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A unified theory of quantum critical points beyond the conventional Landau-Ginzburg-Wilson paradigm remains unknown. According to Landau cubic criterion, phase transitions should be first-order when cubic terms of order parameters are…

Strongly Correlated Electrons · Physics 2017-08-23 Zi-Xiang Li , Yi-Fan Jiang , Shao-Kai Jian , Hong Yao

According to Landau criterion, a phase transition should be first order when cubic terms of order parameters are allowed in its effective Ginzburg-Landau free energy. Recently, it was shown by renormalization group (RG) analysis that…

Strongly Correlated Electrons · Physics 2020-02-12 Bo-Hai Li , Zi-Xiang Li , Hong Yao

Dynamical phase transition (DPT) characterizes the abrupt change of dynamical properties in nonequilibrium quantum many-body systems. It has been demonstrated that extra quantum fluctuating modes besides the conventional order parameter…

Statistical Mechanics · Physics 2021-03-11 Shuai Yin , Shao-Kai Jian

In this paper we investigate the nature of quantum phase transitions between two-dimensional Dirac semimetals and $Z_3$-ordered phases (e.g. Kekule valence-bond solid), where cubic terms of the order parameter are allowed in the quantum…

Strongly Correlated Electrons · Physics 2017-12-06 Shao-Kai Jian , Hong Yao

Fermion-induced quantum critical points (FIQCPs) were recently discovered at the putatively first-order transitions between two-dimensional (2D) Dirac semimetals and the Kekule valence bond solids on the honeycomb lattice by sign-free…

Strongly Correlated Electrons · Physics 2017-10-12 Shao-Kai Jian , Hong Yao

The fluctuations of massless Dirac fermion can not only turn a first-order bosonic phase transition (in the Landau sense) to a quantum critical point, but also work reversely to enhance the first-order transition itself, depending on the…

Strongly Correlated Electrons · Physics 2021-03-03 Yuzhi Liu , Zi Yang Meng , Shuai Yin

We establish a scenario where fluctuations of new degrees of freedom at a quantum phase transition change the nature of a transition beyond the standard Landau-Ginzburg paradigm. To this end we study the quantum phase transition of gapless…

Strongly Correlated Electrons · Physics 2017-10-10 Laura Classen , Igor F. Herbut , Michael M. Scherer

Deconfined quantum critical point (DQCP) characterizes the continuous transition beyond Landau-Ginzburg-Wilson paradigm, occurring between two phases that exhibit distinct symmetry breaking. The debate over whether genuine DQCP exists in…

Strongly Correlated Electrons · Physics 2025-11-06 Xuan Zou , Shuai Yin , Zi-Xiang Li , Hong Yao

The Mott critical point between a metal and a correlated insulator has usually been studied via density or spin density bosonic mode fluctuations according to the standard Ginzburg-Landau-Wilson phase transition paradigm. A moment's…

Strongly Correlated Electrons · Physics 2011-02-19 Zaira Nazario , David I. Santiago

The main features of fermion condensation quantum phase transition (FCQPT), which are distinctive in several aspects from that of conventional quantum phase transition (CQPT), are considered. We show that in contrast to CQPT, whose physics…

Strongly Correlated Electrons · Physics 2009-11-10 V. R. Shaginyan , J. G. Han , J. Lee

The quantum critical point (QCP) in $YbRh_{2}Si_{2}$ is an enigma for the itinerant view of QCP. In an alternative view, this QCP is intimately linked to the selective Mott localization of the heavy $f$ electrons. Following a perusal of…

Strongly Correlated Electrons · Physics 2008-11-25 M. S. Laad

The quark meson (linear sigma) model with linearized fluctuations displays at a critical end point the onset of a curve of first-order phase transitions (FOPTs) located at non-zero chemical potentials and temperatures below a certain…

High Energy Physics - Phenomenology · Physics 2017-02-01 Falk Wunderlich , Burkhard Kampfer

We construct a two-dimensional lattice model of fermions coupled to Ising ferromagnetic critical fluctuations. Using extensive sign-problem-free quantum Monte Carlo simulations, we show that the model realizes a continuous itinerant quantum…

Strongly Correlated Electrons · Physics 2017-09-29 Xiao Yan Xu , Kai Sun , Yoni Schattner , Erez Berg , Zi Yang Meng

Deconfined quantum critical points are intriguing transition points not predicted by the Landau-Ginzburg-Wilson symmetry-breaking paradigm which are usually identified by the appearance of a continuous phase transition between locally…

Strongly Correlated Electrons · Physics 2026-05-08 Niccolò Baldelli , Arianna Montorsi , Sergi Julià-Farré , Maciej Lewenstein , Matteo Rizzi , Luca Barbiero

Influence of quantum critical point (QCP) of first-order valence transition (FOVT) on Ce- and Yb-based heavy fermions is discussed as a key origin of anomalies such as non-Fermi liquid, metamagnetism, and unconventional superconductivity.…

Strongly Correlated Electrons · Physics 2015-03-17 Shinji Watanabe , Kazumasa Miyake

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

Condensed-matter community is involved in hot debate on the nature of quantum critical points (QCP) governing the low-temperature properties of heavy fermion metals. The smeared jump like behavior revealed both in the residual resistivity…

Strongly Correlated Electrons · Physics 2023-11-14 V. R. Shaginyan , A. Z. Msezane , M. V. Zverev , Y. S. Leevik

Deconfined quantum critical points (DQCPs) are proposed as unconventional second-order phase transitions beyond the Landau-Ginzburg-Wilson paradigm. The nature and experimental realizations of DQCPs are crucial issues of importance. We…

Strongly Correlated Electrons · Physics 2025-02-27 Ya-Nan Wang , Wen-Long You , Wen-Yi Zhang , Su-Peng Kou , Gaoyong Sun

Chiral pair fluctuation are considered near the phase boundary of the inhomogeneous chiral phase (iCP). The fluctuations are then bosonized and an effective action for the chiral pair fluctuation is basically constructed by considering the…

High Energy Physics - Phenomenology · Physics 2017-02-28 T. Tatsumi , R. Yoshiike , T. -G. Lee

Universality and scaling are hallmarks of second-order phase transitions but are generally unexpected in first-order quantum phase transitions (FOQPTs). We present a microscopic theory showing that quantum criticality can emerge around the…

Statistical Mechanics · Physics 2026-05-29 Fan Zhang , Chiao Wang , H. T. Quan
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