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We study the finite temperature crossovers in the vicinity of a zero temperature quantum phase transition. The universal crossover functions are observables of a continuum quantum field theory. Particular attention is focussed on the high…

Condensed Matter · Physics 2008-02-03 Subir Sachdev

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

Phase transitions which occur at zero temperature when some non-thermal parameter like pressure, chemical composition or magnetic field is changed are called quantum phase transitions. They are caused by quantum fluctuations which are a…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

We present a general introduction to the non-zero temperature dynamic and transport properties of low-dimensional systems near a quantum phase transition. Basic results are reviewed in the context of experiments on the spin-ladder…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

The quantum phase transition from a spin-Peierls phase with a small Fermi surface to a paramagnetic Luttinger-liquid phase with a large Fermi surface is studied in the framework of a one-dimensional Kondo-Heisenberg model that consists of…

Strongly Correlated Electrons · Physics 2015-05-27 Eitan Eidelstein , S. Moukouri , Avraham Schiller

Zero-temperature or quantum phase transitions in itinerant electronic systems both with and without quenched disordered are discussed. Phase transitions considered include, the ferromagnetic transition, the antiferromagnetic transition, the…

Statistical Mechanics · Physics 2008-02-03 T. R. Kirkpatrick , D. Belitz

Quantum phase transitions occur at zero temperature when some non-thermal control-parameter like pressure or chemical composition is changed. They are driven by quantum rather than thermal fluctuations. In this review we first give a…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta

We study finite temperature properties of a generic spin-orbital model relevant to transition metal compounds, having coupled quantum Heisenberg-spin and Ising-orbital degrees of freedom. The model system undergoes a phase transition,…

Strongly Correlated Electrons · Physics 2009-11-20 C. -C. Chen , B. Moritz , J. van den Brink , T. P. Devereaux , R. R. P. Singh

In a magnetic field, spin-ladders undergo two zero-temperature phase transitions at the critical fields Hc1 and Hc2. An experimental review of static and dynamical properties of spin-ladders close to these critical points is presented. The…

Strongly Correlated Electrons · Physics 2009-10-31 G. Chaboussant , M. -H. Julien , Y. Fagot-Revurat , M. E. Hanson , L. P. Levy , C. Berthier , M. Horvatic , O. Piovesana

We study the response of a thermal state of an Ising chain to a nonlocal non-Hermitian perturbation, which coalesces the topological Kramer-like degeneracy in the ferromagnetic phase. The dynamic responses for initial thermal states in…

Strongly Correlated Electrons · Physics 2021-03-24 K. L. Zhang , Z. Song

The phase diagram of the Heisenberg ferromagnetic model in the presence of a magnetic random field (we have used bimodal distribution) of spin S=1/2 (quantum case) and $S=\infty $ (classical case) on a simple cubic lattice is studied within…

Statistical Mechanics · Physics 2011-10-24 Ricardo de Sousa , Douglas F. de Albuquerque , Alberto S. Arruda

The Kondo-lattice model, which couples a lattice of localized magnetic moments to conduction electrons, is often used to describe heavy-fermion systems. Because of the interplay between Kondo physics and magnetic order it displays very…

Strongly Correlated Electrons · Physics 2017-08-24 T. R. Kirkpatrick , D. Belitz

We give a general introduction to quantum phase transitions in strongly-correlated electron systems. These transitions which occur at zero temperature when a non-thermal parameter $g$ like pressure, chemical composition or magnetic field is…

Strongly Correlated Electrons · Physics 2009-11-07 M. Lavagna

We study quantum ferrimagnets in one, two, and three dimensions by using a variety of methods and approximations. These include: (i) a treatment based on the spin coherent state path-integral formulation of quantum ferrimagnets by taking…

Condensed Matter · Physics 2007-05-23 M. Abolfath , H. Hamidian , A. Langari

Motivated by the recent experiment on kagome-lattice antiferromagnets, we study the zero-field ordering behavior of the antiferromagnetic classical Heisenberg model on a uniaxially distorted kagome lattice by Monte Carlo simulations. A…

Statistical Mechanics · Physics 2012-08-27 Hiroshi Masuda , Tsuyoshi Okubo , Hikaru Kawamura

The quantum ferromagnetic transition of itinerant electrons is considered. We give a pedagogical review of recent results which show that zero-temperature soft modes that are commonly neglected, invalidate the standard…

Statistical Mechanics · Physics 2009-10-28 D. Belitz , T. R. Kirkpatrick

We investigate the thermodynamic properties of the frustrated bilayer quantum Heisenberg antiferromagnet at low temperatures in the vicinity of the saturation magnetic field. The low-energy degrees of freedom of the spin model are mapped…

Strongly Correlated Electrons · Physics 2007-05-23 Johannes Richter , Oleg Derzhko , Taras Krokhmalskii

The quasi-one-dimensional S=1 Heisenberg antiferromagnet with a biquadratic term is investigated at zero temperature by quantum Monte Carlo simulation. As the magnitude of the inter-chain coupling is increased, the system undergoes a phase…

Statistical Mechanics · Physics 2015-06-25 Kenji Harada , Naoki Kawashima , Matthias Troyer

We present a new theoretical approach for the study of the phase diagram of interacting quantum particles: bosons, fermions or spins. In the neighborhood of a phase transition, the expected renormalization group structure is recovered both…

Strongly Correlated Electrons · Physics 2009-10-31 Pietro Gianinetti , Alberto Parola
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