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It has been shown that a gravitational dual to a superconductor can be obtained by coupling anti-de Sitter gravity to a Maxwell field and charged scalar. We review our earlier analysis of this theory and extend it in two directions. First,…

High Energy Physics - Theory · Physics 2011-03-02 Sean A. Hartnoll , Christopher P. Herzog , Gary T. Horowitz

The tunneling spectra of high temperature superconductors on Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ (Bi-2212) reproducibly show a high bias structure in the form of a dip-hump at voltages higher than the gap voltage. Of central concern is…

Superconductivity · Physics 2007-05-23 P. Romano , L. Ozyuzer , Z. Yusof , C. Kurter , J. F. Zasadzinski

We build a holographic $s$-wave conductor/superconductor model and an insulator/superconductor model in the four-dimensional conformal anomaly corrected~(CAC) AdS gravity. The effects of CAC parameter $\alpha$ are studied using both…

High Energy Physics - Theory · Physics 2020-06-15 Jun-Wang Lu , Huai-Fan Li , Ya-Bo Wu

Topological superconductors offer a fertile ground for realizing Majorana zero modes -- topologically protected, zero-energy quasiparticles that are resilient to local perturbations and hold great promise for fault-tolerant quantum…

We explore five-dimensional ${\cal N}=4$ $SU(2)\times U(1)$ and ${\cal N}=8$ SO(6) gauged supergravities as frameworks for condensed matter applications. These theories contain charged (dilatonic) black holes and 2-forms which have…

High Energy Physics - Theory · Physics 2011-06-21 Francesco Aprile , Diego Rodriguez-Gomez , Jorge G. Russo

In AdS/CFT, the holographic Weyl anomaly computation relates the a-anomaly coefficient to the properties of the bulk action at the UV fixed point. This universal behavior suggests the possibility of a holographic c-theorem for the a-anomaly…

High Energy Physics - Theory · Physics 2013-05-30 James T. Liu , Wafic Sabra , Zhichen Zhao

Interplay between antiferromagnetism and superconductivity is studied by using the 3-dimensional nearly half-filled Hubbard model with anisotropic transfer matrices $t_{\rm z}$ and $t_{\perp}$. The phase diagrams are calculated for varying…

Superconductivity · Physics 2009-11-07 Tetsuya Takimoto , Toru Moriya

We investigate the holographic p-wave superfluid in the background metric of the AdS soliton with $RF^{2}$ corrections. Two models, namely, the Maxwell complex vector field model and Yang-Mills theory, are studied in the above context by…

High Energy Physics - Theory · Physics 2020-01-24 Yanmei Lv , Xiongying Qiao , Mengjie Wang , Qiyuan Pan , Wei-Liang Qian , Jiliang Jing

We analytically study the critical phase of a mixed system of the U(2) gauge fields and global symmetry on the boundary using gauge/gravity. A variational minimization problem has been formulated. The numerical results pertinently show that…

High Energy Physics - Theory · Physics 2015-04-07 Davood Momeni , Muhammad Raza , Ratbay Myrzakulov

Recently developed numerical methods have enabled the explicit construction of the superconducting state of the Hubbard model of strongly correlated electrons in parameter regimes where the model also exhibits a pseudogap and a Mott…

Strongly Correlated Electrons · Physics 2015-03-20 Emanuel Gull , Olivier Parcollet , Andrew J. Millis

We explore the effects of the general non-minimally coupled $RF^2$-type couplings on the holographic s-wave superconductors numerically in the Schwarzschild-AdS background. We calculate the condensation and conductivity of the model for the…

High Energy Physics - Theory · Physics 2016-05-11 Özcan Sert

We study a superconducting hetro-junction with one side characterized by the unconventional chiral $p$-wave gap function $p_x\pm ip_y$ and the other side the conventional $s$-wave one. Though a relative phase of $\pm \frac{\pi}{2}$ between…

Superconductivity · Physics 2021-03-31 Chao Xu , Wang Yang , Congjun Wu

We study a generalization of the standard holographic p-wave superconductor featuring two interacting vector order parameters. Basing our argument on the symmetry and linear response properties of the model, we propose it as a holographic…

High Energy Physics - Theory · Physics 2014-03-12 Andrea Amoretti , Alessandro Braggio , Nicola Maggiore , Nicodemo Magnoli , Daniele Musso

We construct a holographic superconductor model, based on a gravity theory, which exhibits novel metal-insulator transitions. We investigate the condition for the condensation of the scalar field over the parameter space, and then focus on…

High Energy Physics - Theory · Physics 2018-01-10 Yi Ling , Peng Liu , Jian-Pin Wu , Meng-He Wu

We investigate the finite-frequency optical response of systems described at low energies by Dirac-Weyl Hamiltonians with higher pseudospin $\mathcal{S}$ values. In particular, we examine the situation where a tilting term is applied in the…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 W. Callum Wareham , E. J. Nicol

This study investigates various phase transitions, including those of 2nd, 1st, and 0th order, in a holographic p-wave superfluid model incorporating 4th- and 6th-order nonlinear terms with coefficients $\lambda$ and $\tau$. We demonstrate…

High Energy Physics - Theory · Physics 2025-12-08 Yue-Peng Wang , Zi-Qiang Zhao , Hui Zeng , Zhang-Yu Nie

We obtain holographic realizations for systems that have strong similarities to Mott insulators and supersolids, after examining the ground states of Einstein-Maxwell-scalar systems. The real part of the AC conductivity has a hard gap and a…

High Energy Physics - Theory · Physics 2015-10-05 Elias Kiritsis , Jie Ren

We address the question of whether an anisotropic gap $d_{x^2-y^2}$ symmetry is compatible with localized states in the normal phase. The issue is important in high $T_c$ superconductors where a superconductor to insulator transition is…

Condensed Matter · Physics 2016-08-31 A. G. Rojo , C. A. Balseiro

After the discovery of the $s$-wave and $p$-wave holographic superconductors, holographic models of $d$-wave superconductor have also been constructed recently. We study analytically the perturbation of the dual gravity theory to calculate…

High Energy Physics - Theory · Physics 2011-02-02 Hua-Bi Zeng , Yu Jiang , Zhe-Yong Fan , Hong-Shi Zong

In this paper, we have studied the effect of Born-Infeld electrodynamics in holographic $p$-wave superconductors with massive vector condensation. We have analysed this model in the probe limit using a variational method known as the…

High Energy Physics - Theory · Physics 2020-03-31 Ankur Srivastav , Debabrata Ghorai , Sunandan Gangopadhyay