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By means of exact diagonalization we study the ground-state and the low-temperature physics of the Heisenberg antiferromagnet on the cuboctahedron and the icosidodecahedron. Both are frustrated magnetic polytopes and correspond to the…

强关联电子 · 物理学 2009-11-11 R. Schmidt , J. Richter , J. Schnack

We overview physical effects of exchange frustration and quantum spin fluctuations in (quasi-) two dimensional (2D) quantum magnets ($S=1/2$) with square, rectangular and triangular structure. Our discussion is based on the $J_1$-$J_2$ type…

强关联电子 · 物理学 2017-10-13 Burkhard Schmidt , Peter Thalmeier

We present a quantum theory of frustrated diamond lattice antiferromagnets. Considering quantum fluctuations as the predominant mechanism relieving spin frustration, we find a rich phase diagram comprising of six phases with coplanar spiral…

强关联电子 · 物理学 2009-11-13 Jean-Sebastien Bernier , Michael J. Lawler , Yong Baek Kim

Sharp quantum phase transitions typically require a large system with many particles. Here we show that for a frustrated fully-connected Ising spin network represented by trapped atomic ions, the competition between different spin orders…

量子物理 · 物理学 2011-06-17 G. -D. Lin , C. Monroe , L. -M. Duan

Frustrated magnets exhibit unusual critical behaviors: they display scaling laws accompanied by nonuniversal critical exponents. This suggests that these systems generically undergo very weak first order phase transitions. Moreover, the…

统计力学 · 物理学 2009-11-10 B. Delamotte , D. Mouhanna , M. Tissier

Frustration and quantum entanglement are two exotic quantum properties in quantum many-body systems. However, despite several efforts, an exact relation between them remains elusive. In this work, we explore the relationship between…

量子物理 · 物理学 2022-12-01 Sudipto Singha Roy , Leon Carl , Philipp Hauke

We consider the spin--orbital model for a magnetic system with singly occupied but triply degenerate $t_{2g}$ orbitals coupled into a planar, triangular lattice, as would be exemplified by NaTiO$_2$. We investigate the ground states of the…

强关联电子 · 物理学 2008-10-15 Bruce Normand , Andrzej M. Oles

In this paper, we work on the pure and mixed cluster models with periodic boundary condition. The first purpose is to establish the concept of quantum cluster kink. We clarify that there are two types of cluster kinks since there are two…

强关联电子 · 物理学 2021-08-31 Zhen-Yu Zheng , Han-Chuan Kou , Peng Li

We present a general scheme for the study of frustration in quantum systems. We introduce a universal measure of frustration for arbitrary quantum systems and we relate it to a class of entanglement monotones via an exact inequality. If all…

其他凝聚态物理 · 物理学 2012-01-06 S. M. Giampaolo , G. Gualdi , A. Monras , F. Illuminati

Frustrated lattices1-3, characterized by minor breakdown in local order in an otherwise periodic lattice, lead to simultaneous possibilities of several ground states which can trigger unique physical properties, in condensed matter systems.…

介观与纳米尺度物理 · 物理学 2014-04-07 Satyendra Prakash Pal , P. Sen

This Letter studies the decoherence in a system of two antiferromagnetically coupled spins that interact with a spin bath environment. Systems are considered that range from the rotationally invariant to highly anisotropic spin models, have…

量子物理 · 物理学 2007-05-23 S. Yuan , M. I. Katsnelson , H. De Raedt

We report on a systematic study of two dimensional, periodic, frustrated Ising models with a quantum dynamics introduced via a transverse magnetic field. The systems studied are the triangular and kagome lattice antiferromagnets, fully…

统计力学 · 物理学 2009-10-31 R. Moessner , S. L. Sondhi

We investigate the magnetic ground state and phase transitions in the frustrated three-dimensional system CaMn2P2 using first-principles calculations combined with spin-dynamics simulations. Our DFT+U calculations reveal that CaMn2P2…

强关联电子 · 物理学 2025-06-13 Bidyut Mallick , Sk. Soyeb Ali , S. K. Panda

The effect of geometrical frustration in a two-dimensional 1/4-filled strongly correlated electron system is studied theoretically, motivated by layered organic molecular crystals. An extended Hubbard model on the square lattice is…

强关联电子 · 物理学 2007-05-23 Jaime Merino , Hitoshi Seo , Masao Ogata

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…

强关联电子 · 物理学 2011-11-30 Tokuro Shimokawa , Hiroki Nakano

Frustrated magnets typically possess a large space of classical ground states. If this degeneracy is not protected by symmetry, thermal fluctuations may `select' certain states via order-by-disorder. In this article, we examine a precursor…

强关联电子 · 物理学 2024-04-02 Alwyn Jose Raja , R. Ganesh

A quantum simulator is a restricted class of quantum computer that controls the interactions between quantum bits in a way that can be mapped to certain difficult quantum many-body problems. As more control is exerted over larger numbers of…

量子物理 · 物理学 2018-02-07 J. Zhang , G. Pagano , P. W. Hess , A. Kyprianidis , P. Becker , H. Kaplan , A. V. Gorshkov , Z. -X. Gong , C. Monroe

Topological frustration arises when boundary conditions impose geometric frustration in a quantum system, creating delocalized defects in the ground states and profoundly altering the low-energy properties. While previous studies have been…

In ergodic many-body quantum systems, locally encoded quantum information becomes, in the course of time evolution, inaccessible to local measurements. This concept of "scrambling" is currently of intense research interest, entailing a deep…

Geometric frustration is a key parameter controlling electronic and magnetic properties of quantum spin liquid systems, yet remains challenging to tune. Here, we coherently drive molecular vibrations with midinfrared pulses in two organic…

强关联电子 · 物理学 2025-10-14 M. Tepie , F. Glerean , J. Ovčar , S. Priya , K. Miyagawa , H. Taniguchi , K. Kanoda , I. Lončarić , M. Dressel , M. Mitrano