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We construct a Hubbard model with a nearly flat band whose quantum geometry can be tuned independently of the energy dispersion and the Coulomb interaction. We show that, when the nearly flat band is half-filled, the exact ground state of…

Strongly Correlated Electrons · Physics 2026-03-03 Taisei Kitamura , Hiroki Nakai , Hosho Katsura , Ryotaro Arita

In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs. Therefore, it is explained how the respective ground state…

Disordered Systems and Neural Networks · Physics 2015-05-19 O. Melchert , A. K. Hartmann

Three different tensor network optimization algorithms are employed to accurately determine the ground state and thermodynamic properties of the spin-3/2 kagome Heisenberg antiferromagnet. We found that the $\sqrt{3} \times \sqrt{3}$ state,…

Strongly Correlated Electrons · Physics 2016-09-20 Tao Liu , Wei Li , Gang Su

The quantum periodic XXZ chain with alternating spins is studied. The properties of the related R-matrix and Hamiltonians are discussed. A compact expression for the ground state energy is obtained. The corresponding conformal anomaly is…

High Energy Physics - Theory · Physics 2008-11-26 Andrei Bytsko , Anastasia Doikou

Using the quantum Hamiltonian for a gravitational system with boundary, we find the partition function and derive the resulting thermodynamics. The Hamiltonian is the boundary term required by functional differentiability of the action for…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Seth A. Major , Kevin L. Setter

Electronic spins can form long-range entangled phases of condensed matter named quantum spin liquids. Their existence is conceptualized in models of two- or three-dimensional frustrated magnets that evade symmetry-breaking order down to…

The Z2 topological invariant is defined in the chiral d-wave superconductor having a triangular lattice in the presence of the 120 degrees magnetic ordering. By analyzing the Z2 invariant, we determine the conditions of implementing…

Superconductivity · Physics 2018-05-23 Valery V. Val'kov , Anton O. Zlotnikov , Maxim S. Shustin

The thermodynamics of the quantum Heisenberg antiferromagnet on a square lattice is revisited through a linearized spin-wave theory which is well defined at any finite temperature. We re-examine in details the temperature dependence of the…

Strongly Correlated Electrons · Physics 2009-12-31 M. M. Liang , Y. H. Su

Frustrated quantum magnets pose well-defined questions concerning quantum fluctuation effects and the nature of the many-body wavefunction, which challenge theory, numerics, experiment and materials synthesis. The S = 1/2 triangular-lattice…

Strongly Correlated Electrons · Physics 2017-09-28 Y. Cui , J. Dai , P. Zhou , P. S. Wang , T. R. Li , W. H. Song , L. Ma , Z. Zhang , S. Y. Li , G. M. Luke , B. Normand , T. Xiang , W. Yu

New physics can emerge in magnetic materials where quantum fluctuations are enhanced due to reduced dimensionality and strong frustration. One long sought example is the resonating-valence-bond (RVB) state, where atomic magnetic moments are…

Strongly Correlated Electrons · Physics 2013-07-19 Tian-Heng Han , Joel S. Helton , Shaoyan Chu , Daniel G. Nocera , Jose A. Rodriguez-Rivera , Collin Broholm , Young S. Lee

Problems of temperature behavior of specific heat are solved by the entropy simulation method for Ising models on a simple square lattice and a square spin ice (SSI) lattice with nearest neighbor interaction, models of hexagonal lattices…

Disordered Systems and Neural Networks · Physics 2018-01-11 Yu. A. Shevchenko , A. G. Makarov , P. D. Andriushchenko , K. V. Nefedev

We present a microscopic theory of zero-temperature order parameter and pseudospin stiffness reduction due to quantum fluctuations in the ground state of double-layer quantum Hall ferromagnets. Collective excitations in this systems are…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yogesh N. Joglekar , Allan H. MacDonald

TmZn2GaO5 is a newly synthesized triangular lattice magnet that exhibits a unique quantum phase characterized by strong Ising anisotropy, a pseudo-doublet crystal electric field ground state, and a low-energy gapped excitation at the K…

We investigate the rich quantum phase diagram of Wegner's theory of discrete Ising gauge fields interacting with $U(1)$ symmetric single-component fermion matter hopping on a two-dimensional square lattice. In particular limits the model…

Strongly Correlated Electrons · Physics 2022-06-20 Umberto Borla , Bhilahari Jeevanesan , Frank Pollmann , Sergej Moroz

We have implemented three approaches to describe the thermodynamic properties of ferrimagnetic ($S=5/2, s=2$) spin chains. The application of cumulant expansion has been generalized to the ferrimagnetic chain in the presence of an external…

Strongly Correlated Electrons · Physics 2009-11-11 J. Abouie , S. A. Ghasemi , A. Langari

Magnetization, magnetocaloric, calorimetric, neutron and X-ray diffraction and inelastic neutron scattering measurements are performed on single crystals of BaCdVO(PO$_4$)$_2$. The low-temperature crystal structure is found to be of a lower…

Strongly Correlated Electrons · Physics 2019-11-07 V. K. Bhartiya , K. Yu. Povarov , D. Blosser , S. Bettler , Z. Yan , S. Gvasaliya , S. Raymond , E. Ressouche , K. Beauvois , J. Xu , F. Yokaichiya , A. Zheludev

Geometrically frustrated triangular-lattice magnets provide fertile ground for realizing intriguing quantum phases such as spin supersolids. A common expectation is that spin-orbit coupling (SOC), which breaks continuous spin rotational…

Strongly Correlated Electrons · Physics 2026-01-30 Seongjun Park , Sung-Min Park , Yun-Tak Oh , Hyun-Yong Lee , Eun-Gook Moon

We propose a family of layered quantum spin-orbital models as a platform to study fractionalization, unconventional forms of symmetry-breaking order, and their possible coexistence. The models are built by stacking $N$ layers of a…

Strongly Correlated Electrons · Physics 2026-05-25 Pedro M. Cônsoli , Aayush Vijayvargia , Onur Erten

We study the low-temperature physics of the $SU(2)$-symmetric spin-$1/2$ Heisenberg antiferromagnet on a pyrochlore lattice and find fingerprint evidence for the thermal spin-ice state in this frustrated quantum magnet. Our conclusions are…

Strongly Correlated Electrons · Physics 2016-05-04 Yuan Huang , Kun Chen , Youjin Deng , Nikolay Prokof'ev , Boris Svistunov

Motivated by the spate of recent experimental and theoretical interest in Mott insulating S=1 triangular lattice magnets, we consider a model S=1 Hamiltonian on a triangular lattice interacting with rotationally symmetric biquadratic…

Strongly Correlated Electrons · Physics 2012-09-10 Ribhu K. Kaul