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We investigate the amplitude (Higgs) mode associated with longitudinal fluctuations of the order parameter at the continuous spontaneous symmetry breaking phase transition. In quantum magnets, due to the fast decay of the amplitude mode…

Strongly Correlated Electrons · Physics 2021-06-09 Chengkang Zhou , Zheng Yan , Han-Qing Wu , Kai Sun , Oleg A. Starykh , Zi Yang Meng

We investigate the emergence of an amplitude (Higgs-like) mode in the gapless phase of the $(1+1)$D XXZ spin chain. Unlike conventional settings where amplitude modes arise from spontaneous symmetry breaking, here, we identify a…

Strongly Correlated Electrons · Physics 2026-01-30 Hyunsoo Ha , David A. Huse , Rhine Samajdar

Spontaneous symmetry-breaking quantum phase transitions play an essential role in condensed matter physics. The collective excitations in the broken-symmetry phase near the quantum critical point can be characterized by fluctuations of…

The amplitude mode is a ubiquitous collective excitation in condensed matter systems with broken continuous symmetry. It is expected in antiferromagnets, short coherence length superconductors, charge density waves, and lattice Bose…

Superconductivity · Physics 2013-05-29 Daniel Podolsky , Assa Auerbach , Daniel P. Arovas

By means of large-scale quantum Monte Carlo simulations, we examine the quantum critical scaling of the magnetic excitation gap (the triplon gap) in a three-dimensional dimerized quantum antiferromagnet, the bicubic lattice, and identify…

Strongly Correlated Electrons · Physics 2017-04-12 Maximilian Lohöfer , Stefan Wessel

The Higgs amplitude mode in superconductors is the condensed matter analogy of Higgs bosons in particle physics. We investigate the time evolution of Higgs amplitude mode in massless Dirac systems, induced by a weak quench of an attractive…

Superconductivity · Physics 2020-07-31 Ming Lu , Haiwen Liu , Pei Wang , X. C. Xie

When a continuous symmetry of a physical system is spontaneously broken, two types of collective modes typically emerge: the amplitude and phase modes of the order-parameter fluctuation. For superconductors, the amplitude mode is recently…

Superconductivity · Physics 2020-03-19 Ryo Shimano , Naoto Tsuji

We show that the amplitude, or Higgs mode of a superconductor with strong spin-orbit coupling and an exchange field, couples linearly to the electromagnetic field. Furthermore, by coupling such a superconductor to an LC resonator, we…

Superconductivity · Physics 2025-02-10 Yao Lu , Stefan Ilić , Risto Ojajärvi , Tero T. Heikkilä , F. Sebastian Bergeret

The order parameter and its variations in space and time in many different states in condensed matter physics at low temperatures are described by the complex function $\Psi({\bf r}, t)$. These states include superfluids, superconductors,…

Superconductivity · Physics 2015-02-10 David Pekker , C. M. Varma

Two-dimensional coherent spectroscopy (2DCS) provides insights into the nonlinear response of correlated lattice systems. We simulate multipulse excitations in the Hubbard model using nonequilibrium dynamical mean-field theory to extract…

Strongly Correlated Electrons · Physics 2025-05-01 Jiyu Chen , Naoto Tsuji , Philipp Werner

KCuCl$_3$ is known to show a quantum phase transition from the disordered to antiferromagnetically ordered phases by applying pressure. There is a longitudinal excitation mode (Higgs amplitude mode) in the vicinity of the quantum critical…

Strongly Correlated Electrons · Physics 2021-05-04 Masashige Matsumoto , Takahiro Sakurai , Yuki Hirao , Hitoshi Ohta , Yoshiya Uwatoko , Hidekazu Tanaka

Spontaneous symmetry breaking plays a key role in our understanding of nature. In a relativistic field theory, a broken continuous symmetry leads to the emergence of two types of fundamental excitations: massless Nambu-Goldstone modes and a…

We calculate the spectrum of the amplitude mode, the analog of the Higgs mode in high energy physics, for the $d$-density wave (DDW) state proposed to describe the pseudogap phase of the high $T_c$ cuprates. Even though the state breaks…

Superconductivity · Physics 2013-06-12 Jay D. Sau , Ipsita Mandal , Sumanta Tewari , Sudip Chakravarty

Using a state-of-the-art numerical scheme, we show that the Higgs mode under excitation exhibits chirped oscillations and exponential decay when fluctuations are included. This is in stark contrast to conventional BCS collisionless dynamics…

Superconductivity · Physics 2025-06-23 Thomas Blommel , Jason Kaye , Yuta Murakami , Emanuel Gull , Denis Golež

We leverage random phase approximation and unbiased auxiliary-field quantum Monte Carlo methods to compute dynamical correlations for a dilute homogeneous two-dimensional attractive Fermi gas. Our main purpose is to quantitatively study the…

We study collective amplitude modes of the superconducting order parameter in strongly-coupled electron-phonon systems described by the Holstein model using the nonequilibrium dynamical mean-field theory with the self-consistent Migdal…

Superconductivity · Physics 2017-06-19 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

We investigate the critical behavior and the dynamics of the amplitude (Higgs) mode close to the superfluid-insulator quantum phase transition in an amorphous system (i.e., a system subject to topological randomness). In particular, we map…

Disordered Systems and Neural Networks · Physics 2024-10-11 Vishnu Pulloor Kuttanikkad , Martin Puschmann , Rajesh Narayanan , Thomas Vojta

The emergence of scalar Higgs-type amplitude modes in systems where symmetry is spontaneously broken has been a highly successful, paradigmatic description of phase transitions, with implications ranging from high-energy particle physics to…

We consider the amplitude (Higgs) mode in a superconductor with a condensate flow (supercurrent). We demonstrate that, in this case, the amplitude mode corresponding to oscillations $\delta |\Delta|_{\Omega} \exp(i \Omega t)$ of the…

Superconductivity · Physics 2017-01-31 Andreas Moor , Anatoly F. Volkov , Konstantin B. Efetov

We present solid evidence for the existence of a well-defined Higgs amplitude mode in two-dimensional relativistic field theories based on analytically continued results from quantum Monte Carlo simulations of the Bose-Hubbard model in the…

Quantum Gases · Physics 2012-08-10 L. Pollet , N. V. Prokof'ev
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