Concept And Realization Of Kitaev Quantum Spin Liquids

04.07.2022

Kitaev Materials - arXiv Vanity.
PDF RVB, spin liquids, and topological order Recommedned and a Commentary.
Quantum - Institut Neel.
PDF Majorana corner modes in a second-order Kitaev spin liquid.
Determining quantum phase diagrams of topological Kitaev-inspired.
PDF The vicinity of hyper-honeycomb β-Li2IrO3 to a three-dimensional Kitaev.
Strong quantum fluctuations in a quantum spin liquid candidate with a.
First demonstration of tuning between the Kitaev and Ising... - Science.
Crystalline Kitaev spin liquids - American Physical Society.
PDF A possible quantum spin liquid in a spin-orbital entangled 2d magnet.
PDF Quantum spin liquids and the Mott transition.
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PDF Proximate Quantum Spin Liquid on Designer Lattice.

Kitaev Materials - arXiv Vanity.

. Despite this similarity, the search for Kitaev materials and a solid-state realization of the Kitaev model is probably less driven by a potential application in quantum computing technologies, but deeply inspired by the fundamental pursuit of (i) the synthesis of spin liquid materials, (ii) the experimental discovery of Majorana fermions, and.

PDF RVB, spin liquids, and topological order Recommedned and a Commentary.

We perform both numerical and theoretical studies on the phase diagram of the Kitaev materials in the presence of a magnetic field. We find that a new quantum spin liquid state with neutral Fermi surfaces emerges at intermediate field strengths, between the regimes for the non-Abelian chiral spin liquid state and for the trivial polarized state. Due to the combination of a substantial spin-orbit coupling and correlation effects, iridium oxides hold a prominent place in the search for novel quantum states of matter, including, e.g., Kitaev spin liquids and topological Weyl states. We establish the promise of the very recently synthesized hyper-honeycomb iridate β-Li2IrO3 in this regard.

Quantum - Institut Neel.

Some quantum spin liquids 2, which may arise in geometrically frustrated antiferromagnets, can be described by quantum dimer models 3, 4 which are U(1) lattice gauge theories. Other quantum spin liquids have Abelian or non-Abelian symmetry, and Kitaev's toric code 5 provides an example of a lattice gauge theory relevant in quantum information. Abstract. Quantum spin liquids may be considered 'quantum disordered' ground states of spin systems, in which zero-point fluctuations are so strong that they prevent conventional magnetic long-range order. More interestingly, quantum spin liquids are prototypical examples of ground states with massive many-body entanglement, which is of a. The model is of course most famously known for harboring both gapped and gapless quantum spin-liquid ground states. At the same time, it is one of the rare microscopic models that can be solved exactly, as demonstrated in seminal work by Alexei Kitaev in 2006. This analytical tractability allows one to precisely describe and track the fractionalization of the original spin-orbit entangled.

PDF Majorana corner modes in a second-order Kitaev spin liquid.

Alized quantum spin liquid in more than one dimension. Through the connections to quantum quenches and the physics of Majorana Fermions which appear in our dis-cussion, it cements the central role played by the Kitaev model for our understanding of correlated and topological phases. The model.—In the Kitaev model spin-half degrees of..

Determining quantum phase diagrams of topological Kitaev-inspired.

Kitaev spin liquids on honeycomb lattice are based on bond-dependent ferromagnetic interactions, distinct from geometrically frustrated antiferromagnet, in that the presence of spin liquid state was theoretically and rigorously proven, and may bring a new paradigm in the science of quantum spin liquid [10]. α-A 2 IrO 3 (A = Li, Na) was.

PDF The vicinity of hyper-honeycomb β-Li2IrO3 to a three-dimensional Kitaev.

The realization of Kitaev's honeycomb magnetic model in real materials has become one of the most pursued topics in condensed matter physics and materials science. If found, it is expected to host exotic quantum phases of matter and offers potential realizations of fault-tolerant quantum computations.... Traditionally, frustrated magnets. Kitaev model on the honeycomb lattice, one of the few exactly solvable models hosting gapped and gapless quantum spin liquids (QSLs) [10]. This aspect together withthe realization thatthe Kitaevspin liquidis stablewith respect to moderate Heisenberg-like perturbations [9,11] has triggered a lot of experimental activity on A2IrO3 and,. Introduction—Recently, there have been intense studies on candidate materials of Kitaev spin liquids (KSLs) as they offer a platform for topological quantum computation [ ] [ ].The Kitaev honeycomb model consists of bond-dependent Ising interactions leading to the KSL with Majorana fermion and vortex excitations. It was shown that bond-dependent (or "compass") interactions appear.

Strong quantum fluctuations in a quantum spin liquid candidate with a.

Proach, we calculate the spin correlations of the Kitaev-Heisenberg model, a paradigmatic model of honeycomb iridates that exhibits a rich phase diagram including a quantum spin liquid phase. Our results are benchmarked against exact diagonalization and a popular iterative method based on thermal pure quantum (TPQ) states. All methods.

First demonstration of tuning between the Kitaev and Ising... - Science.

A magnetic state called quantum spin liquid (QSL), where long-range ordering is suppressed by quantum fluctuations, is a new state of matter in condensed matter physics Balents2010.Tremendous efforts have been devoted to the realization of QSL, and several candidates were recently discovered in quasi two-dimensional (2D) and three-dimensional (3D) compounds Shimizu03 ; Nakatsuji05 ; Helton07. Quantum spin liquids realize massive entanglement and fractional quasiparticles from localized spins, proposed as an avenue for quantum science and technology. In particular, topological quantum computations are suggested in the non-abelian phase of Kitaev. S. Sanyal, K. Damle, J. T. Chalker, and R. Moessner, Emergent Moments and Random Singlet Physics in a Majorana Spin Liquid, Emergent Moments and Random Singlet Physics in a Majorana Spin Liquid arXiv:2006.16987. M. Udagawa, Vison-Majorana Complex Zero-Energy Resonance in the Kitaev Spin Liquid, Phys. Rev. B 98, 220404(R) (2018).

Crystalline Kitaev spin liquids - American Physical Society.

Can quantum spin liquids exist in d > 1? Theoretical question: YES!! Do quantum spin liquids exist in d > 1? Experimental question: Remarkable new materials possibly in spin liquid phases Friday, December 9, 2011. Very recently a quantum liquid was reported to form in H_{3}LiIr_{2}O_{6}, an iridate proposed to be a close realization of the Kitaev honeycomb model. To test this assertion we perform detailed quantum chemistry calculations to determine the magnetic interactions between Ir moments. The S=3/2 Kitaev honeycomb model (KHM) is a quantum spin liquid (QSL) state coupled to a static Z 2 gauge field. Employing an SO(6) Majorana representation of spin3/2's, we find an exact representation of the conserved plaquette fluxes in terms of static Z 2 gauge fields akin to the S=1/2 KHM which enables us to treat the remaining interacting matter fermion sector in a parton mean-field theory.

PDF A possible quantum spin liquid in a spin-orbital entangled 2d magnet.

Topological Order and the Kitaev Model PGF5295-Teoria Qu^antica de Muitos Corpos em Mat eria Condensada... quantum spin liquids or super uids to mention a few. States of matter are, in general, classi ed into phases that can be connected to each other... was the realization that the internal orders of a system are related to the symmetries of its. "Concept and realization of Kitaev quantum spin liquids" H. Takagi, T. Takayama, G. Jackeli,... "A spin-orbital-entangled quantum liquid on a honeycomb lattice" K. Kitagawa, T. Takayama, Y. Matsumoto, A... "Hyperhoneycomb iridate β-Li 2 IrO 3 as a platform for Kitaev magnetism" T. Takayama, A. Kato, R. Dinnebier, J. Nuss, H. Motivated by the physics of the Kitaev quantum spin liquid [1], we study quantum circuit dynamics in (2+1)-dimensions involving local projective measurements, in which the monitored trajectories.

PDF Quantum spin liquids and the Mott transition.

Theoretical work on quantum spin liquids with isotropic antiferromagnetic interactions has resulted in a number of models. The most promising two-dimensional quantum spin liquid is the kagome lattice consisting of corner-sharing triangles of antiferromagnetically coupled spin-1/2 ions7 11. Experimental. Featured image: Left panel: the quantum circuits to perform braiding operations on a conventional quantum hardware; right panels: the phase diagram of the Kitaev honeycomb model determined by NISQ quantum hardware; the details of entanglement entropy along the dashed line in the lower right panel is shown in the upper right one.

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Even the sign of the Kitaev interaction (the bond-dependent anisotropic interaction responsible for Kitaev physics) is still under debate, with conflicting results from theoretical and experimental studies.

PDF Proximate Quantum Spin Liquid on Designer Lattice.

A paradigmatic example is given by the Kitaev model of localized spins 1/2 on the honeycomb lattice, which realizes an exactly solvable quantum spin liquid ground state with Majorana fermions as low-energy excitations. I will demonstrate that the Kitaev solution can be generalized to systems with spin and orbital degrees of freedom. A quantum spin liquid (QSL) is an exotic state of matter characterized by many-body quantum entanglement 1,2,3.In contrast to weakly entangled magnetic states, QSLs host emergent fractionalized. Indicate the realization of a proximate quantum spin liquid state on the synthetic lattice. KEYWORDS: ultrathin ﬁlms, frustration, spin liquids, emergent magnetism I n a magnetic crystal, the basic notion of minimizing free energy necessitates that after cooling down to suﬃciently low temperature all spins should lock into a long-range ordered.