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We study the magnetization process of the $S=1/2$ antiferromagnetic spin ladder in the presence of the second and the third-neighbor couplings which lead to frustration with the typical nearest-neighbor coupling. We use degenerate…

Strongly Correlated Electrons · Physics 2009-10-31 Nobuhisa Okazaki , Kiyomi Okamoto , Toru Sakai

Frustration represents an essential feature in the behavior of magnetic materials when constraints on the microscopic Hamiltonian cannot be satisfied simultaneously. This gives rise to exotic phases of matter including spin liquids, spin…

Quantum fluctuations endow spin systems with surprisingly enriched magnetic phase diagrams. In frustrated magnets, strong quantum fluctuations boosted by either geometrical incompatibility or competitive exchange interactions stabilize…

We introduce a model compound featuring a spin-1/2 frustrated square lattice partially coupled by spin-5/2. A significant magnetization plateau exceeding 60 T could be observed, indicating a quantum state formed by $S$ = 1/2 spins in the…

The frustrated quantum spin system on the distorted diamond chain lattice is investigated using the numerical diagonalization of finite-size clusters and the level spectroscopy analysis. In the previous work this system was revealed to…

Strongly Correlated Electrons · Physics 2020-04-22 Yuki Ueno , Tomosuke Zenda , Yuta Tachibana , Kiyomi Okamoto , Tôru Sakai

We report magnetocaloric and magnetic-torque evidence that in Cs$_{2}$CuBr$_{4}$ -- a geometrically frustrated Heisenberg $S=1/2$ triangular-lattice antiferromagnet -- quantum fluctuations stabilize a series of spin states at simple…

Strongly Correlated Electrons · Physics 2015-05-13 N. A. Fortune , S. T. Hannahs , Y. Yoshida , T. E. Sherline , T. Ono , H. Tanaka , Y. Takano

We study ground-state properties of the Heisenberg frustrated spin chain with interactions up to fourth nearest neighbors by the exact-diagonalization method and the density matrix renormalization group method. We find that ferrimagnetism…

Strongly Correlated Electrons · Physics 2011-11-30 Tokuro Shimokawa , Hiroki Nakano

We study the Bose-condensed ground states of bosons in a two-dimensional optical lattice in the presence of frustration due to an effective vector potential, for example, due to lattice rotation. We use a mapping to a large-S frustrated…

Quantum Gases · Physics 2010-02-26 T. Duric , D. K. K. Lee

The structure of fractional fillings of higher Landau levels including spin subbands is systematically derived for the first time. Using topology-type commensurability arguments for 2D charged system in the presence of strong quantizing…

General Physics · Physics 2014-08-21 Janusz Jacak , Lucjan Jacak

We analyze the magnetization curve of the spin-1/2 kagome Heisenberg model in a magnetic field. Using state-of-the-art variational wavefunctions based on neural networks, we confirm the presence of robust magnetization plateaus at $m=1/3$,…

Strongly Correlated Electrons · Physics 2026-02-16 Andreas Raikos , Sylvain Capponi , Fabien Alet

Spin-1/2 Heisenberg model on the Shastry-Sutherland lattice is considered within the many-body perturbation theory developed from the exactly solved spin-1/2 Ising-Heisenberg model with the Heisenberg intradimer and Ising interdimer…

Strongly Correlated Electrons · Physics 2022-02-09 T. Verkholyak , J. Strecka

$\gamma$-${\rm Ba}_{3}{\rm CoNb}_{2}{\rm O}_{9}$ realizes a disordered simple-cubic spin-$1/2$ lattice in which Co$^{2+}$ ions randomly occupy one third of the sites, placing the system close to the site-percolation threshold for magnetic…

Systems of strongly correlated fermions on certain geometrically frustrated lattices at particular filling factors support excitations with fractional charges $\pm e/2$. We calculate quantum mechanical ground states, low--lying excitations…

Strongly Correlated Electrons · Physics 2009-11-13 E. Runge , F. Pollmann , P. Fulde

This study presents the experimental realization of a spin-1/2 zigzag-square lattice in a verdazyl-based complex, namely ($m$-Py-V-2,6-F$_2$)$[$Cu(hfac)$_2]$. Molecular orbital calculations suggest the presence of five types of frustrated…

Since the discovery of the Fractional Quantum Hall Effect in 1982 there has been considerable theoretical discussion on the possibility of fractional quantization of conductance in the absence of Landau levels formed by a quantizing…

Mesoscale and Nanoscale Physics · Physics 2019-03-05 S. Kumar , M. Pepper , S. N. Holmes , H. Montagu , Y. Gul , D. A. Ritchie , I. Farrer

We perform variational Monte-Carlo calculations to show that bosons in a rotating optical lattice will form analogs of fractional quantum Hall states when the tunneling is sufficiently weak compared to the interactions and the deviation of…

Quantum Gases · Physics 2015-05-18 R. O. Umucalilar , Erich J. Mueller

The spin-excitations of a fractional quantum Hall system are evaluated within a bosonization approach. In a first step, we generalize Murthy and Shankar's Hamiltonian theory of the fractional quantum Hall effect to the case of composite…

Materials Science · Physics 2007-05-23 R. L. Doretto , M. O. Goerbig , P. Lederer , A. O. Caldeira , C. Morais Smith

We show that the critical fields of the magnetization plateaus of the Shastry-Sutherland model decrease significantly upon increasing the ratio of inter- to intra-dimer coupling, and accordingly that the magnetization plateaus of…

Strongly Correlated Electrons · Physics 2016-06-22 D. A. Schneider , K. Coester , F. Mila , K. P. Schmidt

Magnetization plateaus in quantum magnets---where bosonic quasiparticles crystallize into emergent spin superlattices---are spectacular yet simple examples of collective quantum phenomena escaping classical description. While magnetization…

Strongly Correlated Electrons · Physics 2018-07-18 Y. Kamiya , L. Ge , Tao Hong , Y. Qiu , D. L. Quintero-Castro , Z. Lu , H. B. Cao , M. Matsuda , E. S. Choi , C. D. Batista , M. Mourigal , H. D. Zhou , J. Ma

We study the occurrence of plateaux and jumps in the magnetization curves of a class of frustrated ladders for which the Hamiltonian can be written in terms of the total spin of a rung. We argue on the basis of exact diagonalization of…

Strongly Correlated Electrons · Physics 2009-10-31 A. Honecker , F. Mila , M. Troyer