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The Gross-Neveu-Heisenberg universality class describes a continuous quantum phase transition between a Dirac semimetal and an antiferromagnetic insulator. Such quantum critical points have originally been discussed in the context of…

Strongly Correlated Electrons · Physics 2023-06-02 Konstantinos Ladovrechis , Shouryya Ray , Tobias Meng , Lukas Janssen

We study quantum phase transitions in graphene superlattices in external magnetic fields, where a framework is presented to classify multiflavor Dirac fermion critical points describing hopping tuned topological phase transitions of integer…

Strongly Correlated Electrons · Physics 2020-12-11 Jian Wang , Luiz H. Santos

Two-dimensional materials with interacting Dirac excitations can host quantum multicritical behavior near the phase boundaries of the semimetallic and two-ordered phases. We study such behavior in Gross--Neveu--Yukawa field theories where…

Strongly Correlated Electrons · Physics 2025-08-18 Max Uetrecht , Igor F. Herbut , Michael M. Scherer , Emmanuel Stamou , Tom Steudtner

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

The critical temperature and the nature of the QCD finite temperature phase transition are determined for Nf=2 dynamical flavors of nonperturbatively improved Wilson fermions. The calculations are performed on large lattices with temporal…

High Energy Physics - Lattice · Physics 2014-11-20 V. G. Bornyakov , R. Horsley , S. M. Morozov , Y. Nakamura , M. I. Polikarpov , P. E. L. Rakow , G. Schierholz , T. Suzuki

QCD at zero baryon density in the limit of infinite quark mass undergoes a first order deconfinement phase transition at a critical temperature $T_c$ corresponding to the breaking of the global centre symmetry. In the presence of dynamical…

High Energy Physics - Lattice · Physics 2016-09-20 Christopher Czaban , Owe Philipsen

We study chiral phase transition and confinement of matter fields in (2+1)-dimensional U(1) gauge theory of massless Dirac fermions and scalar bosons. The vanishing scalar boson mass, $r=0$, defines a quantum critical point between the…

Strongly Correlated Electrons · Physics 2010-09-07 Guo-Zhu Liu , Wei Li , Geng Cheng

Chiral phase transition of two flavor QCD at finite quark masses is known to be crossover except near the chiral limit, but it can turn to a first order transition when adding many extra flavors. This property is used to explore the nature…

High Energy Physics - Lattice · Physics 2016-03-23 Shinji Ejiri , Ryo Iwami , Norikazu Yamada

Emergent symmetry in Dirac system means that the system acquires an enlargement of two basic symmetries at some special critical point. The continuous quantum criticality between the two symmetry broken phases can be described within the…

Strongly Correlated Electrons · Physics 2022-06-29 Jiang Zhou

In a progress toward searching for the QCD critical point, we study the finite density phase transition of $N_f = 4$ and 2 lattice QCD at finite temperature with the canonical ensemble approach. We develop a winding number expansion method…

High Energy Physics - Lattice · Physics 2010-10-04 Anyi Li , Andrei Alexandru , Keh-Fei Liu , Xiangfei Meng

QCD with gauge group $SU(N_c)$ flows to an interacting conformal fixed point in three spacetime dimensions when the number of four-component Dirac fermions $N_f \gg N_c$. We study the stability of this fixed point via the…

High Energy Physics - Theory · Physics 2016-09-28 Hart Goldman , Michael Mulligan

We study the region of the QCD phase transition using 2+1 flavors of domain wall fermions (DWF) and a $16^3 \times 8$ lattice volume with a fifth dimension of $L_s = 32$. The disconnected light quark chiral susceptibility, quark number…

High Energy Physics - Lattice · Physics 2010-04-14 M. Cheng , N. H. Christ , P. Hegde , F. Karsch , Min Li , M. F. Lin , R. D. Mawhinney , D. Renfrew , P. Vranas

We employ the linear sigma model to study the chiral dynamics of two flavors of quarks at finite temperature and density. Our calculations include thermal fluctuations of both the bosonic and fermionic fields. In particular, we determine…

Nuclear Theory · Physics 2009-11-18 J. I. Kapusta , E. S. Bowman

We investigate a nonlocal chiral quark model with separable 4-fermion interaction for the case of U(3) flavor symmetry and show that strange quark matter is unlikely to occur in a large enough volume of a compact star to entail remarkable…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Blaschke , H. Grigorian , A. Khalatyan , D. N. Voskresensky

Motivated by the physics of graphene, we consider a model of N species of 2+1 dimensional four-component massless Dirac fermions interacting through a 3D instantaneous Coulomb interaction. We show that in the limit of infinitely strong…

Strongly Correlated Electrons · Physics 2007-07-11 D. T. Son

We investigate the chiral phase transition in SU(N) gauge theories as the number of quark flavors, $N_f$, is varied. We argue that the transition takes place at a large enough value of $N_f$ so that it is governed by the infrared fixed…

High Energy Physics - Phenomenology · Physics 2014-11-17 Thomas Appelquist , Anuradha Ratnaweera , John Terning , L. C. R. Wijewardhana

The global center symmetry of quenched QCD at zero baryonic chemical potential is broken spontaneously at a critical temperature $T_c$ leading to a first-order phase transition. Including heavy dynamical quarks breaks the center symmetry…

High Energy Physics - Lattice · Physics 2023-08-08 Reinhold Kaiser , Owe Philipsen

The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be…

Strongly Correlated Electrons · Physics 2020-06-05 Lukas Janssen , Wei Wang , Michael M. Scherer , Zi Yang Meng , Xiao Yan Xu

We investigate the stability of the N\'eel quantum critical point of two-dimensional quantum antiferromagnets, described by a non-linear $\sigma$ model (NL$\sigma$M), in the presence of a Kondo coupling to $N_f$ flavours of two-component…

Strongly Correlated Electrons · Physics 2023-02-09 Huanzhi Hu , Jennifer Lin , Mikolaj D. Uryszek , Frank Krüger

The Thirring model is a four fermion theory with vector interaction. We study it in three dimensions, where it is closely related to QED and other models used to describe properties of graphene. In addition it is a good toy model to study…

High Energy Physics - Lattice · Physics 2015-11-03 Daniel Schmidt , Björn Wellegehausen , Andreas Wipf