously adjustable between $0$…

Condensed Matter · Physics 2016-08-31 D. M. Deaven , D. S. Rokhsar , A. Barbieri

It is well established that at low energies one-dimensional (1D) fermionic systems are described by the Luttinger liquid (LL) theory, that predicts phenomena like spin-charge separation, and charge fractionalization into chiral modes. Here…

Strongly Correlated Electrons · Physics 2013-02-06 A. Moreno , A. Muramatsu , J. M. P. Carmelo

Chiral symmetry in energy bands appears as perfectly symmetric anti-bonding and bonding pairs of energy levels. It has only been observed in a few classes of models with a bipartite lattice structure or Bogoliubov-de-Gennes systems having…

Strongly Correlated Electrons · Physics 2023-08-24 Hiroki Nakai , Masataka Kawano , Chisa Hotta

We demonstrate the existence of a topological chiral spin liquid in the frustrated Shastry-Sutherland Heisenberg model with an additional spin chirality interaction, using numerically unbiased exact diagonalization and density matrix…

Strongly Correlated Electrons · Physics 2024-03-06 Jian-Wei Yang , Wei-Wei Luo , W. Zhu , L. Wang , Bo Yang , Pinaki Sengupta

We investigate thermodynamic properties of a one-dimensional S=1/2 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. In particular we study how spin and lattice dimerize as a function of the…

Statistical Mechanics · Physics 2009-10-31 Hiroaki Onishi , Seiji Miyashita

Using a perturbative renormalization group approach, we show that the extended ($J_1$-$J_2$-$J_d$) Heisenberg model on the kagome lattice with a staggered chiral interaction ($J_\chi$) can exhibit a gapless chiral quantum spin liquid phase.…

Strongly Correlated Electrons · Physics 2018-01-25 Rodrigo G. Pereira , Samuel Bieri

We prove that a quantum spin chain with half-odd-integral spin cannot have a unique ground state with a gap, provided that the interaction is short ranged, translation invariant, and possesses time-reversal symmetry or ${\mathbb Z}_2 \times…

Mathematical Physics · Physics 2019-02-20 Yoshiko Ogata , Hal Tasaki

In the first part of this paper, the extension of the Lieb-Schultz-Mattis theorem to dimensions larger than one is discussed. A counter example to the original formulation of Lieb-Schultz-Mattis and Affleck is exhibited and a more precise…

Strongly Correlated Electrons · Physics 2015-06-24 G. Misguich , C. Lhuillier , M. Mambrini , P. Sindzingre

We established a large class of exactly soluble spin liquids and chiral spin liquids on three dimensional helix lattices by introducing Kitaev-type's spin coupling. In the chiral spin liquids, exact stable ground states with spontaneous…

Strongly Correlated Electrons · Physics 2012-06-07 Tieyan Si , Yue Yu

Chiral spin liquids (CSLs) in three dimensions and thermal phase transitions to paramagnet are studied by unbiased Monte Carlo simulations. For an extension of the Kitaev model to a three-dimensional tricoordinate network dubbed the…

Strongly Correlated Electrons · Physics 2018-05-21 Yasuyuki Kato , Yoshitomo Kamiya , Joji Nasu , Yukitoshi Motome

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

We show that there is pseudospin SU(2) symmetry in the one-dimensional tight-binding model with the inter-molecular electron-phonon interaction. We discuss the relation between the pseudospin symmetry breaking and the charge-density wave…

Condensed Matter · Physics 2007-05-23 S. Q. Shen , X. C. Xie