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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

To reflect the asymptotic freedom in the thermal direction, a temperature-dependent coupling was proposed in the literature. We investigate its effect on QCD matter with and without strong magnetic fields. Compared with the fixed coupling…

High Energy Physics - Phenomenology · Physics 2017-10-11 Li Yang , Xin-jian Wen

Technological and scientific advances have given rise to an era in which coherent quantum-mechanical phenomena can be probed and experimentally-realised over unprecedented timescales in condensed matter physics. In turn, scientific interest…

Quantum Physics · Physics 2021-12-23 Marlon Brenes

Quantum annealers are emerging as programmable, dynamical experimental platforms for probing strongly correlated spin systems. Yet key thermal assumptions, chiefly a Gibbs-distributed output ensemble, remain unverified in the large-scale…

Quantum Physics · Physics 2025-12-04 George Grattan , Pratik Sathe , Cristiano Nisoli

We develop a theory of finite-time scaling for dynamic quantum criticality by considering the competition among an external time scale, an intrinsic reaction time scale and an imaginary time scale arising respectively from an external…

Statistical Mechanics · Physics 2013-03-11 Shuai Yin , Xizhou Qin , Chaohong Lee , Fan Zhong

We study the nonequilibrium dynamics of the Quantum Ising Model following an abrupt quench of the transverse field. We focus on the on-site autocorrelation function of the order parameter, and extract the phase coherence time…

Statistical Mechanics · Physics 2009-03-27 Davide Rossini , Alessandro Silva , Giuseppe Mussardo , Giuseppe Santoro

A quantum critical point arises at a continuous transformation between distinct phases of matter at zero temperature. Studies in antiferromagnetic heavy fermion materials have revealed that quantum criticality has several classes, with an…

Strongly Correlated Electrons · Physics 2014-08-15 Yongkang Luo , Leonid Pourovskii , S. E. Rowley , Yuke Li , Chunmu Feng , Antoine Georges , Jianhui Dai , Guanghan Cao , Zhu'an Xu , Qimiao Si , N. P. Ong

We solve for the SU(N) Heisenberg spin-glass in the limit of large N focusing on small S and T. We study the effect of quantum and thermal fluctuations in the frequency dependent response function and observed interesting transfers of…

Strongly Correlated Electrons · Physics 2009-11-07 A. Camjayi , M. J. Rozenberg

We report measurements of in-plane electrical and thermal transport properties in the limit $T \rightarrow 0$ near the unconventional quantum critical point in the heavy-fermion metal $\beta$-YbAlB$_4$. The high Kondo temperature $T_K$…

Strongly Correlated Electrons · Physics 2015-07-29 M. L. Sutherland , E. C. T. O'Farrell , W. H. Toews , J. Dunn , K. Kuga , S. Nakatsuji , Y. Machida , K. Izawa , R. W. Hill

I review a variety of model systems and their quantum critical points, motivated by recent experimental and theoretical developments. These are used to present a general discussion of the non-zero temperature crossovers in the vicinity of a…

Strongly Correlated Electrons · Physics 2015-05-14 Subir Sachdev

In recent years, there is considerable experimental effort using cold atoms to study strongly correlated many-body systems. One class of phenomena of particularly interests is quantum critical (QC) phenomena. While prevalent in many…

Quantum Gases · Physics 2015-05-19 Qi Zhou , Tin-Lun Ho

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

A systematic analysis of low temperature magnetic phase diagrams of Ce compounds is performed in order to recognize the thermodynamic conditions to be fulfilled by those systems to reach a quantum critical regime and, alternatively, to…

Strongly Correlated Electrons · Physics 2015-06-04 Julian G. Sereni

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

When a second-order magnetic phase transition is tuned to zero temperature by a non-thermal parameter, quantum fluctuations are critically enhanced, often leading to the emergence of unconventional superconductivity. In these `quantum…

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

Considerable evidence exists for the failure of the traditional theory of quantum critical points (QCPs), pointing to the need to incorporate novel excitations. The destruction of Kondo entanglement and the concomitant critical Kondo effect…

Strongly Correlated Electrons · Physics 2007-05-23 Stefan Kirchner , Lijun Zhu , Qimiao Si , D. Natelson

We investigate theoretically the Seebeck effect in materials close to a ferromagnetic quantum critical point to explain anomalous behaviour at low temperatures. It is found that the main effect of spin fluctuations is to enhance the…

Strongly Correlated Electrons · Physics 2015-05-13 Takuya Okabe

Iridates provide a fertile ground to investigate correlated electrons in the presence of strong spin-orbit coupling. Bringing these systems to the proximity of a metal-insulator quantum phase transition is a challenge that must be met to…

Strongly Correlated Electrons · Physics 2021-05-11 Kousik Samanta , Jean C. Souza , Danilo Rigitano , Adimir I. Morales , Pascoal G. Pagliuso , Eduardo Granado

An isolated spin system that is in internal thermodynamic equilibrium and that has an upper limit to its allowed energy states can possess a negative temperature. We calculate the thermodynamic characteristics and the concurrence in this…

Quantum Physics · Physics 2015-06-15 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky