Low-energy effective theory and two distinct critical phases in a spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>frustrated three-leg spin tube

Zhao, Yang; Gong, Shou-Shu; Wang, Yongjun; Su, Gang

doi:10.1103/physrevb.86.224406

Cited by 6 publications

(3 citation statements)

References 29 publications

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“…From an immense reservoir of 1D quantum spin systems, the spin-1/2 Heisenberg tubes have recently attracted much attention [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. The term spin tube gen-erally refers to a n-leg (n ≥ 3) spin ladder with periodic boundary conditions along a rung (inter-chain) direction.…”

Section: Introductionmentioning

confidence: 99%

Spin frustration of a spin-1/2 Ising–Heisenberg three-leg tube as an indispensable ground for thermal entanglement

Strečka

Alécio

Lyra

et al. 2016

Journal of Magnetism and Magnetic Materials

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The spin-1/2 Ising-Heisenberg three-leg tube composed of the Heisenberg spin triangles mutually coupled through the Ising inter-triangle interaction is exactly solved in a zero magnetic field. By making use of the local conservation for the total spin on each Heisenberg spin triangle the model can be rigorously mapped onto a classical composite spin-chain model, which is subsequently exactly treated through the transfer-matrix method. The ground-state phase diagram, correlation functions, concurrence, Bell function, entropy and specific heat are examined in detail. It is shown that the spin frustration represents an indispensable ground for a thermal entanglement, which is quantified with the help of concurrence. The specific heat displays diverse temperature dependences, which may include a sharp low-temperature peak mimicking a temperature-driven first-order phase transition. It is convincingly evidenced that this anomalous peak originates from massive thermal excitations from the doubly degenerate ground state towards an excited state with a high macroscopic degeneracy due to chiral degrees of freedom of the Heisenberg spin triangles.

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Section: Introductionmentioning

confidence: 99%

Spin frustration of a spin-1/2 Ising–Heisenberg three-leg tube as an indispensable ground for thermal entanglement

Strečka

Alécio

Lyra

et al. 2016

Journal of Magnetism and Magnetic Materials

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“…Therefore, with geometrical frustration triggering a lot of investigations by several experimental methods as well as by theoretical studies [see, for instance, Refs. 16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47 and articles cited therein] due to novelties of the magnetic properties of this compound, this material clearly is of great interest from the fundamental physics as well as from the applications angle.…”

mentioning

confidence: 99%

Novel dielectric anomalies due to spin-chains above and below Néel temperature in Ca3Co2O6

Basu

Iyer

Singh

et al. 2013

Sci Rep

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We bring out novel dielectric behavior of a spin-chain compound, Ca 3 Co 2 O 6 , undergoing Néel order at (T N 5) 24 K. It is found that the virgin curve in the plot of isothermal dielectric constant (e') versus magnetic-field lies outside the 'butterfly-shaped' envelope curve well below T N (e.g., 2.6 K), with a signature of a partial arrest of the high-field magnetoelectric (ME) phase in zero-field after travelling through magnetic-field-induced magnetic transitions. This behavior is in contrast to that observed in the isothermal magnetization data. Thus, this work brings out a novel case for 'phase-coexistence phenomenon' due to ME coupling. Another strange finding is that there is a weak, but a broad, peak in e' around 85-115 K well above T N , attributable to incipient spin-chain magnetic ordering. This finding should inspire further work to study ME coupling on artificial assemblies of magnetic chains, also keeping in mind miniaturization required for possible applications.T he search for materials with multiferroicity (for instance, those in which magnetic ordering and ferrolectricity are coupled) and with strong magnetolectric (ME) coupling has picked up momentum in recent years 1,2 due to application potential of such materials as well as from the fundamental science angle. As a result of such a coupling between seemingly different phenomena, these two phases can intriguingly coexist under favorable circumstances 3 , bearing relevance to the currently active topic of 'phase-coexistence phenomenon' in general in solids 4 . It is therefore of great interest to search for novel aspects of such a phase-coexistence situations arising out of this cross-coupling -an area which is yet to pick-up momentum. Another area remaining largely unexplored theoretically as well as experimentally is the investigation of ME coupling in magnetically isolated spin-chains, though this question was previously addressed in an organic one-dimensional quantum magnet and spin-Peierls instability was proposed to play a role on ME coupling 5 . Therefore, in order to enable magnetically controllable electric effects, for miniaturization of devices for applications commonly in particular, it is important to investigate whether the ME coupling within spin-chains (in the paramagnetic state) is in general more widespread without any restriction on spin values. Here, we demonstrate experimentally that the naturally occurring spin-chain oxide, Ca 3 Co 2 O 6 6 , with spin 5 2 on Co, turns out to be a novel material with 'exotic' dielectric properties, providing an ideal playground to probe both these aspects. We carried out complex dielectric measurements for this compound as a function of temperature (T) and magnetic-field (H). We find distinct intriguing features attributable to (i) a novel magnetoelectric phase-coexistence phenomenon following a magnetic-field-induced transition in the magnetically ordered state, and (ii) magnetoelectric coupling effect from spin-chains well above long range magnetic ordering.The Co spin-chains are place...

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“…In this model, we consider antiferromagnetic Heisenberg interactions J > 0 and J ′ k > 0 (k = 1, 2), and a ferromagnetic Heisenberg-type interaction between S tot,j and χ j (K > 0). As the SCC condition, we assume that the inter-cluster interactions J ′ k (k = 1, 2) are much smaller than the intra-cluster interactions J and K. It is worthfully noted that intensive studies on TSTs have been performed both theoretically [28][29][30][31][32][33][34][35][36][37][38][39][40] and experimentally [41][42][43][44][45][46], while to the best of our knowledge, the spin-chirality interaction has not been considered so far. Realizability of this interaction is discussed below.…”

mentioning

confidence: 99%

Quasi-fractionalization of spin in a cluster-based Haldane state supported by chirality of a triangular spin tube

Sugimoto,

Tohyama

2021

Preprint

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Fractionalization of quantum degrees of freedom holds the key to finding new phenomena in physics, e.g., the quark model in hadron physics, the spin-charge separation in strongly-correlated electron systems, and the fractional quantum Hall effect. A typical example of the fractionalization in quantum spin systems is the spin-1 Haldane state, whose intriguing characteristics are well described by fractionalized S = 1/2 virtual spins in a bilinear-biquadratic spin-1 chain, the so-called Affleck-Kennedy-Lieb-Tasaki model, delivering two individual spin-1/2 degrees of freedom as edge states.Here we theoretically propose an exotic extension of the Haldane state and chirality in a triangular spin tube, inducing a quasi-fractionalization of spin-1/2 degree of freedom, i.e., a quarter spin. Existence of the edge state is confirmed both analytically and numerically, combining a low-energy perturbation theory and variational matrix-product state method. Our study can not only propose a new quantum spin property but pave a way to novel quantum states of matter.

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Low-energy effective theory and two distinct critical phases in a spin-12frustrated three-leg spin tube

Cited by 6 publications

References 29 publications

Spin frustration of a spin-1/2 Ising–Heisenberg three-leg tube as an indispensable ground for thermal entanglement

Spin frustration of a spin-1/2 Ising–Heisenberg three-leg tube as an indispensable ground for thermal entanglement

Novel dielectric anomalies due to spin-chains above and below Néel temperature in Ca3Co2O6

Quasi-fractionalization of spin in a cluster-based Haldane state supported by chirality of a triangular spin tube

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