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We present a model compound with a spin-1/2 spatially anisotropic frustrated square lattice, in which three antiferromagnetic interactions and one ferromagnetic interaction are competing. We observe an unconventional gradual increase in the…

Strongly Correlated Electrons · Physics 2021-06-24 H. Yamaguchi , Y. Iwasaki , Y. Kono , T. Okubo , S. Miyamoto , Y. Hosokoshi , A. Matsuo , T. Sakakibara , T. Kida , M. Hagiwara

Geometrical frustration describes situations where interactions are incompatible with the lattice geometry and stabilizes exotic phases such as spin liquids. Whether geometrical frustration of magnetic interactions in metals can induce…

Strongly Correlated Electrons · Physics 2015-04-28 Y. Tokiwa , C. Stingl , M. S. Kim , T. Takabatake , P. Gegenwart

We report the magnetic and calorimetric measurements in single crystal samples of the square lattice $J_{1}-J_{2}$ quantum antiferromagnet BaCdVO(PO$_4$)$_2$. An investigation of the scaling of magnetization reveals a "dimensionality…

Strongly Correlated Electrons · Physics 2019-01-14 K. Yu. Povarov , V. K. Bhartiya , Z. Yan , A. Zheludev

When magnetic order is suppressed by frustrated interactions, spins form a highly correlated fluctuating "spin liquid" state down to low temperatures. Magnetic order of local moments can also be suppressed when they are fully screened by…

Strongly Correlated Electrons · Physics 2014-03-25 Y. Tokiwa , J. J. Ishikawa , S. Nakatsuji , P. Gegenwart

Specific heat and ac magnetic susceptibility measurements, spanning low temperatures ($T \geq 40$ mK) and high magnetic fields ($B \leq 14$ T), have been performed on a two-dimensional (2D) antiferromagnet Cu(tn)Cl$_{2}$ (tn =…

We study a model of strongly correlated electrons on the square lattice which exhibits charge frustration and quantum critical behavior. The potential is tuned to make the interactions supersymmetric. We establish a rigorous mathematical…

Strongly Correlated Electrons · Physics 2008-10-08 Liza Huijse , James Halverson , Paul Fendley , Kareljan Schoutens

Motivated by theoretical and experimental studies reported by Yamaguchi et al. (Phys. Rev. B 98, 094402 (2018)), we performed a cluster mean-field analysis of an anisotropic Heisenberg model with six competing exchange interactions. We…

Strongly Correlated Electrons · Physics 2025-07-04 L. M. Ramos , F. M. Zimmer , M. Schmidt

Square-lattice systems offer a direct route for realizing 2D quantum magnetism with frustration induced by competing interactions. In this work, the square-lattice materials YbBi2IO4 and YbBi2ClO4 were investigated using a combination of…

Strongly Correlated Electrons · Physics 2024-01-26 Pyeongjae Park , G. Sala , Th. Proffen , Matthew B. Stone , Andrew D. Christianson , Andrew F. May

We report magnetization and specific heat measurements on polycrystalline samples of BaCdVO(PO_4)_2 and show that this compound is a S=1/2 frustrated square lattice with ferromagnetic nearest-neighbor (J_1) and antiferromagnetic…

Strongly Correlated Electrons · Physics 2008-08-26 R. Nath , A. A. Tsirlin , H. Rosner , C. Geibel

The interplay between Kondo effect, indirect magnetic interaction and geometrical frustration is studied in the Kondo lattice on the one-dimensional zigzag ladder. Using the density-matrix renormalization group (DMRG), the ground state and…

Strongly Correlated Electrons · Physics 2018-03-14 Matthias Peschke , Roman Rausch , Michael Potthoff

Magnetic frustration is a route that can lead to the emergence of novel ground states, including spin liquids and spin ices. Such frustration can be introduced through either the geometry of lattice structures or by incompatible exchange…

Resistivity in the quantum-critical fluctuation region of several metallic compounds such as the cuprates, the heavy-fermions, Fe-chalogenides and pnictides, twisted bi-layer graphene and WSe$_2$, is linear in temperature $T$ as well as in…

Strongly Correlated Electrons · Physics 2022-06-01 Chandra M. Varma

Quantum phase transitions have captured the interest of a large community in condensed-matter and atom physics research. The common feature of these very different material classes lies in the fact that the competition between low-energy…

Strongly Correlated Electrons · Physics 2014-02-19 V. Fritsch , N. Bagrets , G. Goll , W. Kittler , M. J. Wolf , K. Grube , C. -L. Huang , H. v. Löhneysen

Hexagonal CeRhSn with paramagnetic $4f$ moments on a distorted Kagome lattice displays zero-field quantum critical behavior related to geometrical frustration. We report high-resolution thermal expansion and magnetostriction measurements…

Strongly Correlated Electrons · Physics 2018-01-04 R. Kuechler , C. Stingl , Y. Tokiwa , M. S. Kim , T. Takabatake , P. Gegenwart

Results are reported for the $f$-electron intermetallic CeAuAl$_4$Ge$_2$, where the atomic arrangement of the cerium ions creates the conditions for geometric frustration. Despite this, magnetic susceptibility measurements reveal that the…

Materials Science · Physics 2017-10-04 S. Zhang , N. Aryal , K. Huang , K. -W. Chen , Y. Lai , D. Graf , T. Besara , T. Siegrist , E. Manousakis , R. E. Baumbach

Geometric frustration inhibits magnetic systems from ordering, opening a window to unconventional phases of matter. The paradigmatic frustrated lattice in three dimensions to host a spin liquid is the pyrochlore, although there remain few…

A systematic analysis of low temperature magnetic phase diagrams of Ce compounds is performed in order to recognize the thermodynamic conditions to be fulfilled by those systems to reach a quantum critical regime and, alternatively, to…

Strongly Correlated Electrons · Physics 2015-06-04 Julian G. Sereni

Quantum phase transitions (QPTs) arise as a result of competing interactions in a quantum many-body system. Kondo lattice models, containing a lattice of localized magnetic moments and a band of conduction electrons, naturally feature such…

Strongly Correlated Electrons · Physics 2015-05-20 Qimiao Si

Quantum critical behavior in heavy electron materials is typically brought about by changes in pressure or magnetic field. In this communication, we develop a simple unified model for the combined influence of pressure and magnetic field on…

Strongly Correlated Electrons · Physics 2014-06-13 Yi-feng Yang , David Pines

The easily tuned balance among competing interactions in Kondo-lattice metals allows access to a zero-temperature, continuous transition between magnetically ordered and disordered phases, a quantum-critical point (QCP). Indeed, these…

Strongly Correlated Electrons · Physics 2015-10-23 Yongkang Luo , F. Ronning , N. Wakeham , Xin Lu , Tuson Park , Zhu-an Xu , J. D. Thompson
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