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A new ``Dynamical Mean-field theory'' based approach for the Kondo lattice model with quantum spins is introduced. The inspection of exactly solvable limiting cases and several known approximation methods, namely the second-order…

Strongly Correlated Electrons · Physics 2009-11-07 D. Meyer , C. Santos , W. Nolting

We study the ground state phase diagram of the quantum spin-$1/2$ Heisenberg model on the kagom\'{e} lattice with first- ($J_1 < 0$), second- ($J_2 < 0$), and third-neighbor interactions ($J_d > 0$) by means of analytical low-energy field…

Strongly Correlated Electrons · Physics 2016-07-28 Shou-Shu Gong , Wei Zhu , Kun Yang , Oleg A. Starykh , D. N. Sheng , Leon Balents

The Kitaev-Heisenberg model on the honeycomb lattice has been studied for the purpose of finding exotic states such as quantum spin liquid and topological orders. On the kagome lattice, in spite of a spin-liquid ground state in the…

Strongly Correlated Electrons · Physics 2018-10-31 Katsuhiro Morita , Masanori Kishimoto , Takami Tohyama

The Dicke model extended to two bosons of different frequencies or equivalent generalized Jahn-Teller lattice model are shown to exhibit a spontaneous quantum phase transition between the polaron-modified "quasi-normal" and squeezed…

Quantum Gases · Physics 2009-12-18 E. Majernikova , S. Shpyrko

Using large-scale density-matrix renormalization group calculations and minimally augmented spin-wave theory, we demonstrate that the phase diagram of the quantum $S\!=\!\frac12$ $J_1$--$J_3$ ferro-antiferromagnetic model on the honeycomb…

Strongly Correlated Electrons · Physics 2025-04-22 Shengtao Jiang , Steven R. White , A. L. Chernyshev

We have studied the phase diagram and excitations of the spin-orbital model derived for a three dimensional perovskite lattice, as in KCuF_3. The results demonstrate that the orbital degeneracy drastically increases quantum fluctuations and…

Strongly Correlated Electrons · Physics 2009-10-30 Louis Felix Feiner , Andrzej M. Oles , Jan Zaanen

We study bond and spin correlations of the nearest-neighbour resonating valence bond (RVB) wavefunction for a SU($2$) symmetric $S=1/2$ antiferromagnet on the honeycomb lattice. We find that spin correlations in this wavefunction are…

Strongly Correlated Electrons · Physics 2015-07-21 Pranay Patil , Ishita Dasgupta , Kedar Damle

We investigate the ground state of the $d^1$ spin-orbital model for triply degenerate $t_{2g}$ orbitals on a triangular lattice which unifies intrinsic frustration of spin and orbital interactions with geometrical frustration. Using full or…

Strongly Correlated Electrons · Physics 2011-03-14 Jiří Chaloupka , Andrzej M. Oleś

In this article, we prove that exact representations of dimer and plaquette valence-bond ket ground states for quantum Heisenberg antiferromagnets may be formed via the usual coupled cluster method (CCM) from independent-spin product (e.g.…

Strongly Correlated Electrons · Physics 2009-08-11 D. J. J. Farnell , J. Richter , R. Zinke , R. F. Bishop

The double-perovskite compounds Sr$_2$CuTeO$_6$ and Sr$_2$CuWO$_6$ are magnetically described as quasi-two-dimensional spin-1/2 square-lattice $J_1{-}J_2$ Heisenberg antiferromagnets with predominant $J_1$ and $J_2$ exchange interactions,…

Strongly Correlated Electrons · Physics 2018-09-10 Masari Watanabe , Nobuyuki Kurita , Hidekazu Tanaka , Wataru Ueno , Kazuki Matsui , Takayuki Goto

Fourth-order strong-coupling degenerate perturbation theory is used to derive an effective low-energy Hamiltonian for the Kondo-lattice model with a depleted system of localized spins. In the strong-J limit, completely local Kondo singlets…

Strongly Correlated Electrons · Physics 2015-02-26 Irakli Titvinidze , Andrej Schwabe , Michael Potthoff

We consider a family of SU(2)-symmetric Projected Entangled Paired States (PEPS) on the square lattice, defining colored-Resonating Valence Bond (RVB) states, to describe the quantum disordered phase of the $J_1-J_2$ frustrated Heisenberg…

Strongly Correlated Electrons · Physics 2019-10-02 Didier Poilblanc , Matthieu Mambrini , Sylvain Capponi

We propose a three-dimensional multi-orbital tight-binding model for rare-earth nickelates RNiO$_3$ that treats charge, spin, orbital, and lattice degrees of freedom on equal footing. All model parameters, including the on-site interactions…

Strongly Correlated Electrons · Physics 2026-05-12 Sangeeta Rajpurohit , Liang Z. Tan , Tadashi Ogitsu , Peter E. Blöchl

Artificial atom qubits in diamond have emerged as leading candidates for a range of solid-state quantum systems, from quantum sensors to repeater nodes in memory-enhanced quantum communication. Inversion-symmetric group IV vacancy centers,…

The spin half Heisenberg antiferromagnet on the Kagome lattice, is mapped by Contractor Renormalization to a Spin-Pseudospin Hamiltonian on the triangular superlattice. Variationally, we find a ground state with columnar dimer order. Dimer…

Strongly Correlated Electrons · Physics 2007-05-23 Ran Budnik , Assa Auerbach

At 750K, LaMnO_3 has a cooperative Jahn-Teller (JT) distortion, with Mn atoms in distorted oxygen octahedra. This lifts the degeneracy of the singly-occupied $e_g$ orbitals of the Mn$^{3+}$ ions, which then become orbitally ordered. We use…

Strongly Correlated Electrons · Physics 2015-06-25 Vasili Perebeinos , Philip B. Allen

A model calculation is presented with the aim to study the interplay between magnetic and structural transitions. The model consists of an orbitally doubly degenerate conduction band and a periodic array of local moments. The band electrons…

Strongly Correlated Electrons · Physics 2007-05-23 G. Gangadhar Reddy , A. Ramakanth , S. K. Ghatak , S. N. Behera , W. Nolting , T. Venkatappa Rao

We consider the exchange Hamiltonian H_ST = -J Sum_{<rr'>} (2 S_r S_r' - 1/2) (2 T_r T_r' - 1/2) describing two isotropic spin-1/2 Heisenberg antiferromagnets coupled by a quartic term on equivalent bonds. The model is relevant for systems…

Strongly Correlated Electrons · Physics 2009-10-31 L. Guidoni , G. Santoro , S. Sorella , A. Parola , E. Tosatti

Using single crystal inelastic neutron scattering with and without application of an external magnetic field and powder neutron diffraction, we have characterized magnetic interactions in Ba$_3$Cr$_2$O$_8$. Even without field, we found that…

Strongly Correlated Electrons · Physics 2009-11-13 M. Kofu , J. -H. Kim , S. Ji , S. -H. Lee , H. Ueda , Y. Qiu , H. -J. Kang , M. Green , Y. Ueda

The absence of conventional magnetic order together with anomalous low-temperature magnetic heat capacity is often interpreted as evidence for quantum spin liquid ground states in frustrated magnets. Using a recently developed semiclassical…

Strongly Correlated Electrons · Physics 2026-04-08 Soumyaranjan Dash , Vansh Narang , Sanjeev Kumar