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Azurite, a natural mineral made up of CuO chains, is also an intriguing spin-1/2 quantum magnet. There has been much debate as to the 1-dimensional (1D) nature of this material by theorists and experimentalists alike. The focus of this…

Strongly Correlated Electrons · Physics 2012-07-23 K. C. Rule , D. A. Tennant , J. -S. Caux , M. C. R. Gibson , M. T. F. Telling , S. Gerischer , S. Süllow , M. Lang

The natural mineral azurite Cu$_3$(CO$_3$)$_2$(OH)$_2$ is a frustrated magnet displaying unusual and controversially discussed magnetic behavior. Motivated by the lack of a unified description for this system, we perform a theoretical study…

We present the results of magnetic properties and entanglement of the distorted diamond chain model for azurite using pure quantum exchange interactions. The magnetic properties and concurrence as a measure of pairwise thermal entanglement…

Statistical Mechanics · Physics 2015-06-04 Nerses Ananikian , Hrachya Lazaryan , Mikayel Nalbandyan

The spin lattice appropriate for Azurite Cu3(CO3)2(OH)2 was determined by evaluating its spin exchange interactions on the basis of first principles density functional calculations. It is found that Azurite is not described by an isolated…

Materials Science · Physics 2009-08-27 Jinhee Kang , Changhoon Lee , Reinhard K. Kremer , Myung-Hwan Whangbo

Azurite, Cu3(CO3)2(OH)2, has been considered an ideal example of a one-dimensional (1D) diamond chain antiferromagnet. Early studies of this material imply the presence of an ordered antiferromagnetic phase below $T_N \sim 1.9$ K while…

Spin-1/2 compounds A3Cu3AlO2(SO4)4 (A=K, Rb, and Cs) have one-dimensional (1D) inequilateral diamond chains. We analyze the temperature dependence of the magnetic susceptibility and determine the magnetic exchange interactions. In contrast…

We present a specific heat and inelastic neutron scattering study in magnetic fields up into the 1/3 magnetization plateau phase of the diamond chain compound azurite Cu$_3$(CO$_3$)$_2$(OH)$_2$. We establish that the magnetization plateau…

Statistical Mechanics · Physics 2009-11-13 K. C. Rule , A. U. B. Wolter , S. Süllow , D. A. Tennant , A. Brühl , S. Köhler , B. Wolf , M. Lang , J. Schreuer

High magnetic field $^{63,65}$Cu NMR spectra were used to determine the local spin polarization in the 1/3 magnetization plateau of azurite, Cu$_3$(CO$_3$)$_2$(OH)$_2$, which is a model system for the distorted diamond antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-04-03 F. Aimo , S. Kramer , M. Klanjsek , M. Horvatic , C. Berthier , H. Kikuchi

We consider the antiferromagnetic spin-1/2 $XXZ$ Heisenberg model on a frustrated diamond-chain lattice in a $z$- or $x$-aligned external magnetic field. We use the strong-coupling approach to elaborate an effective description in the…

Strongly Correlated Electrons · Physics 2015-02-17 Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii , Oleg Derzhko

We present results of ultrasonic measurements on a single crystal of the distorted diamond-chain compound azurite Cu$_3$(CO$_3$)$_2$(OH)$_2$. Pronounced elastic anomalies are observed in the temperature dependence of the longitudinal…

Strongly Correlated Electrons · Physics 2014-07-29 Pham Thanh Cong , Bernd Wolf , Rudra Sekhar Manna , Ulrich Tutsch , Mariano de Souza , Andreas Brühl , Michael Lang

We consider the antiferromagnetic Heisenberg model on a distorted diamond chain and use the localized-magnon picture adapted to a distorted geometry to discuss some of its high-field low-temperature properties. More specifically, in our…

Strongly Correlated Electrons · Physics 2013-01-01 Oleg Derzhko , Johannes Richter , Olesia Krupnitska

We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating…

Strongly Correlated Electrons · Physics 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

Magnetic properties of the natural mineral Cu$_2$(OH)$_2$CO$_3$ (malachite) were investigated through DC and AC susceptibility measurements. The analysis of the low-temperature part reveals a quantum spin-gap behavior with $\Delta \approx…

Strongly Correlated Electrons · Physics 2009-10-31 E. Janod , L. Leonyuk , V. Maltsev

We investigate magnetic properties of the $s$ = 1/2 compound K$_{2}$Cu$_{3}$(MoO$_{4}$)$_{4}$ by combining magnetic susceptibility, magnetization, specific heat, and electron spin resonance (ESR) with density functional calculations. Its…

We report on high-resolution acoustic, specific-heat and thermal expansion measurements in the vicinity of the antiferromagnetic phase transition at T_N = 1.88 K on a high-quality single crystal of the natural mineral azurite. A detailed…

Strongly Correlated Electrons · Physics 2013-07-12 P. T. Cong , B. Wolf , R. S. Manna , A. Brühl , S. Köhler , M. Lang

The magnetic properties of the alkaline earth oxocuprate BaCu3O4 are investigated. We show that the characteristic Cu3O4 layers of this material can be described with diamond chains of antiferromagnetically coupled Cu 1/2 spins with only a…

Strongly Correlated Electrons · Physics 2012-04-18 Carl-Willem Rischau , Brigitte Leridon , Dorothée Colson , Anne Forget , Philippe Monod

Here we present neutron diffraction results on the mineral azurite. We have found that the crystal structure of azurite can be described in the space group $P2_1$ which is the next lower symmetric group of $P2_1/c$ as found in earlier work.…

Strongly Correlated Electrons · Physics 2015-05-20 K. C. Rule , M. Reehuis , M. C. R. Gibson , B. Ouladdiaf , M. J. Gutmann , J. -U. Hoffmann , S. Gerischer , D. A. Tennant , S. Süllow , M. Lang

The ground state and the thermodynamics of a spin-1/2 asymmetric diamond Ising--Heisenberg chain are considered. For the $XYZ$ anisotropic Heisenberg interaction, the exact calculations of the free energy, entropy, heat capacity,…

Statistical Mechanics · Physics 2011-12-09 Bohdan Lisnii

The magnetic and thermodynamic properties of spin-1/2 Heisenberg diamond chains are investigated in three different cases: (a) J1, J2, J3>0 (frustrated); (b) J1, J3<0, J2>0 (frustrated); and (c) J1, J2>0, J3<0 (non-frustrated). The density…

Strongly Correlated Electrons · Physics 2009-11-13 Bo Gu , Gang Su

The exactly solvable spin-1/2 Ising-Heisenberg model on diamond chain has been considered. We have found the exact results for the magnetization by using recursion relation method. The existence of the magnetization plateau has been…

Statistical Mechanics · Physics 2014-07-23 N. S. Ananikian , V. V. Hovhannisyan
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