scholarly journals Entanglement entropy and topological order in resonating valence-bond quantum spin liquids

2017 ◽  
Vol 95 (10) ◽  
Author(s):  
Julia Wildeboer ◽  
Alexander Seidel ◽  
Roger G. Melko
Keyword(s):  
Entanglement Entropy ◽  
Valence Bond ◽  
Quantum Spin ◽  
Topological Order ◽  
Spin Liquids ◽  
Quantum Spin Liquids ◽  
Resonating Valence Bond

scholarly journals Entanglement entropy as a portal to the physics of quantum spin liquids

2013 ◽  
Vol 15 (2) ◽  
pp. 025002 ◽  
Author(s):  
Tarun Grover ◽  
Yi Zhang ◽  
Ashvin Vishwanath
Keyword(s):  
Entanglement Entropy ◽  
Quantum Spin ◽  
Spin Liquids ◽  
Quantum Spin Liquids

scholarly journals Gapless quantum spin liquid in a honeycomb Γ magnet

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Qiang Luo ◽  
Jize Zhao ◽  
Hae-Young Kee ◽  
Xiaoqun Wang
Keyword(s):  
Ground State ◽  
Magnetic Order ◽  
Energy Gap ◽  
Entanglement Entropy ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Spin Liquids ◽  
Complete Understanding ◽  
Quantum Spin Liquids ◽  
Quantum Spin Liquid

AbstractA family of spin–orbit coupled honeycomb Mott insulators offers a playground to search for quantum spin liquids (QSLs) via bond-dependent interactions. In candidate materials, a symmetric off-diagonal Γ term, close cousin of Kitaev interaction, has emerged as another source of frustration that is essential for complete understanding of these systems. However, the ground state of honeycomb Γ model remains elusive, with a suggested zigzag magnetic order. Here we attempt to resolve the puzzle by perturbing the Γ region with a staggered Heisenberg interaction which favours the zigzag ordering. Despite such favour, we find a wide disordered region inclusive of the Γ limit in the phase diagram. Further, this phase exhibits a vanishing energy gap, a collapse of excitation spectrum, and a logarithmic entanglement entropy scaling on long cylinders, indicating a gapless QSL. Other quantities such as plaquette-plaquette correlation are also discussed.

scholarly journals Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Oliver Hart ◽  
Yuan Wan ◽  
Claudio Castelnovo
Keyword(s):  
Transport Properties ◽  
Realistic Model ◽  
Feedback Mechanism ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Spin Liquids ◽  
Slow Dynamics ◽  
Temperature Dependent ◽  
Quantum Spin Liquids ◽  
Quantum Spin Liquid

AbstractRealistic model Hamiltonians for quantum spin liquids frequently exhibit a large separation of energy scales between their elementary excitations. At intermediate, experimentally relevant temperatures, some excitations are sparse and hop coherently, whereas others are thermally incoherent and dense. Here, we study the interplay of two such species of quasiparticle, dubbed spinons and visons, which are subject to nontrivial mutual statistics – one of the hallmarks of quantum spin liquid behaviour. Our results for $${{\mathbb{Z}}}_{2}$$ Z 2 quantum spin liquids show an intriguing feedback mechanism, akin to the Nagaoka effect, whereby spinons become localised on temperature-dependent patches of expelled visons. This phenomenon has important consequences for the thermodynamic and transport properties of the system, as well as for its response to quenches in temperature. We argue that these effects can be measured in experiments and may provide viable avenues for obtaining signatures of quantum spin liquid behaviour.

scholarly journals Doping Quantum Spin Liquids on the Kagome Lattice

2021 ◽  
pp. 2000126
Author(s):  
Cheng Peng ◽  
Yi‐Fan Jiang ◽  
Dong‐Ning Sheng ◽  
Hong‐Chen Jiang
Keyword(s):  
Quantum Spin ◽  
Spin Liquids ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Quantum Spin Liquids

scholarly journals Vestigial anyon condensation in kagome quantum spin liquids

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Yan-Cheng Wang ◽  
Zheng Yan ◽  
Chenjie Wang ◽  
Yang Qi ◽  
Zi Yang Meng
Keyword(s):  
Quantum Spin ◽  
Spin Liquids ◽  
Quantum Spin Liquids

scholarly journals Characterizing spin-one Kitaev quantum spin liquids

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Ilia Khait ◽  
P. Peter Stavropoulos ◽  
Hae-Young Kee ◽  
Yong Baek Kim
Keyword(s):  
Quantum Spin ◽  
Spin Liquids ◽  
Quantum Spin Liquids

scholarly journals Quantum loop states in spin-orbital models on the honeycomb lattice

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Lucile Savary
Keyword(s):  
Realistic Model ◽  
Quantum Spin ◽  
Honeycomb Lattice ◽  
Spin Liquids ◽  
Spin Orbital ◽  
Experimental Realization ◽  
Quantum Phases ◽  
Quantum Spin Liquids ◽  
Quantum Spin Liquid ◽  
Symmetry Protected

AbstractThe search for truly quantum phases of matter is a center piece of modern research in condensed matter physics. Quantum spin liquids, which host large amounts of entanglement—an entirely quantum feature where one part of a system cannot be measured without modifying the rest—are exemplars of such phases. Here, we devise a realistic model which relies upon the well-known Haldane chain phase, i.e. the phase of spin-1 chains which host fractional excitations at their ends, akin to the hallmark excitations of quantum spin liquids. We tune our model to exactly soluble points, and find that the ground state realizes Haldane chains whose physical supports fluctuate, realizing both quantum spin liquid like and symmetry-protected topological phases. Crucially, this model is expected to describe actual materials, and we provide a detailed set of material-specific constraints which may be readily used for an experimental realization.

scholarly journals Topological insulators and quantum spin liquids

2012 ◽  
Vol 44 (5) ◽  
pp. 845-859 ◽  
Author(s):  
Gregory A. Fiete ◽  
Victor Chua ◽  
Mehdi Kargarian ◽  
Rex Lundgren ◽  
Andreas Rüegg ◽  
...  
Keyword(s):  
Topological Insulators ◽  
Quantum Spin ◽  
Spin Liquids ◽  
Quantum Spin Liquids

scholarly journals Entanglement signatures of emergent Dirac fermions: Kagome spin liquid and quantum criticality

2018 ◽  
Vol 4 (11) ◽  
pp. eaat5535 ◽  
Author(s):  
Wei Zhu ◽  
Xiao Chen ◽  
Yin-Chen He ◽  
William Witczak-Krempa
Keyword(s):  
Entanglement Entropy ◽  
Quantum Critical Point ◽  
Quantum Spin ◽  
Spin Liquid ◽  
Dirac Fermions ◽  
Spin Liquids ◽  
Density Matrix Renormalization ◽  
Dirac Semimetal ◽  
A Charge ◽  
Aharonov Bohm

Quantum spin liquids (QSLs) are exotic phases of matter that host fractionalized excitations. It is difficult for local probes to characterize QSL, whereas quantum entanglement can serve as a powerful diagnostic tool due to its nonlocality. The kagome antiferromagnetic Heisenberg model is one of the most studied and experimentally relevant models for QSL, but its solution remains under debate. Here, we perform a numerical Aharonov-Bohm experiment on this model and uncover universal features of the entanglement entropy. By means of the density matrix renormalization group, we reveal the entanglement signatures of emergent Dirac spinons, which are the fractionalized excitations of the QSL. This scheme provides qualitative insights into the nature of kagome QSL and can be used to study other quantum states of matter. As a concrete example, we also benchmark our methods on an interacting quantum critical point between a Dirac semimetal and a charge-ordered phase.

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