Frustrated Heisenberg <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> model within the stretched diamond lattice of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Li</mml:mi><mml:mi>Yb</mml:mi><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>
Mitchell M. Bordelon, Chunxiao Liu, Lorenzo Posthuma, Eric Kenney, M. J. Graf, N. P. Butch, Arnab Banerjee, Stuart Calder, Leon Balents, Stephen D. Wilson
Abstract
$A\phantom{\rule{0}{0ex}}R$O${}_{2}$ ($A$=alkali, $R$=rare earth) compounds are well known for forming layered triangular lattices, but they also form other structures. One of these is a three-dimensional tetragonal form chosen by LiYbO${}_{2}$, which is experimentally and theoretically explored in this paper. An unusual spiral magnetic state forms, reflective of frustration inherent to the stretched diamond network of Yb ions. This is modeled by a Heisenberg model, which further predicts a rich phase diagram for other $A\phantom{\rule{0}{0ex}}R$O${}_{2}$ variants with the same structure.
Topics & Concepts
Heisenberg modelDiamondPhysicsCondensed matter physicsGround stateHamiltonian (control theory)MagnetizationLattice (music)Bipartite graphCrystallographyChemistryMagnetic fieldQuantum mechanicsCombinatoricsAntiferromagnetismMathematicsGraphAcousticsMathematical optimizationOrganic chemistryAdvanced Condensed Matter PhysicsHigh-pressure geophysics and materialsPhysics of Superconductivity and Magnetism