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Based on a special variant of plaquette expansion, an operator is constructed whose eigenvalues give the low-energy singlet spectrum of spin-$\frac12$ Heisenberg antiferromagnet on square lattice with nearest- and frustrating…

Strongly Correlated Electrons · Physics 2017-02-02 A. Yu. Aktersky , A. V. Syromyatnikov

We study how ferromagnetism breaks down in the spin-$\tfrac12$ nearest-neighbor Heisenberg model on the maple-leaf lattice with ferromagnetic $J_t,J_d$ and antiferromagnetic $J_h$, motivated by the mixed ferro-antiferromagnetic interactions…

Strongly Correlated Electrons · Physics 2026-05-14 Paul L. Ebert , Yasir Iqbal , Alexander Wietek

In the quest for quantum spin liquids in three spatial dimensions (3D), we study the half-filled Hubbard model on the simple cubic lattice with hopping processes up to third neighbors. Employing the variational cluster approach (VCA), we…

Strongly Correlated Electrons · Physics 2016-02-17 Manuel Laubach , Darshan G. Joshi , Johannes Reuther , Ronny Thomale , Matthias Vojta , Stephan Rachel

The search of quantum spin liquid (QSL), an exotic magnetic state with strongly-fluctuating and highly-entangled spins down to zero temperature, is a main theme in current condensed matter physics. However, there is no smoking-gun evidence…

Strongly Correlated Electrons · Physics 2023-10-27 Z. H. Zhu , B. L. Pan , L. P. Nie , J. M. Ni , Y. X. Yang , C. S. Chen , Y. Y. Huang , E. J. Cheng , Y. J. Yu , A. D. Hillier , X. H. Chen , T. Wu , Y. Zhou , S. Y. Li , L. Shu

We study the spin-$1$ Heisenberg model on the square lattice with the antiferromagnetic nearest-neighbor $J_1$ and the next-nearest-neighbor $J_2$ couplings by using the infinite projected entangled-pair state (iPEPS) ansatz and density…

Strongly Correlated Electrons · Physics 2018-06-01 R. Haghshenas , Wang-Wei Lan , Shou-Shu Gong , D. N. Sheng

Three decades ago Ioffe and Larkin pointed out a generic mechanism for the formation of a gapped spin liquid. In the case when a classical two-dimensional (2D) frustrated Heisenberg magnet undergoes a Lifshitz transition between a collinear…

Strongly Correlated Electrons · Physics 2018-10-24 Yaroslav A. Kharkov , Jaan Oitmaa , Oleg P. Sushkov

We examine the spin-$S$ quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions. The quantum-disordered phase is accessed by generalizing to $SU(M)$ symmetry and studying the large $M$ limit. For large $S$ the…

Condensed Matter · Physics 2009-01-23 Subir Sachdev , Jinwu Ye

From the perspective of low-lying excited states, we study the deconfined quantum critical point (DQCP) in a one-dimensional quantum spin chain by means of the entanglement entropy and fidelity. Our results show that there is a close…

Strongly Correlated Electrons · Physics 2024-02-08 Yan-Chao Li , Yuan-Hang Zhou , Yuan Zhang , Hai-Qing Lin

Geometric frustrations and quantum mechanical fluctuations may prohibit the formation of long-range ordering even at the lowest temperature, and therefore liquid-like ground states could be expected. A good example is the quantum spin…

Entanglement of the ground states in $XXZ$ and dimerized Heisenberg spin chains as well as in a two-leg spin ladder is analyzed by using the spin-spin concurrence and the entanglement entropy between a selected sublattice of spins and the…

Quantum Physics · Physics 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang

The existence of a quantum spin liquid (QSL) in which quantum fluctuations of spins are sufficiently strong to preclude spin ordering down to zero temperature was originally proposed theoretically more than 40 years ago, but its…

Organic solids host various electronic phases. Especially, a milestone compound of organic solid, $\beta'$-$X$[Pd(dmit)$_2$]$_2$ with $X$=EtMe$_3$Sb shows quantum spin-liquid (QSL) properties suggesting a novel state of matter. However,…

Strongly Correlated Electrons · Physics 2022-04-29 Kota Ido , Kazuyoshi Yoshimi , Takahiro Misawa , Masatoshi Imada

Recent experiments on the dipolar-octupolar pyrochlore compound Ce$_2$Zr$_2$O$_7$ indicate that it may realize a three-dimensional quantum spin liquid (QSL). In particular, the analyses of available data suggest that the system is in a…

Strongly Correlated Electrons · Physics 2022-06-30 Félix Desrochers , Li Ern Chern , Yong Baek Kim

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

A promising route towards the realization of chiral spin liquids is the quantum melting of classically noncoplanar spin states via quantum fluctuations. In the classical realm, such noncoplanar orders can effectively be stabilized by…

Strongly Correlated Electrons · Physics 2024-09-05 Martin Gembé , Lasse Gresista , Heinz-Jürgen Schmidt , Ciarán Hickey , Yasir Iqbal , Simon Trebst

We study the quantum phase diagram of the spin-$1/2$ nearest-neighbor Heisenberg model on the maple-leaf lattice using infinite projected entangled pair states (iPEPS) combined with a corner transfer matrix renormalization group scheme…

Strongly Correlated Electrons · Physics 2025-12-24 Samuel Nyckees , Pratyay Ghosh , Frédéric Mila

It has been suggested that the nearest-neighbour (NN) antiferromagnetic Heisenberg (HAF) model on the Kagome lattice may be a good starting point to understand the quantum spin-liquid (QSL) behaviour discovered in Herbertsmithite. We…

Strongly Correlated Electrons · Physics 2014-01-16 Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim

The frustrated magnet $\alpha$-RuCl$_3$ constitutes a fascinating quantum material platform that harbors the intriguing Kitaev physics. However, a consensus on its intricate spin interactions and field-induced quantum phases has not been…

Strongly Correlated Electrons · Physics 2021-07-16 Han Li , Hao-Kai Zhang , Jiucai Wang , Han-Qing Wu , Yuan Gao , Dai-Wei Qu , Zheng-Xin Liu , Shou-Shu Gong , Wei Li

The metal-organic-framework (MOF) compound Cu$_3$(HOTP)$_2$, a.k.a. Cu$_3$(HHTP)$_2$, is a small-gap semiconductor containing a kagome lattice of antiferromagnetically coupled $S$=1/2 Cu$^\mathrm{II}$ spins with intra-layer nearest-neighbor…

Strongly Correlated Electrons · Physics 2024-11-28 F. L. Pratt , D. Lopez-Alcala , V. Garcia-Lopez , M. Clemente-Leon , J. J. Baldovi , E. Coronado

The quantum spin liquid (QSL) is a state manifesting extraordinary many-body entanglement, and the material NaYbSe$_2$ is thought to be one of the most promising candidates for its realization. Through low-temperature heat capacity and…

Strongly Correlated Electrons · Physics 2025-02-11 Luke Pritchard Cairns , Yuanqi Lyu , Chunxiao Liu , Josue Rodriguez , Kenneth Ng , John Singleton , James G. Analytis