Phase diagram of an anisotropic frustrated ferromagnetic spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math>chain in a magnetic field: A density matrix renormalization group study

Heidrich-Meisner, Fabian; McCulloch, Ian P.; Kolezhuk, A. K.

doi:10.1103/physrevb.80.144417

Cited by 75 publications

(22 citation statements)

References 53 publications

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“…In a very recent density-matrix renormalization group study the anisotropic model at finite magnetization was investigated. 15 A dimer phase was not found to be stable, instead it was shown that for most parameters a chiral phase or a spin liquid phase (SDW 2 phase) occur.…”

Section: The Anisotropic Casementioning

confidence: 99%

Thermodynamics of multiferroic spin chains

Sirker

2010

Phys. Rev. B

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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 also strongly on temperature. We study small easy-plane anisotropies which can stabilize a vector chiral order as well as the finite-temperature signatures of multipolar phases, stable at finite magnetic field. Furthermore, we fit the susceptibilities of LiCuVO4, LiCu2O2, and Li2ZrCuO4. Contrary to the literature, we find that for LiCuVO4 the best fit is obtained with J2 ∼ 90 K and J2/|J1| ∼ 0.5 and show that these values are consistent with the observed spin incommensurability. Finally, we discuss our findings concerning the incommensurate spin-spin correlations and multipolar orders in relation to future experiments on these compounds.

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Section: The Anisotropic Casementioning

confidence: 99%

Thermodynamics of multiferroic spin chains

Sirker

2010

Phys. Rev. B

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“…[16][17][18][19][20] Despite its simplicity, the 1D J 1 -J 2 Heisenberg model has been shown to exhibit various unconventional phases under magnetic field ͑as we summarize below͒. [21][22][23][24] In this paper we aim to clarify the nature of the phases in the ground-state phase diagram of the 1D spin-1 2 J 1 -J 2 Heisenberg model under magnetic field, when both nearest-and next-nearest-neighbor exchange couplings are antiferromagnetic ͑AF͒. To this end, we study in detail spin correlations in each phase using the numerical density-matrix renormalization-group ͑DMRG͒ method as well as lowenergy effective theory based on bosonization.…”

Section: Introductionmentioning

confidence: 99%

Magnetic phase diagram of the spin-12antiferromagnetic zigzag ladder

et al. 2010

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We study the one-dimensional spin-1 2 Heisenberg model with antiferromagnetic nearest-neighbor J 1 and next-nearest-neighbor J 2 exchange couplings in magnetic field h. With varying dimensionless parameters J 2 / J 1 and h / J 1 , the ground state of the model exhibits several phases including three gapped phases ͑dimer, 1/3-magnetization plateau, and fully polarized phases͒ and four types of gapless Tomonaga-Luttinger liquid ͑TLL͒ phases which we dub TLL1, TLL2, spin-density-wave ͑SDW 2 ͒, and vector chiral phases. From extensive numerical calculations using the density-matrix renormalization-group method, we investigate various ͑multiple-͒spin-correlation functions in detail and determine dominant and subleading correlations in each phase. For the one-component TLLs, i.e., the TLL1, SDW 2 , and vector chiral phases, we fit the numerically obtained correlation functions to those calculated from effective low-energy theories of TLLs and find good agreement between them. The low-energy theory for each critical TLL phase is thus identified, together with TLL parameters which control the exponents of power-law decaying correlation functions. For the TLL2 phase, we develop an effective low-energy theory of two-component TLL consisting of two free bosons ͑central charge c =1+1͒, which explains numerical results of entanglement entropy and Friedel oscillations of local magnetization. Implications of our results to possible magnetic phase transitions in real quasi-onedimensional compounds are also discussed.

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“…[6][7][8][9][10] By comparing the measured thermomagnetic properties with theoretical calculations, the role of interchain interactions J i , anisotropy ∆, and other sub-leading interactions can be inferred. [11][12][13]10] Spin-ladders can be thought of as an intermediate system between purely 1D spin-chains and 2D spin-sheets. [14,15] The correlated physics is more intricate than for spin-chains without the full complexity of a 2D magnetic lattice.…”

Section: Introductionmentioning

confidence: 99%

Dominant ferromagnetism in the spin-1/2 half-twist ladder 334 compounds, Ba₃Cu₃In₄O₁₂and Ba₃Cu₃Sc₄O₁₂

Kumar¹,

Soos²,

Broholm³

et al. 2012

J. Phys.: Condens. Matter

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Phase diagram of an anisotropic frustrated ferromagnetic spin-12chain in a magnetic field: A density matrix renormalization group study

Cited by 75 publications

References 53 publications

Thermodynamics of multiferroic spin chains

Thermodynamics of multiferroic spin chains

Magnetic phase diagram of the spin-12antiferromagnetic zigzag ladder

Dominant ferromagnetism in the spin-1/2 half-twist ladder 334 compounds, Ba₃Cu₃In₄O₁₂and Ba₃Cu₃Sc₄O₁₂

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Phase diagram of an anisotropic frustrated ferromagnetic spin-12chain in a magnetic field: A density matrix renormalization group study

Cited by 75 publications

References 53 publications

Thermodynamics of multiferroic spin chains

Thermodynamics of multiferroic spin chains

Magnetic phase diagram of the spin-12antiferromagnetic zigzag ladder

Dominant ferromagnetism in the spin-1/2 half-twist ladder 334 compounds, Ba3Cu3In4O12and Ba3Cu3Sc4O12

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Dominant ferromagnetism in the spin-1/2 half-twist ladder 334 compounds, Ba₃Cu₃In₄O₁₂and Ba₃Cu₃Sc₄O₁₂