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The two-dimensional dissipative quantum XY model is applicable to the quantum-critical properties of diverse experimental systems, ranging from the superconductor to insulator transitions, ferromagnetic and antiferromagnetic transitions in…

Strongly Correlated Electrons · Physics 2016-11-09 Changtao Hou , Chandra M. Varma

The anomalous transport and thermodynamic properties in the quantum-critical region, in the cuprates, and in the quasi-two dimensional Fe-based superconductors and heavy-fermion compounds, have the same temperature dependences. This can…

Strongly Correlated Electrons · Physics 2016-07-27 Chandra M. Varma

Quasi-two dimensional itinerant fermions in the Anti-Ferro-Magnetic (AFM) quantum-critical region of their phase diagram, such as in the Fe-based superconductors or in some of the heavy-fermion compounds, exhibit a resistivity varying…

Strongly Correlated Electrons · Physics 2015-11-10 C. M. Varma

A quantum critical point (QCP) is a singularity in the phase diagram arising due to quantum mechanical fluctuations. The exotic properties of some of the most enigmatic physical systems, including unconventional metals and superconductors,…

Strongly Correlated Electrons · Physics 2014-05-13 P. Merchant , B. Normand , K. W. Krämer , M. Boehm , D. F. McMorrow , Ch. Rüegg

We report measurements of the low temperature magnetization $M$ and specific heat $C$ as a function of temperature and magnetic field of the quasi-one-dimensional spin chain, heavy fermion compound YbFe$_5$P$_3$, which resides close to a…

Unconventional metallic states which do not support well defined single-particle excitations can arise near quantum phase transitions as strong quantum fluctuations of incipient order parameters prevent electrons from forming coherent…

Strongly Correlated Electrons · Physics 2017-04-24 Andres Schlief , Peter Lunts , Sung-Sik Lee

In strongly correlated systems, interactions give rise to critical fluctuations surrounding the quantum critical point (QCP) of a quantum phase transition. Quasicrystals allow the study of quantum critical phenomena in aperiodic systems…

Strongly Correlated Electrons · Physics 2025-04-16 A. Khansili , Y. -C. Huang , U. Häussermann , C. Pay Gomez , A. Rydh

We use quantum Monte-Carlo simulations to calculate the phase diagram and the correlation functions for the quantum phase transitions in the two-dimensional dissipative XY model with and without four-fold anisotropy. Without anisotropy, the…

Strongly Correlated Electrons · Physics 2015-06-05 Lijun Zhu , Yan Chen , Chandra M. Varma

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…

The universality of the strange metal phase in many quantum materials is often attributed to the presence of a quantum critical point (QCP), a zero-temperature phase transition ruled by quantum fluctuations. In cuprates, where…

Quantum criticality arises when a macroscopic phase of matter undergoes a continuous transformation at zero temperature. While the collective fluctuations at quantum-critical points are being increasingly recognized as playing an important…

The density correlations of some singular Fermi liquids with anomalous properties such as resistivity varying linearly with T at low temperatures, a $T \log T$ contribution to the entropy and thermopower, etc., are expected to be quite…

Strongly Correlated Electrons · Physics 2017-08-16 Chandra M. Varma

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. Heavy fermion metals have in recent years emerged as prototypical systems to study quantum critical points.…

Strongly Correlated Electrons · Physics 2009-05-24 Philipp Gegenwart , Qimiao Si , Frank Steglich

We report on susceptibility measurements in the strongly correlated layered cobalt oxide [BiBa0.66K0.36O2]CoO2, which demonstrate the existence of a magnetic quantum critical point (QCP) governing the electronic properties. The investigated…

Strongly Correlated Electrons · Physics 2010-07-12 P. Limelette , W. Saulquin , H. Muguerra , D. Grebille

We present here a rare example of electronuclear quantum criticality in a metal. The compound YbCu4.6Au0.4 is located at an unconventional quantum critical point (QCP). In this material the relevant Kondo and RKKY exchange interactions are…

Strongly Correlated Electrons · Physics 2023-08-30 J. Banda , D. Hafner , J. F. Landaeta , E. Hassinger , K. Mitsumoto , M. Giovannini , J. G. Sereni , C. Geibel , M. Brando

At quantum critical points (QCP) \cite{Pfeuty:1971,Young:1975,Hertz:1976,Chakravarty:1989,Millis:1993,Chubukov:1 994,Coleman:2005} there are quantum fluctuations on all length scales, from microscopic to macroscopic lengths, which,…

Strongly Correlated Electrons · Physics 2007-05-23 Angela Kopp , Sudip Chakravarty

The laws of quantum-critical scaling theory of quantum fidelity, dependent on the underlying system dimensionality $D$, have so far been verified in exactly solvable $1D$ models, belonging to or equivalent to interacting, quadratic…

Quantum Physics · Physics 2016-02-10 Mariusz Adamski , Janusz Jędrzejewski , Taras Krokhmalskii

We study a model in 2+1 dimensions composed of a Fermi surface of $N_f$ flavors of fermions coupled to scalar fluctuations near quantum critical points (QCPs). The $N_f\rightarrow0$ limit allows us to non-perturbatively calculate the…

Strongly Correlated Electrons · Physics 2021-03-17 Petter Säterskog

Anomalous metallic properties are often observed in the proximity of quantum critical points (QCPs), with violation of the Fermi Liquid paradigm. We propose a scenario where, due to the presence of a nearby QCP, dynamical fluctuations of…

Strongly Correlated Electrons · Physics 2020-12-23 S. Caprara , C. Di Castro , G. Mirarchi , G. Seibold , M. Grilli

We use the recently developed critical quasiparticle theory to derive the scaling behavior associated with a quantum critical point (QCP) in a correlated metal. This is applied to the magnetic-field induced QCP observed in YbRh$_2$Si$_2$…

Strongly Correlated Electrons · Physics 2012-01-04 Elihu Abrahams , Peter Woelfle
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