Magnetic quantum criticality in quasi‐one‐dimensional Heisenberg antiferromagnet

Shaginyan, V. R.; Stephanovich, V. A.; Попов, К. Г.; Кириченко, Е. В.; Artamonov, S.A.

doi:10.1002/andp.201500352

Cited by 12 publications

(11 citation statements)

References 52 publications

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“…7. These facts support our conclusion that SCQSL of ZnCu 3 (OH) 6 Cl 2 behaves like both the HF electron liquid of YbRh 2 Si 2 and the insulator Cu(C 4 H 4 N 2 )(NO 3 ) 2 [51,52].…”

Section: Thermodynamic Propertiessupporting

confidence: 88%

Thermodynamic, Dynamic, and Transport Properties of Quantum Spin Liquid in Herbertsmithite from an Experimental and Theoretical Point of View

et al. 2019

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In our review we focus on the quantum spin liquid (QSL), defining the thermodynamic, transport and relaxation properties of geometrically frustrated magnet (insulators) represented by herbertsmithite ZnCu3(OH)6Cl2. QSL is a quantum state of matter having neither magnetic order nor gapped excitations even at zero temperature. QSL along with heavy fermion metals can form a new state of matter induced by the topological fermion condensation quantum phase transition. The observation of QSL in actual materials such as herbertsmithite is of fundamental significance both theoretically and technologically, as it could open a path to creation of topologically protected states for quantum information processing and quantum computation. It is therefore of great importance to establish the presence of a gapless QSL state in one of the most prospective material herbertsmithite. In this respect, interpretation of current theoretical and experimental studies of herbertsmithite are controversial in their implications. Based on published experimental data augmented by our theoretical analysis, we present evidence for the the existence of a QSL in the geometrically frustrated insulator herbertsmithite ZnCu3(OH)6Cl2, providing a strategy for unambiguous identification of such a state in other materials. To clarify the nature of QSL in herbertsmithite, we recommend measurements of heat transport, low-energy inelastic neutron scattering, and optical conductivity σ in ZnCu3(OH)6Cl2 crystals subject to an external magnetic field at low temperatures. Our analysis of the behavior of σ in herbertsmithite justifies this set of measurements, which can provide conclusive experimental demonstration of the nature of its spinon-composed quantum spin liquid. Theoretical study of the optical conductivity of herbertsmithite allows us to expose the physical mechanisms responsible for its temperature and magnetic-field dependence. We also suggest that artificially or spontaneous introducing inhomogeneity at nanoscale into ZnCu3(OH)6Cl2 can both stabilize its QSL and simplify its chemical preparation, and can provide for tests that elucidate the role of impurities. We make predictions of the results of specified measurements related to the dynamical, thermodynamic and transport properties in the case of a gapless QSL.

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“…7. These facts support our conclusion that SCQSL of ZnCu 3 (OH) 6 Cl 2 behaves like both the HF electron liquid of YbRh 2 Si 2 and the insulator Cu(C 4 H 4 N 2 )(NO 3 ) 2 [51,52].…”

Section: Thermodynamic Propertiessupporting

confidence: 88%

Thermodynamic, Dynamic, and Transport Properties of Quantum Spin Liquid in Herbertsmithite from an Experimental and Theoretical Point of View

et al. 2019

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“…When the magnetic field is larger than the saturation field, dilute magnon behaviour is evidenced by the exponential decay of the susceptibility; III) Using our analytical and numerical results we precisely determine the quantum scalings and magnetic properties of the ideal spin-1/2 antiferromagnet Cu(C 4 H 4 N 2 )(NO 3 ) 2 (denoted by CuPzN for short) [21]. We also find that the magnetization peak used in experiment [21,22,35] is not a good quantity to map out the finite temperature TLL phase boundary. Instead one should use the Wilson ratio or the specific heat peaks.…”

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confidence: 81%

Quantum criticality of spinons

Jiang

et al. 2017

Phys. Rev. B

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The free fermion nature of interacting spins in one dimensional (1D) spin chains still lacks a rigorous study. In this letter we show that the length-1 spin strings significantly dominate critical properties of spinons, magnons and free fermions in the 1D antiferromagnetic spin-1/2 chain. Using the Bethe ansatz solution we analytically calculate exact scaling functions of thermal and magnetic properties of the model, providing a rigorous understanding of the quantum criticality of spinons. It turns out that the double peaks in specific heat elegantly mark two crossover temperatures fanning out from the critical point, indicating three quantum phases: the Tomonaga-Luttinger liquid (TLL), quantum critical and fully polarized ferromagnetic phases. For the TLL phase, the Wilson ratio RW = 4Ks remains almost temperature-independent, here Ks is the Luttinger parameter. Furthermore, applying our results we precisely determine the quantum scalings and critical exponents of all magnetic properties in the ideal 1D spin-1/2 antiferromagnet Cu(C4H4N2)(NO3)2 recently studied in Phys. Rev. Lett. 114, 037202 (2015)]. We further find that the magnetization peak used in experiments is not a good quantity to map out the finite temperature TLL phase boundary. Of central importance to the study of the 1D spin-1/2 antiferromagnetic Heisenberg chain is the understanding of spin excitations [1,[3][4][5][6][7][8][9][10][11][12][13]. Elementary spin excitations in this model may exhibit quasi-particle behaviour which is described by spinons carrying half a unit of spin. Such fractional quasiparticles are responsible for the TLL in the model [10,14,15].Regarding to the Bethe ansatz solution of the 1D spin-1/2 chain, a significant development is Takahashi's discovery of spin string patterns [2], i.e., magnon bound states with different string lengths. Takahashi's spin strings give one full access to the thermodynamics of the model through Yang and Yang's grand canonical approach [18], namely the so-called thermodynamic Bethe ansatz (TBA) equations [2]. However, the problems of how such spin strings determine the free fermion nature of spinons and how spin strings comprise universal scalings of thermal and magnetic properties still lack a rigorous understanding. In this paper we present a full answer to these questions.Using spin string solutions to the TBA equations, we obtain the following results: I) we obtain exact scaling functions, critical exponents and a benchmark of quantum magnetism for the 1D spin-1/2 Heisenberg chain, revealing the microscopic origin of the quasiparticle spinons, free fermions and magnons that emerge in different physical regimes; II) We find that the Wilson ratio [19,20], the ratio between the susceptibility χ and the specific heat c v divided by the temperature T ,πkB gµB 2 χ/(c v /T ), significantly characterises the TLL of spinons and marks the crossover temperature between the quantum critical phase and the TLL [21], see Fig. 1. When the magnetic field is larger than the saturation field, dilute magnon beh...

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“…In 1D quantum spin liquid FCQPT plays a role of QCP taking place at H = H s . Here H s is the saturation magnetic field, where QCP occurs, for near QCP taking place at H = H s and T = 0, the fermion spectrum becomes almost flat, and the fermion (spinon) effective mass diverges, M * ∝ M/p F H → ∞, due to kinematic mechanism, since the Fermi momentum p F H → 0 of becoming empty subband [95,96]. In other words, at H = H s both antiferromagnetic sublattices align in the field direction i.e.…”

Section: One-dimensional Quantum Spin Liquid and Other Possible Realimentioning

confidence: 99%

“…As a result, this new state at H > H s is protected by the gap rather than by the Volovik topological number [16,18]. Nonetheless, at elevated temperatures the system bears fingerprints of FC with the behavior very similar to that of HF compounds with approximately flat bands [95,96], including the LFL and NFL regimes. Note that recently a new state of matter, quasi-Fermi liquid, has been introduced by Rozhkov [102] in context of 1D Fermi liquid, while Lebed observed that applicability of Fermi-liquid theory restores in quasi-one-dimensional conductors [103].…”

Section: One-dimensional Quantum Spin Liquid and Other Possible Reali...mentioning

confidence: 99%

“…Theory of 1D liquids is still under construction and recent results show that the liquids can exhibit LFL, non-Fermi liquid (NFL) and crossover behavior [101][102][103]. Recent measurements on the insulator CuPzN [92] allow us to analyze the properties of 1D quantum spin liquid [95,96]. In Fig.…”

Section: One-dimensional Quantum Spin Liquid and Other Possible Reali...mentioning

confidence: 99%

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Strongly correlated Fermi systems as a new state of matter

Shaginyan¹,

Msezane²,

Japaridze³

et al. 2016

Front. Phys.

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The aim of this review paper is to expose a new state of matter exhibited by strongly correlated Fermi systems represented by various heavy-fermion (HF) metals, two-dimensional liquids like $\rm ^3He$, compounds with quantum spin liquids, quasicrystals, and systems with one-dimensional quantum spin liquid. We name these various systems HF compounds, since they exhibit the behavior typical of HF metals. In HF compounds at zero temperature the unique phase transition, dubbed throughout as the fermion condensation quantum phase transition (FCQPT) can occur; this FCQPT creates flat bands which in turn lead to the specific state, known as the fermion condensate. Unlimited increase of the effective mass of quasiparticles signifies FCQPT; these quasiparticles determine the thermodynamic, transport and relaxation properties of HF compounds. Our discussion of numerous salient experimental data within the framework of FCQPT resolves the mystery of the new state of matter. Thus, FCQPT and the fermion condensation can be considered as the universal reason for the non-Fermi liquid behavior observed in various HF compounds. We show analytically and using arguments based completely on the experimental grounds that these systems exhibit universal scaling behavior of their thermodynamic, transport and relaxation properties. Therefore, the quantum physics of different HF compounds is universal, and emerges regardless of the microscopic structure of the compounds. This uniform behavior allows us to view it as the main characteristic of a new state of matter exhibited by HF compounds.Comment: Review paper, 20 pages, 15 figures, accepted by Frontiers of Physics. arXiv admin note: text overlap with arXiv:1311.0629, minor typos correcte

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Magnetic quantum criticality in quasi‐one‐dimensional Heisenberg antiferromagnet

Cited by 12 publications

References 52 publications

Thermodynamic, Dynamic, and Transport Properties of Quantum Spin Liquid in Herbertsmithite from an Experimental and Theoretical Point of View

Thermodynamic, Dynamic, and Transport Properties of Quantum Spin Liquid in Herbertsmithite from an Experimental and Theoretical Point of View

Quantum criticality of spinons

Strongly correlated Fermi systems as a new state of matter

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