Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

WORLD SCIENTIFIC eBooks

Quantum criticality in condensed matter : phenomena, materials and ideas in theory and experiment, 50th Karpacz Winter School of Theoretical Physics, Karpacz, Poland, 2-9 March 2014

Janusz Jędrzejewski

Published Jan 1, 2016• 0 citations
OpenAlex

Abstract

The Enigma of the Pseudogap Phase of the Cuprate Superconductors (Debanjan Chowdhury and Subir Sachdev) Resonant Spin Excitations in Unconventional Heavy Fermion Superconductors and Kondo Lattice Comppounds (Peter Thalmeier and Alireza Akbari) Quantum Critical Heavy Fermion Metal Ybrh2si2 (Gertrud Zwicknagl) Universality and Convergence of Energy Scales at Quantum Critical Points in Local and Lattice Models (A C Hewson, D J G Crow and Y Nishikawa) Unparticles in Strongly Correlated Electron Matter (Philip W Phillips) Fidelity Approach to Quantum Phase Transitions in Quantum Ising Model (Bogdan Damski) Dynamics of Quantum Phase Transitions: Quantum Kibble-Zurek Mechanism (Jacek Dziarmaga) Theory of Temporal Fluctuations in Isolated Quantum Systems (L Campos Venuti)

Related papers

Quantum Criticality In Condensed Matter: Phenomena, Materials And Ideas In Theory And Experiment - 50th Karpacz Winter School Of Theoretical Physics

Janusz Jędrzejewski

•Jul 23, 2015•1 citation

Static critical phenomena in inhomogeneous systems : proceedings of the XX Karpacz Winter School of Theoretical Physics, February 20-March 3, 1984, Karpacz, Poland

Andrzej Pękalski, J. Szṅajd

Springer eBooks•Jan 1, 1984•0 citations

From the Preface to the first edition

Subir Sachdev A

The past decade has seen a substantial rejuvenation of interest in the study of quantum phase transitions, driven by experiments on cuprate superconductors, heavy fermion materials, organic conductors, and related compounds. Although quantum phase transitions in simple spin systems, like the Ising model in a transverse field, were studied in the early 1970s, much of the subsequent theoretical work examined a particular example: the metal–insulator transition. While this is a subject of considerable experimental importance, the greatest theoretical progress was made for the case of the Anderson transition of non-interacting electrons, which is driven by localization of the electronic states in the presence of a random potential. The critical properties of this transition of noninteracting electrons constituted the primary basis upon which most condensed matter physicists have formed their intuition on the behavior of the systems near a quantum phase transition. However, it is clear that strong electronic interactions play a crucial role in the systems of current interest noted earlier, and simple paradigms for the behavior of such systems near quantum critical points are not widely known. It is the purpose of this book to move interactions to center stage by describing and classifying the physical properties of the simplest interacting systems undergoing a quantum phase transition. The effects of disorder will be neglected for the most part but will be considered in the concluding chapters. Our focus will be on the dynamical properties of such systems at nonzero temperature, and it will become apparent that these differ substantially from the noninteracting case.

Cambridge University Press eBooks•Apr 7, 2011•0 citations

Quantum theory of condensed matter - proceedings of the 24th solvay conference on physics

Bertrand I. Halperin, Alexander Sevrin

Exotic Phases and Quantum Phase Transitions: Model Systems and Experiments (S Sachdev) Experimentally Realized Correlated Electron Materials: From Superconductors to Topological Insulators (C Kallin) The Quantum Hall Effect - An Overview (A Stern) One Dimensional Quantum Condensed Matter (I Affleck) Strongly Correlated Quantum Systems with Ultracold Atoms in Optical Lattices (I Bloch) Numerical Methods Using Matrix and Tensor Product Wave Functions (S R White)

•Jun 30, 2010•0 citations

Theory of universal Planckian metal in t-J model: application for high-Tc cuprate superconductors

Yung-Yeh Chang, Khoe Van Nguyen, Kimberly Remund +1 more

The mysterious quantum-critical Planckian bad metal phase with perfect T-linear resistivity persisting beyond the quasi-particle limit and universal T-linear scattering rate has been observed in various high-Tc cuprate superconductors. Here, we develop a realistic theoretical approach to this phase in an analytically solvable large-N multi-channel Kondo lattice model, derived from a heavy-fermion formulated conventionaL t-J model, known for qualitatively describing cuprates. This phase is originated from critical charge Kondo fluctuations where disordered local bosonic charge fluctuations couple to spinon and heavy conduction-electron Fermi surfaces near a charge-Kondo-breakdown local quantum critical point associated with pseudogap-to-Fermi liquid transition. Our results show excellent agreement with experiments and offer broad implications for other unconventional superconductors.

arXiv:2506.15552•Jun 18, 2025•0 citations

A mechanism for quantum-critical Planckian metal phase in high-temperature cuprate superconductors

Yung-Yeh Chang, Khoe Van Nguyen, Kimberly Remund +1 more

Abstract The mysterious metallic phase showing T-linear resistivity and a universal scattering rate 1 / τ = α P k B T / ℏ with a universal prefactor α P ∼ 1 and logarithmic-in-temperature singular specific heat coefficient, the so-called ‘Planckian metal phase’ was observed in various overdoped high- T c cuprate superconductors over a finite range in doping. Revealing the mystery of the Planckian metal state is believed to be the key to understanding the mechanism for high- T c superconductivity. Here, we propose a generic microscopic mechanism for this state based on quantum-critical local bosonic charge Kondo fluctuations coupled to both spinon and a heavy conduction-electron Fermi surface within the heavy-fermion formulation of the slave-boson t–J model. By a controlled perturbative renormalization group analysis, we examine the competition between the pseudogap phase, characterized by Anderson’s Resonating-Valence-Bond spin-liquid, and the Fermi-liquid state, modeled by the electron hopping (effective charge Kondo effect). We find a quantum-critical metallic phase with a universal Planckian ℏ ω / k B T scaling in scattering rate near an extended localized-delocalized (pseudogap-to-Fermi liquid) charge-Kondo breakdown transition. The d-wave superconducting ground state emerges near the transition. Unprecedented qualitative and quantitative agreements are reached between our theoretical predictions and various experiments, including optical conductivity, universal doping-independent field-to-temperature scaling in magnetoresistance, specific heat coefficient, marginal Fermi-liquid spectral function observed in ARPES, and Fermi surface reconstruction observed in Hall coefficients in various overdoped cuprates. Our mechanism offers a microscopic understanding of the quantum-critical Planckian metal phase observed in cuprates and its link to the pseudogap, d-wave superconducting, and Fermi liquid phases. It offers a promising route for understanding how d-wave superconductivity emerges from such a strange metal phase in cuprates–one of the long-standing open problems in condensed matter physics since 1990s–as well as shows a broader implication for the Planckian strange metal states observed in other correlated unconventional superconductors.

Reports on Progress in Physics•Mar 20, 2025•5 citations
The Enigma of the Pseudogap Phase of the Cuprate Superconductors (Debanjan Chowdhury and Subir Sachdev) Resonant Spin Excitations in Unconventional Heavy Fermion Superconductors and Kondo Lattice Comppounds (Peter Thalmeier and Alireza Akbari) Quantum Critical Heavy Fermion Metal Ybrh2si2 (Gertrud Zwicknagl) Universality and Convergence of Energy Scales at Quantum Critical Points in Local and Lattice Models (A C Hewson, D J G Crow and Y Nishikawa) Unparticles in Strongly Correlated Electron Matter (Philip W Phillips) Fidelity Approach to Quantum Phase Transitions in Quantum Ising Model (Bogdan Damski) Dynamics of Quantum Phase Transitions: Quantum Kibble-Zurek Mechanism (Jacek Dziarmaga) Theory of Temporal Fluctuations in Isolated Quantum Systems (L Campos Venuti)
The past decade has seen a substantial rejuvenation of interest in the study of quantum phase transitions, driven by experiments on cuprate superconductors, heavy fermion materials, organic conductors, and related compounds. Although quantum phase transitions in simple spin systems, like the Ising model in a transverse field, were studied in the early 1970s, much of the subsequent theoretical work examined a particular example: the metal–insulator transition. While this is a subject of considerable experimental importance, the greatest theoretical progress was made for the case of the Anderson transition of non-interacting electrons, which is driven by localization of the electronic states in the presence of a random potential. The critical properties of this transition of noninteracting electrons constituted the primary basis upon which most condensed matter physicists have formed their intuition on the behavior of the systems near a quantum phase transition. However, it is clear that strong electronic interactions play a crucial role in the systems of current interest noted earlier, and simple paradigms for the behavior of such systems near quantum critical points are not widely known. It is the purpose of this book to move interactions to center stage by describing and classifying the physical properties of the simplest interacting systems undergoing a quantum phase transition. The effects of disorder will be neglected for the most part but will be considered in the concluding chapters. Our focus will be on the dynamical properties of such systems at nonzero temperature, and it will become apparent that these differ substantially from the noninteracting case.
The mysterious quantum-critical Planckian bad metal phase with perfect T-linear resistivity persisting beyond the quasi-particle limit and universal T-linear scattering rate has been observed in various high-Tc cuprate superconductors. Here, we develop a realistic theoretical approach to this phase in an analytically solvable large-N multi-channel Kondo lattice model, derived from a heavy-fermion formulated conventionaL t-J model, known for qualitatively describing cuprates. This phase is originated from critical charge Kondo fluctuations where disordered local bosonic charge fluctuations couple to spinon and heavy conduction-electron Fermi surfaces near a charge-Kondo-breakdown local quantum critical point associated with pseudogap-to-Fermi liquid transition. Our results show excellent agreement with experiments and offer broad implications for other unconventional superconductors.
Abstract The mysterious metallic phase showing T-linear resistivity and a universal scattering rate 1 / τ = α P k B T / ℏ with a universal prefactor α P ∼ 1 and logarithmic-in-temperature singular specific heat coefficient, the so-called ‘Planckian metal phase’ was observed in various overdoped high- T c cuprate superconductors over a finite range in doping. Revealing the mystery of the Planckian metal state is believed to be the key to understanding the mechanism for high- T c superconductivity. Here, we propose a generic microscopic mechanism for this state based on quantum-critical local bosonic charge Kondo fluctuations coupled to both spinon and a heavy conduction-electron Fermi surface within the heavy-fermion formulation of the slave-boson t–J model. By a controlled perturbative renormalization group analysis, we examine the competition between the pseudogap phase, characterized by Anderson’s Resonating-Valence-Bond spin-liquid, and the Fermi-liquid state, modeled by the electron hopping (effective charge Kondo effect). We find a quantum-critical metallic phase with a universal Planckian ℏ ω / k B T scaling in scattering rate near an extended localized-delocalized (pseudogap-to-Fermi liquid) charge-Kondo breakdown transition. The d-wave superconducting ground state emerges near the transition. Unprecedented qualitative and quantitative agreements are reached between our theoretical predictions and various experiments, including optical conductivity, universal doping-independent field-to-temperature scaling in magnetoresistance, specific heat coefficient, marginal Fermi-liquid spectral function observed in ARPES, and Fermi surface reconstruction observed in Hall coefficients in various overdoped cuprates. Our mechanism offers a microscopic understanding of the quantum-critical Planckian metal phase observed in cuprates and its link to the pseudogap, d-wave superconducting, and Fermi liquid phases. It offers a promising route for understanding how d-wave superconductivity emerges from such a strange metal phase in cuprates–one of the long-standing open problems in condensed matter physics since 1990s–as well as shows a broader implication for the Planckian strange metal states observed in other correlated unconventional superconductors.