Anisotropy as a diagnostic test for distinct tensor-network wave functions of integer- and half-integer-spin Kitaev quantum spin liquids

Variational wave functions have been a successful tool to investigate the properties of quantum spin liquids. Finding their parent Hamiltonians is of primary interest for the experimental realization of these strongly correlated phases, and for gathering additional insights on their stability. In this work, we systematically reconstruct approximate spin-chain parent Hamiltonians for Jastrow-Gutzwiller wave functions, which share several features with quantum spin liquid wave functions in two dimensions. Firstly, we determine the different phases encoded in the parameter space through their correlation functions and entanglement properties. Secondly, we apply a recently proposed entanglement-guided method to reconstruct parent Hamiltonians to these states, which constrains the search to operators describing relativistic low-energy field theories - as expected for deconfined phases of gauge theories relevant to quantum spin liquids. The quality of the results is discussed using different quantities and comparing to exactly known parent Hamiltonians at specific points in parameter space. Our findings provide guiding principles for experimental Hamiltonian engineering of this class of states.

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

Nature Communications ◽

10.1038/s41467-021-21495-8 ◽

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.

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Doping Quantum Spin Liquids on the Kagome Lattice

Advanced Quantum Technologies ◽

10.1002/qute.202000126 ◽

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

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Vestigial anyon condensation in kagome quantum spin liquids

Physical Review B ◽

10.1103/physrevb.103.014408 ◽

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

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Characterizing spin-one Kitaev quantum spin liquids

Physical Review Research ◽

10.1103/physrevresearch.3.013160 ◽

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

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

Nature Communications ◽

10.1038/s41467-021-23033-y ◽

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.

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