Quantum cluster kink and ring frustration

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August undefined, 2024

WebQuantum cluster kink and ring frustration. Preprint. Full-text available. Jul 2024; Zhen-Yu Zheng; Han-Chuan Kou; Peng Li; In this paper, we work on the pure and mixed cluster … WebSep 2, 2024 · We study the quantum phase transitions driven by a point impurity in a chain seamed with ring frustration. Rich phases and quantum phase transitions are uncovered …

Impurity-driven transitions in frustrated quantum Ising rings

WebThis work establishes the concept of nonlocality in a many-body system in the thermodynamic limit by calculating the nonlocal factors embedded in the factorizable … WebJul 21, 2024 · In this paper, we work on the pure and mixed cluster models with periodic boundary condition. The first purpose is to establish the concept of quantum cluster kink. Simple pictures are easily constructed in the pure cluster model. We clarify that there are two types of cluster kinks... family group pictures disney

Isomorphisms among quantum Grothendieck rings and …

WebThe Method of Quantum Clustering David Horn and Assaf Gottlieb School of Physics and Astronomy Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv University, Tel Aviv 69978, Israel Abstract We propose a novel clustering method that is an extension of ideas inher-ent to scale-space clustering and support-vector clustering. Like the lat- WebOn a ring, a single Jordan-Wigner transformation between the Kitaev model and the spin model suffers redundant degrees of freedom. However, we can establish an exact quaternary Jordan-Wigner mapping involving two Kitaev rings and two spin rings with periodic or antiperiodic boundary conditions. This mapping allows us to demonstrate … Weblish the concept and picture of quantum cluster kink in an exact manner basing on the pure cluster Hamiltonian. Two types of kinks are introduced. The useful quantities, cluster kink … cooking scrambled eggs on blackstone griddle

Quantum cluster kink and ring frustration - NASA/ADS

Quantum phase transition induced by topological frustration

WebJan 22, 2024 · An unusual correlation function was conjectured by Campostrini et al. [Phys. Rev. E 91, 042123 (2015)] for the ground state of a transverse Ising chain with geometrical frustration. Later, we provided a rigorous proof for it and demonstrated its nonlocal nature based on an evaluation of a Toeplitz determinant in the thermodynamic limit [J. Stat. … WebApr 4, 2024 · Quantum cluster kink and ring frustration #2. Zhen-Yu Zheng, Han-Chuan Kou, Peng Li (Jul 21, 2024) e-Print: 2107.09935 [cond-mat.str-el] pdf cite claim. reference search 0 citations. Impurity-driven transitions in frustrated quantum Ising rings #3. Han-Chuan Kou ... and topological extended-kink phase in the interacting Kitaev ring ... cooking scrapbook paperWebApr 16, 2024 · Ring-frustrated non-Hermitian XY model. Author links open overlay panel ... there appears a gapless excitation, which is made by kink-like spin configurations. It is … family group record sheet free print out

"WebNov 10, 2016 · Figure 1. The main focus of this paper: transverse Ising ring with odd number of lattice sites: (a) N = 3, (b) N = 2 L + 1 ( ). The Hamiltonian is shown in ( 1 ), which exhibits a ring frustration due to antiferromagnetic seam ( J > 0). Download figure: Standard image High-resolution image. " - Quantum cluster kink and ring frustration

Quantum cluster kink and ring frustration

Ring frustration and factorizable correlation functions of critical ...

WebQuantum cluster kink and ring frustration. Preprint. Full-text available. Jul 2024; Zhen-Yu Zheng; Han-Chuan Kou; Peng Li; In this paper, we work on the pure and mixed cluster … WebJul 21, 2024 · Cluster kinks deriving from different sources can coexist, compete with each other, and lead to quantum phase transitions. The second purpose is to elucidate that the …

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Webe ect of ring frustration [27{33]. The paper is organized as follows. In Sec.II, we estab-lish the concept and picture of quantum cluster kink in an exact manner basing on the pure … WebMar 18, 2024 · We study the quantum phase transition driven by a point impurity in a chain seamed with ring frustration. With strong coupling and light impurity, the system is in a topological extended-kink (TEK) phase, which exhibits gapless excitations in the bulk. With strong coupling and heavy impurity, the system is in a gapped kink bound state (KBS) …

WebApr 16, 2024 · The ring frustration is a type of geometrical frustration caused by the impossibility of accommodating the staggered spin configuration on a closed spin chain with odd number of sites. Because of this frustration, the low energy spin configuration always contains a kink like structure, which give rise to a gapless excitation in the anti … WebMay 8, 2024 · The body of this article is organized as follows: It starts with a micro-review of quantum criticality in section 2, followed by two sections on magnetic insulators: section 3 summarizes the main theoretical concepts of frustrated magnetism in insulators, including spin liquids, valence-bond solids, and order-by-disorder phenomena. Section 4 then turns …

WebThe quantum phase transition driven by a point impurity in a chain seamed with ring frustration, which induces antiferromagnetic order in the bulk and entangled spin … WebApr 1, 2024 · Math. 701 2015, 77–126, D. Hernandez and H. Oya, Quantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan–Lusztig algorithm, Adv. Math. 347 2024, 192–272] to all 𝔤 in a unified way, that is, isomorphisms between subalgebras of the quantum group of 𝗀 and subalgebras of the quantum Grothendieck ring of 𝒞 𝔤.

WebWe study the quantum phase transition driven by a point impurity in a chain seamed with ring frustration. With strong coupling and light impurity, the system is in a topological extended-kink (TEK) phase, which exhibits gapless excitations in the bulk. With strong coupling and heavy impurity, the system is in a gapped kink bound state (KBS) phase. …

WebDec 18, 2024 · On a ring, a single Jordan-Wigner transformation between the Kitaev model and the spin model suffers redundant degrees of freedom. However, we can establish an exact quaternary Jordan-Wigner mapping involving two Kitaev rings and two spin rings with periodic or antiperiodic boundary conditions. This mapping allows us to demonstrate … family group sheet ancestry family group sheet form freeWebIn this paper, we work on the pure and mixed cluster models with periodic boundary condition. The first purpose is to establish the concept of quantum cluster kink. cooking scrambled eggs with waterWebThe quantum phase transition driven by a point impurity in a chain seamed with ring frustration, which induces antiferromagnetic order in the bulk and entangled spin configuration near the impurity, is studied. We study the quantum phase transition driven by a point impurity in a chain seamed with ring frustration. With strong coupling and light … family groups for drug addictsWebDec 1, 2024 · Quantum phase transition induced by topological frustration. Vanja Marić, Salvatore Marco Giampaolo &. Fabio Franchini. Communications Physics 3, Article number: 220 ( 2024 ) Cite this article ... family group sheet for scrapbookingWebthe quantum ﬂuctuations disturbing the classical Ising ring H0(c) with GRF. It is equivalent to the simple classical antiferromagnetic Ising chain with GRF. Its solutions can be categorized as one-kink states, three-kink states, etc. The 2N one-kink states serve as the degenerate ground states. There is a big gap of magnitude 4Uto the upper ... family group sheet freeWebJul 21, 2024 · In this paper, we work on the pure and mixed cluster models with periodic boundary condition. The first purpose is to establish the concept of quantum cluster kink. … cooking scrambled eggs in stainless steel pan