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Zero temperature phase transitions not only occur in the bulk of quantum systems, but also at boundaries or impurities. We review recent work on quantum phase transitions in impurity models that are generalizations of the standard Kondo…

Strongly Correlated Electrons · Physics 2007-05-23 R. Bulla , M. Vojta

We discuss the boundary critical behaviors of two dimensional quantum phase transitions with fractionalized degrees of freedom in the bulk, motivated by the fact that usually it is the $1d$ boundary that is exposed and can be conveniently…

Strongly Correlated Electrons · Physics 2020-05-13 Xiao-Chuan Wu , Yichen Xu , Hao Geng , Chao-Ming Jian , Cenke Xu

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2008-09-18 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

We study the temperature dependence of the conductivity due to quantum interference processes for a two-dimensional disordered itinerant electron system close to a ferromagnetic quantum critical point. Near the quantum critical point, the…

Strongly Correlated Electrons · Physics 2009-11-11 I. Paul , C. Pépin , B. N. Narozhny , D. L. Maslov

We investigate the effect of magnetic fields on a Kondo insulator by using the periodic Anderson model. The analysis by dynamical mean field theory combined with quantum Monte Carlo simulations reveals that the magnetic field drives the…

Strongly Correlated Electrons · Physics 2009-11-10 Takuma Ohashi , Akihisa Koga , Sei-ichiro Suga , Norio Kawakami

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

Disordered Systems and Neural Networks · Physics 2016-08-31 C. Pich , A. P. Young

High fidelity pressure measurements in the zero temperature limit provide a unique opportunity to study the behavior of strongly interacting, itinerant electrons with coupled spin and charge degrees of freedom. Approaching the exactitude…

Strongly Correlated Electrons · Physics 2009-11-10 M. Lee , A. Husmann , T. F. Rosenbaum , G. Aeppli

Using recent insights obtained in heavy fermion physics on the thermodynamic singularity structure associated with quantum phase transitions, we present here an experimental strategy to establish if the zero-temperature transition in the…

Strongly Correlated Electrons · Physics 2007-05-23 B. Hosseinkhani , J. Zaanen

We investigate the impact of quantum and thermal phase fluctuations on the suppression of superconducting order in two-dimensional systems. Within the two-dimensional quantum XY model in the phase representation, where on-site interaction…

We investigate theoretically the quantum phase transition (QPT) between the one-channel Kondo (1CK) and two-channel Kondo (2CK) fixed points in a quantum dot coupled to helical edge states of interacting 2D topological insulators (2DTI)…

Strongly Correlated Electrons · Physics 2015-06-03 Chung-Hou Chung , Salman Silotri

Albeit occurring at zero temperature, quantum critical phenomena are known to have a huge impact on the finite-temperature phase diagram of strongly correlated systems -- an aspect which gives experimental access to their observation. In…

Strongly Correlated Electrons · Physics 2019-02-21 Irénée Frérot , Tommaso Roscilde

We discuss the two-channel Kondo problem with a pseudogap density of states, $\rho(\w)\propto|\w|^r$, of the bath fermions. Combining both analytical and numerical renormalization group techniques, we characterize the impurity phases and…

Strongly Correlated Electrons · Physics 2015-05-30 Imke Schneider , Lars Fritz , Frithjof B. Anders , Adel Benlagra , Matthias Vojta

Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the…

Disordered Systems and Neural Networks · Physics 2012-04-16 Gabriel Lemarié , Hans Lignier , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

We obtain the phase diagram and thermodynamic behavior of the Kondo necklace model for arbitrary dimensions $d$ using a representation for the localized and conduction electrons in terms of local Kondo singlet and triplet operators. A…

Strongly Correlated Electrons · Physics 2009-11-13 Daniel Reyes , Mucio A. Continentino

Small changes in an external parameter can often lead to dramatic qualitative changes in the lowest energy quantum mechanical ground state of a correlated electron system. In anisotropic crystals, such as the high temperature…

Strongly Correlated Electrons · Physics 2009-10-31 Subir Sachdev

We present an analytic theory of quantum criticality in the quasi one-dimensional topological Anderson insulators of class AIII and BDI. We describe the systems in terms of two parameters $(g,\chi)$ representing localization and topological…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Alexander Altland , Dmitry Bagrets , Lars Fritz , Alex Kamenev , Hanno Schmiedt

Motivated by recent experiments, we study a quasi-one dimensional model of a Kondo lattice with Ferromagnetic coupling between the spins. Using bosonization and dynamical large-N techniques we establish the presence of a Fermi liquid and a…

Strongly Correlated Electrons · Physics 2018-04-17 Yashar Komijani , Piers Coleman

We propose an analytical ansatz, using which the ordering temperature of a quasi-one-dimensional (quasi-1D) antiferromagnetic (AF) system (weakly coupled quantum spin-1/2 chains) in the presence of the external magnetic field is calculated.…

Strongly Correlated Electrons · Physics 2015-05-19 A. A. Zvyagin

In the two-impurity Anderson model, the inter-impurity spin exchange interaction favors a spin singlet state between two impurities leading to the breakdown of the Kondo effect. We show that a local uniform magnetic field can delocalize the…

Strongly Correlated Electrons · Physics 2012-08-30 Lijun Zhu , Jian-Xin Zhu
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