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In phase transitions, spontaneous symmetry breaking results in a non-zero order parameter and two collective excitations: the Goldstone and the amplitude mode. These modes, which define key properties of superconductors and fermionic…

We study the collective excitations, i.e., the Goldstone (phase) mode and the Higgs (amplitude) mode, near the superfluid--Mott glass quantum phase transition in a two-dimensional system of disordered bosons. Using Monte Carlo simulations…

Disordered Systems and Neural Networks · Physics 2020-07-15 Martin Puschmann , Jack Crewse , Jose A. Hoyos , Thomas Vojta

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

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

The equations of motion of pair-like excitations in the superconducting state are studied for various types of pairing using the random phase approximation. The collective modes are computed of a layered electron gas described by a $t-t'$…

Condensed Matter · Physics 2009-10-22 D. van der Marel

Goldstone modes emerge associated with spontaneous breakdown of the continuous symmetry in the two-channel Kondo lattice, which describes strongly correlated f-electron systems with a non-Kramers doublet at each site. This paper derives the…

Strongly Correlated Electrons · Physics 2015-06-23 Shintaro Hoshino , Yoshio Kuramoto

We consider a problem of nonlinear response to an external electromagnetic radiation of conventional disordered superconductors which contain a small amount of weak magnetic impurities. We focus on the diffusive limit and use Usadel…

Superconductivity · Physics 2025-10-28 Yantao Li , Maxim Dzero

The complete spectrum of collective modes of the triplet order parameter in the superfluid neutron matter is examined in the BCS approximation below the pair-breaking threshold. The dispersion equations both for the unitary and nonunitary…

Nuclear Theory · Physics 2012-06-21 L. B. Leinson

A one-dimensional Bose-Einstein condensate may experience nonlinear periodic modulations known as "cnoidal waves". We argue that such structures represent promising candidates for the study of supersolidity-related phenomena in a…

Quantum Gases · Physics 2021-02-17 Giovanni I. Martone , Alessio Recati , Nicolas Pavloff

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

Isolated islands in two-dimensional strongly-disordered and strongly-coupled superconductors become optically active inducing sub-gap collective excitations in the ac conductivity. Here, we investigate the fate of these excitations as a…

Superconductivity · Physics 2022-04-06 Bo Fan , Abhisek Samanta , Antonio M. García-García

We investigate a double layer system with tight-binding hopping, intra-layer and inter-layer interactions, as well as a Josephson like coupling. We find that an antiferromagnetic spin polarization induces additional spin-triplet pairing…

Condensed Matter · Physics 2009-10-28 Christian Helm , Franz Forsthofer , Joachim Keller

We study the fluctuations of the amplitude (i.e. the Higgs-Anderson) mode in a superconducting system of coupled Dirac particles proposed as a model for possible surface or interface superconductivity in rhombohedral graphite. We show that…

Superconductivity · Physics 2016-01-13 V. J. Kauppila , T. Hyart , T. T. Heikkilä

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 report on the experimental measurement of the dispersion relation of the density and spin collective excitation modes in an elongated two-component superfluid of ultracold bosonic atoms. Our parametric spectroscopic technique is based on…

Domain walls with non-Abelian orientational moduli are constructed in U(N) gauge theories coupled to Higgs scalar fields with degenerate masses. The associated global symmetry is broken by the domain walls, resulting in the Nambu-Goldstone…

High Energy Physics - Theory · Physics 2014-11-20 Minoru Eto , Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

We derive the low energy effective action for the collective modes in systems of fermions interacting via a short-range s-wave attraction, featuring unequal chemical potentials for the two fermionic species (asymmetric systems). As a…

Superconductivity · Physics 2014-11-18 Elena Gubankova , Massimo Mannarelli , Rishi Sharma

We present a dynamical mean-field study of dynamical susceptibilities in two-band Hubbard model. Varying the model parameters we analyze the two-particle excitations in the normal as well as in the ordered phase, an excitonic condensate.…

Strongly Correlated Electrons · Physics 2019-04-01 D. Geffroy , J. Kaufmann , A. Hariki , P. Gunacker , A. Hausoel , J. Kunes

In a finite one-dimensional non-Hermitian system, the number of zero modes does not necessarily reflect the topology of the system. This is known as the breakdown of the bulk-boundary correspondence and has led to misconceptions about the…

Statistical Mechanics · Physics 2025-02-06 K. Monkman , J. Sirker

The holographic superconductor is one of the most popular models in the context of applied holography. Despite what its name suggests, it does not describe a superconductor. On the contrary, the low temperature phase of its dual field…

High Energy Physics - Theory · Physics 2023-04-04 Hyun-Sik Jeong , Matteo Baggioli , Keun-Young Kim , Ya-Wen Sun
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