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Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

Strongly Correlated Electrons · Physics 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

We study the ground state phase diagram of the quantum spin-$1/2$ Heisenberg model on the kagom\'{e} lattice with first- ($J_1 < 0$), second- ($J_2 < 0$), and third-neighbor interactions ($J_d > 0$) by means of analytical low-energy field…

Strongly Correlated Electrons · Physics 2016-07-28 Shou-Shu Gong , Wei Zhu , Kun Yang , Oleg A. Starykh , D. N. Sheng , Leon Balents

We study the magnetic field dependence of the ground state of $S=1/2$ $J_1$-$J_2$ Heisenberg model on the square lattice by the DMRG method with the sine-square deformation. We obtain 8 different phases including plaquette valence-bond…

Strongly Correlated Electrons · Physics 2016-08-24 Katsuhiro Morita , Naokazu Shibata

We use a projective symmetry group analysis to determine all symmetric spin liquids on the stuffed honeycomb lattice Heisenberg model. This lattice interpolates between honeycomb, triangular and dice lattices, always preserving hexagonal…

Strongly Correlated Electrons · Physics 2020-03-10 Jyotisman Sahoo , Rebecca Flint

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate.…

Strongly Correlated Electrons · Physics 2022-10-05 Bin-Bin Chen , Ziyu Chen , Shou-Shu Gong , D. N. Sheng , Wei Li , Andreas Weichselbaum

We develop an improved variant of $U(1)$-symmetric infinite projected entangled-pair state (iPEPS) ansatz to investigate the ground state phase diagram of the spin-$1/2$ square $J_{1}-J_{2}$ Heisenberg model. In order to improve the…

Strongly Correlated Electrons · Physics 2018-06-01 R. Haghshenas , D. N. Sheng

Algebraic spin liquids are quantum disordered phases of insulating magnets which exhibit fractionalized gapless excitations and power-law correlations. Quantum spin liquids in this category include the experimentally established 1D…

Strongly Correlated Electrons · Physics 2025-12-09 Francesco Ferrari , Josef Willsher , Urban F. P. Seifert , Roser Valentí , Johannes Knolle

We study the ground state properties of antiferromagnetic $J_1$-$J_2$ chains with half-integer spins ranging from $S=\frac{3}{2}$ to $S=\frac{11}{2}$ using the density-matrix renormalization group method. We map out the ground-state phase…

Strongly Correlated Electrons · Physics 2024-10-14 Sahinur Reja , Satoshi Nishimoto

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible…

Strongly Correlated Electrons · Physics 2009-11-13 Karol Gregor , Olexei I. Motrunich

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Strongly Correlated Electrons · Physics 2013-01-30 Philipp Hauke

We study the ground-state phase diagram of the quantum $J_1-J_2$ model on the square lattice by means of an entangled-plaquette variational ansatz. In the range $0\le {J_2}/{J_1} \le 1$, we find classical magnetic order of N\'eel and…

Strongly Correlated Electrons · Physics 2015-06-04 Fabio Mezzacapo

Recently, a number of experiments indicate the possible presence of spin liquid phases in quantum magnets with spin-1/2 and spin-1 moments sitting on triangular-lattice-based structures in Ba3CuSb2O9 and Ba3NiSb2O9 respectively. In relation…

Strongly Correlated Electrons · Physics 2013-06-04 Kyusung Hwang , Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim

The ground state of an S=1/2 antiferromagnetic Heisenberg model on a spatially anisotropic triangular lattice, which is an effective model of Mott insulators on a triangular layer of organic charge transfer salts or Cs2CuCl4, is numerically…

Strongly Correlated Electrons · Physics 2012-11-19 Kenji Harada

Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are…

Quantum Gases · Physics 2017-06-07 A. Yuste , M. Moreno-Cardoner , A. Sanpera

We study the effect of bond dissipation on the one-dimensional antiferromagnetic spin-$1/2$ Heisenberg model. In analogy to the spin-Peierls problem, the dissipative bath is described by local harmonic oscillators that modulate the spin…

Strongly Correlated Electrons · Physics 2023-10-19 Manuel Weber

We investigate the ground state of the $d^1$ spin-orbital model for triply degenerate $t_{2g}$ orbitals on a triangular lattice which unifies intrinsic frustration of spin and orbital interactions with geometrical frustration. Using full or…

Strongly Correlated Electrons · Physics 2011-03-14 Jiří Chaloupka , Andrzej M. Oleś

We present an extensive overview of the phase diagram, spin-wave excitations, and finite-temperature transitions of the anisotropic-exchange magnets on an ideal nearest-neighbor triangular lattice. We investigate transitions between five…

Strongly Correlated Electrons · Physics 2022-02-23 P. A. Maksimov , Zhenyue Zhu , Steven R. White , A. L. Chernyshev

We study the spin-1/2 Heisenberg model in a lattice that interpolates between the triangular and the kagome lattices. The exchange interaction along the bonds of the kagome lattice is J, and the one along the bonds connecting kagome and…

Strongly Correlated Electrons · Physics 2009-11-10 Liliana Arrachea , Luca Capriotti , Sandro Sorella

We study quantum phase transitions in the asymmetric variation of the three-leg Heisenberg tube for half-odd-integer spin, with a modulation of one of the rung exchange couplings $J'_\perp$ while the other two are kept constant $J_\perp$.…

Strongly Correlated Electrons · Physics 2014-02-28 Yohei Fuji , Satoshi Nishimoto , Hitoshi Nakada , Masaki Oshikawa

The two-dimensional $S=1/2$ asymmetric Heisenberg Mattis model is investigated with the exact diagonalization of finite clusters. The N\'eel order parameter and the spin glass order parameter can be smoothly extrapolated to the…

Condensed Matter · Physics 2016-08-31 Yoshihiko Nonomura
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