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A recent work (arXiv:1811.04930) proposed a SU(2) gauge theory for optimal doping criticality in the cuprate superconductors. The theory contains $N_h$ Higgs fields transforming under the adjoint representation of SU(2), with $N_h=1$ for…

Strongly Correlated Electrons · Physics 2020-05-27 Harley D. Scammell , Kartik Patekar , Mathias S. Scheurer , Subir Sachdev

The deconfined quantum critical point of a two-dimensional SU(N) antiferromagnet is governed by an Abelian Higgs model in $d=2+1$ spacetime dimensions featuring $N$ complex scalar fields. In this context, we derive for $2\leq d\leq 4$ an…

Strongly Correlated Electrons · Physics 2009-10-29 Flavio S. Nogueira

We study the putative multicritical point in 2+1D $\mathbb{Z}_k$ gauge theory where the Higgs and confinement transitions meet. The presence of an $e$-$m$ duality symmetry at this critical point forces anyons with nontrivial braiding to…

Strongly Correlated Electrons · Physics 2024-07-12 Zhengyan Darius Shi , Arkya Chatterjee

We consider relativistic U(1) gauge theories in 2+1 dimensions, with N_b species of complex bosons and N_f species of Dirac fermions at finite temperature. The quantum phase transition between the Higgs and Coulomb phases is described by a…

Strongly Correlated Electrons · Physics 2008-04-07 Ribhu K. Kaul , Subir Sachdev

We study two different SU(2) gauge-scalar theories in 3 and 4 spacetime dimensions. Firstly, we focus on the 3 dimensional SU(2) theory with multiple Higgs fields in the adjoint representation, that can be mapped to cuprate systems in…

We describe the phase diagram of a 2+1 dimensional SU(2) gauge theory of fluctuating incommensurate spin density waves for the hole-doped cuprates. Our primary assumption is that all low energy fermionic excitations are gauge neutral and…

Strongly Correlated Electrons · Physics 2019-03-06 Subir Sachdev , Harley D. Scammell , Mathias S. Scheurer , Grigory Tarnopolsky

We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which transform under the adjoint representation of the gauge group, that has been recently proposed by Sachdev et al. to explain the physics of cuprate superconductors near…

We consider several types of quantum critical phenomena from finite-density gauge-gravity duality which to different degrees lie outside the Landau-Ginsburg-Wilson paradigm. These include: (1) a "bifurcating" critical point, for which the…

High Energy Physics - Theory · Physics 2014-10-24 Nabil Iqbal , Hong Liu , Márk Mezei

We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that…

Strongly Correlated Electrons · Physics 2024-07-03 Maine Christos , Henry Shackleton , Subir Sachdev , Zhu-Xi Luo

We analyze a candidate theory for the strange metal near optimal hole-doping in the cuprate superconductors. The theory contains a quantum phase transition between metals with large and small Fermi surfaces of spinless fermions carrying the…

Strongly Correlated Electrons · Physics 2015-03-18 Debanjan Chowdhury , Subir Sachdev

The electromagnetic response of topological insulators and superconductors is governed by a modified set of Maxwell equations that derive from a topological Chern-Simons (CS) term in the effective Lagrangian with coupling constant $\kappa$.…

Strongly Correlated Electrons · Physics 2019-10-17 Flavio S. Nogueira , Jeroen van den Brink , Asle Sudbo

We numerically investigate the multicritical behavior of the three dimensional lattice system in which a SU(2) gauge field is coupled to two flavors of scalar fields transforming in the fundamental representation of the gauge group. In this…

High Energy Physics - Lattice · Physics 2025-08-11 Claudio Bonati , Ivan Soler Calero

The simplest topologically ordered phase in 2+1D is the deconfined phase of $Z_2$ gauge theory, realized for example in the toric code. This phase permits a duality that exchanges electric and magnetic excitations (``$e$'' and ``$m$''…

Statistical Mechanics · Physics 2021-01-01 Andrés M. Somoza , Pablo Serna , Adam Nahum

We investigate the relationship between the high temperature deconfined phase of the SU(2) gauge theory to the phases of the corresponding three dimensional adjoint Higgs model. For various temperatures we simulate the effective theory in a…

High Energy Physics - Lattice · Physics 2009-09-25 L. Karkkainen , P. Lacock , D. E. Miller , B. Petersson , T. Reisz

The infra-red behaviour of gauge theories coupled to matter remains an open problem in quantum field theory. For a given gauge group, such theories are expected to flow to an interacting conformal fixed point over a range of fermion or…

High Energy Physics - Theory · Physics 2026-02-13 Emilie Huffman , Zheng Zhou , Yin-Chen He , Johannes S. Hofmann

We use AdS/CFT duality to study the thermodynamics of a strongly coupled N=2 supersymmetric large Nc SU(Nc) gauge theory with Nf =2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential mu, a potential on the…

High Energy Physics - Theory · Physics 2009-11-11 Riccardo Apreda , Johanna Erdmenger , Nick Evans , Zachary Guralnik

The phase transition "Coulomb-confinement" in the U(1) regularized gauge theory is considered in the framework of dual Abelian Higgs model of scalar monopoles (shortly: Higgs monopole model). The effective potential analogous to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. V. Laperashvili , D. A. Ryzhikh

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

The dissipative dynamics of strongly interacting systems are often characterised by the timescale set by the inverse temperature $\tau_P\sim\hbar/(k_BT)$. We show that near a class of strongly interacting quantum critical points that arise…

High Energy Physics - Theory · Physics 2021-06-30 Richard A. Davison , Simon A. Gentle , Blaise Goutéraux

Continuous quantum phase transitions that are beyond the conventional paradigm of fluctuations of a symmetry breaking order parameter are challenging for theory. These phase transitions often involve emergent deconfined gauge fields at the…

Strongly Correlated Electrons · Physics 2019-05-29 Zhen Bi , T. Senthil
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