2010
DOI: 10.1103/physrevb.81.014419
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Thermodynamics of multiferroic spin chains

Abstract: The minimal model to describe many spin chain materials with ferroelectric properties is the Heisenberg model with ferromagnetic nearest neighbor coupling J1 and antiferromagnetic nextnearest neighbor coupling J2. Here we study the thermodynamics of this model using a densitymatrix algorithm applied to transfer matrices. We find that the incommensurate spin-spin correlations -crucial for the ferroelectric properties and the analogue of the classical spiral pitch angledepend not only on the ratio J2/|J1| but al… Show more

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Cited by 72 publications
(95 citation statements)
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“…It should be noted that Enderle et al 9,11 extracted the spin exchange constants for the crystal structure at 1.42 K, 9,11 but Drechsler et al 13 employed the room-temperature crystal structure 10 for their calculations. In addition, the thermodynamic property study by Sirker 12 covered a wide range of temperature well above 1.42 K. Therefore, in resolving the controversy concerning the relative magnitudes of J 1 and J 2 , it is necessary to check if the crystal structure of LiCuVO 4 undergoes any significant change when the temperature is lowered from room temperature. Therefore, in the following, we first determine the crystal structure of LiCuVO 4 at 1.6 K by single-crystal neutron diffraction to ensure that the crystal structure of LiCuVO 4 does not undergo any significant change when the temperature is lowered.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…It should be noted that Enderle et al 9,11 extracted the spin exchange constants for the crystal structure at 1.42 K, 9,11 but Drechsler et al 13 employed the room-temperature crystal structure 10 for their calculations. In addition, the thermodynamic property study by Sirker 12 covered a wide range of temperature well above 1.42 K. Therefore, in resolving the controversy concerning the relative magnitudes of J 1 and J 2 , it is necessary to check if the crystal structure of LiCuVO 4 undergoes any significant change when the temperature is lowered from room temperature. Therefore, in the following, we first determine the crystal structure of LiCuVO 4 at 1.6 K by single-crystal neutron diffraction to ensure that the crystal structure of LiCuVO 4 does not undergo any significant change when the temperature is lowered.…”
Section: Introductionmentioning
confidence: 99%
“…They reproduced this observation by performing DFT calculations for LiCuVO 4 on the basis of its X-ray crystal structure (i.e., A recent inelastic neutron scattering investigation showing the two-spinon and four-spinon continuum 11 is also consistent with this observation. However, Sirker 12 re-analyzed the magnetic susceptibility and arrived at a strikingly different set of the spin exchanges (i.e., J 1  7.8 meV with J 2 /J 1   0.5). A similar conclusion was reported by Drechsler et al,13 who employed the same Hamiltonian to fit the magnetic susceptibility and magnetization data of Enderle et al 9 Furthermore, their DFT calculations led to two sets of spin exchange constants for LiCuVO 4 , which are drastically different from those they reported in ref.…”
Section: Introductionmentioning
confidence: 99%
“…∆ ≤ 1 is the exchange anisotropy, usually presenting in low-dimensional system with multiple magnetic transitions [25]. Theoretically, an XXZ-type anisotropy (∆ 1) is expected to stabilize a vector chiral order [22]. And recent experiment also shows that substantial exchange anisotropies exist in the edge-sharing spin-chain compounds [26].…”
Section: Model and Simulationmentioning
confidence: 99%
“…Although many experiments and theoretical studies on LiCu 2 O 2 have been performed [20][21][22][23][24], the nature of the ground state and the origin of the ferroelectricity remain under debate.…”
Section: Introductionmentioning
confidence: 99%
“…Spin-1/2 chains of Cu 2+ with FM exchange J 1 < 0 have recently been identified in oxides [6][7][8][9][10][11][12][13] on either side of the quantum critical point [14], α c = −1/ 4, that is the exact boundary between a FM and a singlet ground state (GS) for isotropic exchange. Theory indicates the possibility of exotic ground states (GS) in FM/AFM chains with isotropic or anisotropic exchange [15][16][17][18][19][20]. Such chains include [21].…”
Section: Introductionmentioning
confidence: 99%