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Recent neutron scattering experiments on the spin-1/2 kagome lattice antiferromagnet ZnCu3(OH)6Cl2 (Herbertsmithite) provide the first evidence of fractionalized excitations in a quantum spin liquid state in two spatial dimensions. In…

Strongly Correlated Electrons · Physics 2014-04-03 Matthias Punk , Debanjan Chowdhury , Subir Sachdev

We use the coupled cluster method to high orders of approximation in order to calculate the ground-state energy, the ground-state magnetic order parameter, and the spin gap of the spin-1/2 J_1-J_2 model on the square lattice. We obtain…

Strongly Correlated Electrons · Physics 2015-01-16 J. Richter , R. Zinke , D. J. J. Farnell

We explore a spin-fermion model with fermion-spin-quadrupolar interaction. In a nematic phase, this interaction reduces to a four-fermion interaction that is a basis of superconductivity. When the coupling constant is positive the…

Superconductivity · Physics 2020-04-22 Naoum Karchev

Strongly interacting systems are known to often spontaneously develop exotic ground states under certain conditions. For instance, spin nematic phases have been discovered in various magnetic models. Such phases, which break spin symmetry…

Strongly Correlated Electrons · Physics 2007-05-23 S. Capponi , F. F. Assaad

The study of SU(N) quantum spin models is relevant to a variety of physical systems including ultracold atoms in optical lattices, and also leads to insights into novel quantum phases and phase transitions of SU(2) spin models. We use…

Strongly Correlated Electrons · Physics 2009-11-11 Arun Paramekanti , J. B. Marston

Frustration in quantum spin systems promote a variety of novel quantum phases. An important example is the frustrated spin-$1$ model on the square lattice with the nearest-neighbor bilinear ($J_1$) and biquadratic ($K_1$) interactions. We…

Strongly Correlated Electrons · Physics 2019-11-06 Wen-Jun Hu , Shou-Shu Gong , Hsin-Hua Lai , Haoyu Hu , Qimiao Si , Andriy H. Nevidomskyy

Quantum spin liquids exhibit fractionalized spin excitations as a consequence of strong quantum many-body effects. The kagome antiferromagnetic Heisenberg model is a promising candidate for a quantum spin-liquid ground state; however, the…

Strongly Correlated Electrons · Physics 2026-03-24 Daiki Sasamoto , Joji Nasu

We study dynamical spin structure factor (DSSF) of S = 1/2 Heisenberg model on the kagome lattice (KAFM) by means of density-matrix renormalization group. By comparison with the well-defined magnetic ordered state and chiral spin liquid…

Strongly Correlated Electrons · Physics 2019-05-22 W. Zhu , Shou-Shu Gong , D. N. Sheng

We theoretically calculate the density dynamic structure factor of one-dimensional Fermi superfluid with Raman-type spin-orbit coupling, and analyze its main dynamical character during phase transition between Bardeen-Cooper-Schrieffer…

Quantum Gases · Physics 2023-01-18 Zheng Gao , Lianyi He , Huaisong Zhao , Shi-Guo Peng , Peng Zou

We consider the effective model of $H=-J_{1}\sum_{<i,j>}\mathbf{S}_{i}\cdot \mathbf{S}_{j}-J_{2}\sum_{<i,j>}(\mathbf{S}_{i}\cdot \mathbf{S}_{j}) ^{2}$, describing the Mott insulating phase with odd number of spin-1 bosons in optical…

Strongly Correlated Electrons · Physics 2007-05-23 Guang-Ming Zhang , Lu Yu

One-dimensional spinor gases with strong delta interaction fermionize and form a spin chain. The spatial degrees of freedom of this atom chain can be described by a mapping to spinless noninteracting fermions and the spin degrees of freedom…

Quantum Gases · Physics 2016-09-22 Frank Deuretzbacher , Daniel Becker , Luis Santos

Using a time-dependent density matrix renormalization group approach, we study the dynamical structure factor of the $J_1 - J_2$ spin-1 chain. As $J_2$ increases, the magnon mode develops incommensurability. The system undergoes a…

Strongly Correlated Electrons · Physics 2025-02-06 Aman Sharma , Mithilesh Nayak , Henrik M. Rønnow , Frédéric Mila

We report on the detailed study of multi-component spin-waves in an s=3/2 Fermi gas where the high spin leads to novel tensorial degrees of freedom compared to s = 1/2 systems. The excitations of a spin-nematic state are investigated from…

Using 2D quantum spin-1/2 model as a concrete example, we studied the relation between gapless fermionic excitations (spinons) and quantum orders in some spin liquid states. Using winding number, we find the projective symmetry group that…

Strongly Correlated Electrons · Physics 2009-11-07 Xiao-Gang Wen , A. Zee

We investigate the ground state and finite-temperature properties of the spin-1/2 Heisenberg antiferromagnet on an infinite octa-kagome lattice by utilizing state-of-the-art tensor network-based numerical methods. It is shown that the…

Strongly Correlated Electrons · Physics 2017-05-18 Cheng Peng , Shi-Ju Ran , Tao Liu , Xi Chen , Gang Su

The topological defects of Spin($n+1$) nematics in two spatial dimensions, known as disclinations, are characterized by the $\pi_1(\mathbb{R}P^n) = \textrm{Z}_2$ homotopy group for $n\ge2$. We argue that incompressible quantum liquids of…

Strongly Correlated Electrons · Physics 2024-12-18 Predrag Nikolić

The ferrimagnetic phase of the sawtooth chain with mixed ferromagnetic nearest-neighbour interactions $J$ and antiferromagnetic next-nearest-neighbour interactions $J'$ (within the isotropic Heisenberg model) was previously characterized as…

Strongly Correlated Electrons · Physics 2023-04-04 Roman Rausch , Matthias Peschke , Cassian Plorin , Jürgen Schnack , Christoph Karrasch

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

We present a modification of exactly solvable spin-(1/2) Kitaev model on the decorated honeycomb lattice, with a ground state of "spin metal" type. The model is diagonalized in terms of Majorana fermions; the latter form a 2D gapless state…

Strongly Correlated Electrons · Physics 2013-05-29 K. S. Tikhonov , M. V. Feigel'man

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…

Strongly Correlated Electrons · Physics 2018-08-29 Amir M-Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash