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The finite-temperature density-matrix renormalization-group method is applied to the one-dimensional Kondo lattice model near half filling to study its thermodynamics. The spin and charge susceptibilities and entropy are calculated down to…

Strongly Correlated Electrons · Physics 2009-10-31 N. Shibata , H. Tsunetsugu

Dynamical properties are notoriously difficult to compute in numerical treatments of the Fermi-Hubbard model, especially in two spatial dimensions. However, they are essential in providing us with insight into some of the most important and…

Strongly Correlated Electrons · Physics 2026-02-04 Linh Pham , Ehsan Khatami

In this contribution we review the theory of integrability of quantum systems in one spatial dimension. We introduce the basic concepts such as the Yang-Baxter equation, commuting currents, and the algebraic Bethe ansatz. Quite extensively…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Klümper

The physics of the triangular lattice Hubbard model exhibits a rich phenomenology, ranging from a metal-insulator transition, intriguing thermodynamic behavior, and a putative spin liquid phase at intermediate coupling, ultimately becoming…

Numerical studies of the reduced density matrix of a gapped spin-1/2 Heisenberg antiferromagnet on a two-leg ladder find that it has the same form as the Gibbs density matrix of a gapless spin-1/2 Heisenberg antiferromagnetic chain at a…

Strongly Correlated Electrons · Physics 2013-08-28 Xiao Chen , Eduardo Fradkin

Exchange interactions in spin systems can give rise to quantum entanglement in the ground and thermal states of the systems. In this paper, we consider a spin tetramer, with spins of magnitude 1/2, in which the spins interact via…

Strongly Correlated Electrons · Physics 2007-05-23 Indrani Bose , Amit Tribedi

This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin-$1/2$ chain at finite temperature $T$. Within the quantum inverse scattering method the physically…

Mathematical Physics · Physics 2024-06-18 Frank Göhmann , Salvish Goomanee , Karol K. Kozlowski , Junji Suzuki

The magnetic and magnetocaloric properties of the mixed spin-(1/2,1) Ising-Heisenberg model on a two-leg ladder with dimer-rung alternation are exactly examined under an adiabatic demagnetization process using the transfer-matrix formalism.…

Statistical Mechanics · Physics 2021-05-27 Hamid Arian Zad , Nerses Ananikian

Strongly correlated quantum many-body systems at low dimension exhibit a wealth of phenomena, ranging from features of geometric frustration to signatures of symmetry-protected topological order. In suitable descriptions of such systems, it…

Strongly Correlated Electrons · Physics 2017-12-29 A. Nietner , C. Krumnow , E. J. Bergholtz , J. Eisert

Spin ladders are key models that act as intermediaries between one-dimensional and two-dimensional spin systems. In this study, we examine a coupled spin-$1/2$ ladder, where frustrated ladders with leg, rung, and diagonal interactions are…

Strongly Correlated Electrons · Physics 2026-02-17 Manas Ranjan Mahapatra , Rakesh Kumar

A special class of S=1 spin ladder hamiltonians, with second- neighbor exchange interactions and with anisotropies in the $z$-direction, can be mapped onto one-dimensional composite S=2 (tetrahedral S=1) models. We calculate the high…

Strongly Correlated Electrons · Physics 2009-11-11 Onofre Rojas , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz

Many frustrated spin models on three-dimensional (3D) lattices are currently being investigated, both experimentally and theoretically, and develop new types of long-range orders in their respective phase diagrams. They present…

Strongly Correlated Electrons · Physics 2023-07-06 M. G. Gonzalez , B. Bernu , L. Pierre , L. Messio

The magnetic phase diagram and the thermodynamic properties of a square lattice containing antiferromagnetically coupled spin-1/2 triangles are studied. A Heisenberg Hamiltonian with three strong intra-triangle exchange coupling constants…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

A two-leg quenched random bond disordered antiferromagnetic spin$-1/2$ Heisenberg ladder system is investigated by means of stochastic series expansion (SSE) quantum Monte Carlo (QMC) method. Thermal properties of the uniform and staggered…

Strongly Correlated Electrons · Physics 2020-10-28 Ulvi Kanbur , Hamza Polat , Erol Vatansever

The experimental realization of various spin ladder systems has prompted their detailed theoretical investigations. Here we study the evolution of ground state magnetization with an external magnetic field for two different…

Strongly Correlated Electrons · Physics 2009-10-31 Kunj Tandon , Siddhartha Lal , Swapan K. Pati , S. Ramasesha , Diptiman Sen

Thermalisation is a probabilistic process. As such, it is generally expected that when we increase the temperature of a system its classical behaviour dominates its quantum coherences. By employing the Gibbs state of a translationally…

Strongly Correlated Electrons · Physics 2019-01-29 Chris N. Self , Johannes Knolle , Sofyan Iblisdir , Jiannis K. Pachos

We present new results for the Kondo lattice model of strongly correlated electrons, in 1-, 2-, and 3-dimensions, obtained from high-order linked-cluster series expansions. Results are given for varies ground state properties at…

Strongly Correlated Electrons · Physics 2009-11-07 W. Zheng , J. Oitmaa

We study the capacity of antiferromagnetic lattices of varying geometries to entangle two additional spin-1/2 probes. Analytical modeling of the Quantum Monte Carlo data shows the appearance of a robust gap, allowing a description of…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 A. Ferreira , J. Viana Lopes , J. M. B. Lopes dos Santos

We investigate the phase transitions in two-leg ladders systems in the incommensurate phase, for which the gap is destroyed by a magnetic field ($h_{c1}< h$) and the ladder is not yet totally saturated ($h < h_{c2}$). We compute…

Strongly Correlated Electrons · Physics 2009-10-31 T. Giamarchi , A. M. Tsvelik