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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

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

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

The ground state of an array of coupled, spin-half, antiferromagnetic ladders is studied using spin-wave theory, exact diagonalization (up to 36 sites) and quantum Monte Carlo techniques (up to 256 sites). Our results clearly indicate the…

Strongly Correlated Electrons · Physics 2009-11-07 Luca Capriotti , Federico Becca

Experimental data on quantum phase transitions in two-dimensional systems (superconductor-insulator, metal-insulator, and transitions under conditions of integer quantum Hall effect) are critically analyzed.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. L. Shangina , V. T. Dolgopolov

We study the isotropic Heisenberg chain with nearest and next-nearest neighbour interactions. The ground state phase diagram is constructed in dependence on the additonal interactions and an external magnetic field. The thermodynamics is…

Strongly Correlated Electrons · Physics 2009-11-13 Christian Trippe , Andreas Klümper

The purpose of this work is to understand the zero temperature phases, and the phase transitions, of Heisenberg spin systems which can have an extensive, spontaneous magnetic moment; this entails a study of quantum transitions with an order…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , T. Senthil

We investigate the thermodynamic properties of a field-induced supersolid phase in a 2D quantum antiferromagnet model. Using quantum Monte Carlo simulations, a very rich phase diagram is mapped out in the temperature - magnetic field plane,…

Strongly Correlated Electrons · Physics 2007-07-09 Nicolas Laflorencie , Frederic Mila

The quantum Hall system can be used to study many-body physics owing to its multiple internal electronic degrees of freedom and tunability. While quantum phase transitions have been studied intensively, research on the temperature-induced…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Miuko Tanaka , Kenji Watanabe , Takashi Taniguchi , Kentaro Nomura , Seigo Tarucha , Michihisa Yamamoto

We investigate quantum phase transitions in two-dimensional superconducting arrays with general capacitance matrices and discrete charge states. We use the perturbation theory together with the simulated annealing method to obtain the…

Superconductivity · Physics 2008-02-03 Beom Jun Kim , Jeenu Kim , Sung Yong Park , M. Y. Choi

In recent years, quantum phase transitions have attracted the interest of both theorists and experimentalists in condensed matter physics. These transitions, which are accessed at zero temperature by variation of a non-thermal control…

Condensed Matter · Physics 2009-11-10 Matthias Vojta

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos , P. Prelovsek

We study the low-temperature transport properties of the systems of parallel quantum dots described by the N-impurity Anderson model. We calculate the quasiparticle scattering phase shifts, spectral functions and correlations as a function…

Mesoscale and Nanoscale Physics · Physics 2009-03-05 Rok Zitko , Janez Bonca

Quantum-phase transitions in two layers of ultrasmall Josephson junctions, coupled capacitively with each other, are investigated. As the interlayer capacitance is increased, the system at zero temperature is found to exhibit an…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Mahn-Soo Choi

A quantum phase transition that was recently observed in a high-mobility silicon MOSFET is analyzed in terms of a scaling theory. The most striking characteristic of the transition is a divergence of the thermopower, according to an inverse…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

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

Quantum phase transitions between the magnetically ordered and disordered states are studied for the two-dimensional antiferromagnetic quantum spin systems with ladder, plaquette, and mixed-spin structures. Starting with properly chosen…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

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 review recent developments in nonlinear quantum transport through nanostructures and mesoscopic systems driven by thermal gradients or in combination with voltage biases. Low-dimensional conductors are excellent platforms to analyze both…

Mesoscale and Nanoscale Physics · Physics 2016-11-14 David Sanchez , Rosa Lopez

The emergence of complex and fascinating states of quantum matter in the neighborhood of zero temperature phase transitions suggests that such quantum phenomena should be studied in a variety of settings. Advanced technologies of the future…

Strongly Correlated Electrons · Physics 2017-11-15 P. Chandra , G. G. Lonzarich , S. E. Rowley , J. F. Scott
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