Crystallographic superstructure in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>PdSi<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>3</mml:mn></mml:msub></mml:math>compounds (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mtext>heavy</mml:mtext></mml:mrow></mml:math>rare earth)

Tang, Fei; Frontzek, Matthias; Dshemuchadse, Julia; Leisegang, Tilmann; Zschornak, Matthias; Mietrach, Robert; Hoffmann, J.-U.; Löser, W.; Gemming, Sibylle; Meyer, Dirk C.; Loewenhaupt, M.

doi:10.1103/physrevb.84.104105

Cited by 54 publications

(54 citation statements)

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“…We used it to systematically derive Lagrangians for bipartite QDMs in 2D and 3D from the corresponding microscopic Hamiltonians. We find good agreement with known results in the literature; namely, calculations up to quadratic order yield a stiffness for the square lattice QDM at the RK point equal to 1/4 compared to the exact result π/18 [5,12]; and they yield a speed of light in the gapless phase of the diamond lattice QDM c = √ J(J − V)/6 S 2 compared to the numerical result c(S = 1) √ 0.8J(J − V) [13,14].…”

Section: Discussionsupporting

confidence: 88%

“…We compare our results against the existing literature, where we find good agreement considering the large-S and quadratic approximations that we employ. For example, we derive the stiffness of the 2D square lattice QDM at a well-known critical point called the Rokhsar-Kivelson (RK) point [2], where the ground-state wave function of the system is known exactly: Our result, 1/4, is comparable to arXiv:1904.12868v2 [cond-mat.str-el] 5 Aug 2019 the exact value, π/18 [5,12]. We use instanton considerations to discuss the fate of 2D phases at finite temperature.…”

Section: Introductionmentioning

confidence: 87%

“…The terms in the cubic Hamiltonian are equivalent to combining the square lattice terms for the (12), (13), and (23)…”

Section: Cubic Latticementioning

confidence: 99%

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Generalized route to effective field theories for quantum systems with local constraints

et al. 2019

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Some of the exciting phenomena uncovered in strongly correlated systems in recent years -for instance quantum topological order, deconfined quantum criticality, and emergent gauge symmetries -appear in systems in which the Hilbert space is effectively projected at low energies in a way that imposes local constraints on the original degrees of freedom. Cases in point include spin liquids, valence bond systems, dimer models, and vertex models. In this work, we use a slave boson description coupled to a large-S path integral formulation to devise a generalised route to obtain effective field theories for such systems. We demonstrate the validity and capability of our approach by studying quantum dimer models and by comparing our results with the existing literature. Field-theoretic approaches to date are limited to bipartite lattices, they depend on a gauge-symmetric understanding of the constraint, and they lack generic quantitative predictive power for the coefficients of the terms that appear in the Lagrangians of these systems. Our method overcomes all these shortcomings and we show how the results up to quadratic order compare with the known height description of the square lattice quantum dimer model, as well as with the numerical estimate of the speed of light of the photon excitations on the diamond lattice. Finally, instanton considerations allow us to infer properties of the finite-temperature behaviour in two dimensions.

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Section: Discussionsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 87%

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Generalized route to effective field theories for quantum systems with local constraints

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“…SAED was indexed using the lattice parameters of hexagonal crystal structure (lattice parameters, a = 4.032 Å and c = 4.247 Å). Though some of the earlier reports yield superstructure formation in single crystalline R 2 TSi 3 type of materials 19 , no evidence of any such superstructure formation could be traced from the electron diffraction pattern in the defect structure compound Pr 2 Ni 0.95 Si 2.95 [Fig. 3(b)].…”

Section: Resultsmentioning

confidence: 96%

Unusual bidirectional frequency dependence of dynamical susceptibility in hexagonal intermetallic Pr2Ni0.95Si2.95

Pakhira

Mazumdar

Basu

et al. 2018

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In this study, the synthesis of a novel ternary intermetallic compound Pr2Ni0.95Si2.95 forming in single phase only by deliberately introducing vacancies in Ni/Si site is reported. The detailed studies on dc magnetization, heat capacity, ac magnetization & associated dynamical scaling, different types of non-equilibrium dynamical behaviour, viz., magnetic relaxation behaviour as a function of wait time and temperature, aging phenomena, and magnetic memory effect firmly establish that the compound exhibits spin freezing behaviour below 3.3 K (Tf). However, below Tf, temperature dependence of ac susceptibility data exhibit an additional peak that shows reverse frequency dependence to that generally observed in a glassy system. The unusual bidirectional frequency dependence in a single magnetic system is of significant interest and rarely reported in literature. Competing exchange interaction arising from c/a ~ 1 and crystallographic randomness driven magnetic phase separation has been argued to be responsible for such observation. The reverse frequency shift of the low temperature peak has been described on the basis of a simple phenomenological model proposed in this work.

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“…Just as in the 1-2-2 families, wide-ranging anomalies and phenomena have been reported (even in Gd-based systems), including competition between the Kondo effect and magnetic ordering, re-entrant spin-glass phases, geometrically frustrated and low-dimensional magnetism, non-Fermi liquid behavior, giant magnetoresistance, and an anisotropic magnetocaloric effect . One reason for the rich range of properties is that there are several structural variations with this composition, depending on the nature of T and X ions, including hexagonal (space groups P 6/mmm, P62c, P 6 3 /mmc) and orthorhombic (F mmm) materials 31,[34][35][36][37][38] . In particular, a number of these consist of honeycomb layers of T and X separated by triangularly arranged R ions 12,35 , which can give rise to frustration in the presence of nearest neighbor antiferromagnetic interactions.…”

Section: Introductionmentioning

confidence: 99%

Magnetic order inNd2PdSi3investigated using neutron scattering and muon spin relaxation

et al. 2019

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The rare-earth based ternary intermetallic compounds R2T X3 (R = rare-earth, T = transitionmetal, X = Si, Ge, Ga, In) have attracted considerable interest due to a wide range of interesting low temperature properties. Here we investigate the magnetic state of Nd2PdSi3 using neutron diffraction, muon spin relaxation (µSR) and inelastic neutron scattering (INS). This compound appears anomalous among the R2PdSi3 series, since it was proposed to order ferromagnetically, whereas others in this series are antiferromagnets. Our results confirm the onset of long range magnetic order below T0 = 17 K, where the whole sample enters the ordered state. Neutron diffraction measurements establish the presence of a ferromagnetic component in this compound, as well as an antiferromagnetic one with a propagation vector k2 = (1/2, 1/2, 1/4 − δ) (δ ≈ 0.02 − 0.03) with moments orientated exclusively along the c-axis. µSR measurements suggest that these components coexist on a microscopic level, and therefore the magnetic structure of Nd2PdSi3 is predominantly ferromagnetic, with a sinusoidally modulated antiferromagnetic contribution which reaches a maximum amplitude at 11 K, and becomes smaller upon further decreasing the temperature. INS results show the presence of crystalline-electric field (CEF) excitations above T0, and from our analysis we propose a CEF level scheme.

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Crystallographic superstructure inR2PdSi3compounds (R=heavyrare earth)

Cited by 54 publications

References 50 publications

Generalized route to effective field theories for quantum systems with local constraints

Generalized route to effective field theories for quantum systems with local constraints

Unusual bidirectional frequency dependence of dynamical susceptibility in hexagonal intermetallic Pr2Ni0.95Si2.95

Magnetic order inNd2PdSi3investigated using neutron scattering and muon spin relaxation

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