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For a class of frustrated spin lattices including e.g. the 1D sawtooth chain, the 2D kagom\'e and checkerboard, as well as the 3D pyrochlore lattices we construct exact product eigenstates consisting of several independent, localized…

强关联电子 · 物理学 2007-05-23 J. Richter , J. Schulenburg , A. Honecker , J. Schnack , H. -J. Schmidt

Strongly frustrated antiferromagnets such as the magnetic molecule {Mo72Fe30}, the kagome, or the pyrochlore lattice exhibit a variety of fascinating properties like low-lying singlets, magnetization plateaus as well as magnetization jumps.…

强关联电子 · 物理学 2007-08-09 J. Schnack , H. -J. Schmidt , A. Honecker , J. Schulenburg , J. Richter

Plateaus can be observed in the zero-temperature magnetization curve of quantum spin systems at rational values of the magnetization. In one dimension, the appearance of a plateau is controlled by a quantization condition for the…

强关联电子 · 物理学 2007-05-23 A. Honecker , J. Schulenburg , J. Richter

Recent developments concerning localized-magnon eigenstates in strongly frustrated spin lattices and their effect on the low-temperature physics of these systems in high magnetic fields are reviewed. After illustrating the construction and…

强关联电子 · 物理学 2009-11-11 J. Richter

At the magnetic saturation field, certain frustrated lattices have a class of states known as "localized multi-magnon states" as exact ground states. The number of these states scales exponentially with the number $N$ of spins and hence…

强关联电子 · 物理学 2007-05-23 Heinz-Jürgen Schmidt , Johannes Richter , Roderich Moessner

For a class of frustrated antiferromagnetic spin lattices (in particular, the square-kagom\'{e} and kagom\'{e} lattices) we discuss the impact of recently discovered exact eigenstates on the stability of the lattice against distortions.…

强关联电子 · 物理学 2013-11-18 Johannes Richter , Oleg Derzhko , Jörg Schulenburg

We present numerical evidence for the crystallization of magnons below the saturation field at non-zero temperatures for the highly frustrated spin-half kagome Heisenberg antiferromagnet. This phenomenon can be traced back to the existence…

强关联电子 · 物理学 2020-09-16 J. Schnack , J. Schulenburg , A. Honecker , J. Richter

For a class of highly frustrated antiferromagnetic quantum spin lattices the ground state exhibits a huge degeneracy in high magnetic fields due to the existence of localized magnon states. For some of these spin lattices (in particular,…

统计力学 · 物理学 2009-11-10 Oleg Derzhko , Johannes Richter

The purpose of the present paper is two-fold. On the one hand, we review some recent studies on the low-temperature strong-field thermodynamic properties of frustrated quantum spin antiferromagnets which admit the so-called localized-magnon…

强关联电子 · 物理学 2007-10-15 Oleg Derzhko , Johannes Richter , Andreas Honecker , Heinz-Jürgen Schmidt

Besides being a fascinating class of new materials, magnetic molecules provide the opportunity to study concepts of condensed matter physics in zero dimensions. This contribution will exemplify the impact of molecular magnetism on concepts…

材料科学 · 物理学 2018-05-09 J. Schnack

In this paper, we consider some frustrated spin models for which the ground states are known exactly. The concurrence, a measure of the amount of entanglement can be calculated exactly for entangled spin pairs. Quantum phase transitions…

凝聚态物理 · 物理学 2009-11-07 Indrani Bose , Emily Chattopadhyay

We study the magnetization process of the spin-$1/2$ Heisenberg antiferromagnet on a distorted square-kagome lattice by the numerical-diagonalization method. The magnetization jump at one-third of the height of the saturation is examined in…

材料科学 · 物理学 2015-10-09 Hiroki Nakano , Yasumasa Hasegawa , Toru Sakai

We study the low-temperature thermodynamic properties of a number of frustrated quantum antiferromagnets which support localized magnon states in the vicinity of the saturation field. For this purpose we use 1) a mapping of the low-energy…

强关联电子 · 物理学 2007-05-23 Oleg Derzhko , Johannes Richter

Magnetic frustration in two-dimensional spin lattices with triangular motifs underpins a series of exotic states, ranging from multi-Q configurations to disordered spin-glasses. The antiferromagnetic kagome lattice, characterized by its…

For the paradigmatic frustrated spin-half Heisenberg antiferromagnet on the kagome lattice we performed large-scale numerical investigation of thermodynamic functions by means of the finite-temperature Lanczos method for system sizes of up…

强关联电子 · 物理学 2018-10-03 J. Schnack , J. Schulenburg , J. Richter

The static and dynamic magnetic properties of the Nd$_3$Ga$_5$SiO$_{14}$ compound, which appears as the first materialization of a rare-earth kagome-type lattice, were re-examined, owing to contradictory results in the previous studies.…

Magnetic properties of the spin-1/2 kagome-like compound volborthite are studied using a high-quality polycrystalline sample. It is evidenced from magnetization and specific heat measurements that the spins on the kagome lattice still…

Above the saturation field, geometrically frustrated quantum antiferromagnets have dispersionless low-energy branches of excitations corresponding to localized spin-flip modes. Transition into a partially magnetized state occurs via…

强关联电子 · 物理学 2009-11-11 M. E. Zhitomirsky , H. Tsunetsugu

Search for a new quantum state of matter emerging in a crystal is one of recent trends in condensed matter physics. For magnetic materials, geometrical frustration and high magnetic field are two key ingredients to realize it: a…

强关联电子 · 物理学 2019-03-19 R. Okuma , D. Nakamura , T. Okubo , A. Miyake , A. Matsuo , K. Kindo , M. Tokunaga , N. Kawashima , S. Takeyama , Z. Hiroi

It is predicted that strongly interacting spins on a frustrated lattice may lead to a quantum disordered ground state or even form a quantum spin liquid with exotic low-energy excitations. However, a thorough tuning of the frustration…

强关联电子 · 物理学 2024-01-08 Jierong Wang , Y. -S. Su , M. Spitaler , P. Puphal , C. Krellner , S. E. Brown , A. Pustogow
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