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In these lecture notes we review some recent attempts at searching for non-Fermi liquids and novel quantum phase transitions in holographic systems using gauge/gravity duality. We do this by studying the simplest finite density system…

High Energy Physics - Theory · Physics 2017-08-23 Nabil Iqbal , Hong Liu , Márk Mezei

We investigate the holographic entanglement entropy (HEE) of a strip geometry in four dimensional Q-lattice backgrounds, which exhibit metal-insulator transitions in the dual field theory. Remarkably, we find that the HEE always displays a…

High Energy Physics - Theory · Physics 2016-04-26 Yi Ling , Peng Liu , Chao Niu , Jian-Pin Wu , Zhuo-Yu Xian

Quantum critical fluctuations may prove to play an instrumental role in the formation of unconventional superconductivity. Here, we show that the characteristic scaling of a marginal Fermi liquid is present in inelastic light scattering…

The non-Hermitian extension of quasicrystals (QC) are highly tunable system for exploring novel material phases. While extended-localized phase transitions have been observed in one dimension, quantum phase transition in higher dimensions…

Quantum Physics · Physics 2023-09-19 Xianqi Tong , Su-Peng Kou

The holographic principle is often (and hastily) attributed to quantum gravity and domains of the Planck size. Meanwhile it can be usefully applied to problems where gravitation effects are negligible and domains of less exotic size. The…

High Energy Physics - Theory · Physics 2017-08-23 B. P. Kosyakov

We investigate the issues of competing orders and quantum criticality in cuprate superconductors via experimental studies of the high-field thermodynamic phase diagrams and the quasiparticle tunneling spectroscopy. Our results suggest…

Superconductivity · Physics 2007-05-23 N. -C. Yeh , C. -T. Chen , V. S. Zapf , A. D. Beyer , C. R. Hughes , M. -S. Park , K. -H. Kim , S. -I. Lee

Dynamical mean field theory is used to study the quantum critical point (QCP) in the doped Hubbard model on a square lattice. The QCP is characterized by a universal scaling form of the self energy and a spin density wave instability at an…

Strongly Correlated Electrons · Physics 2017-04-05 Wenhu Xu , Gabriel Kotliar , Alexei M. Tsvelik

We report on susceptibility measurements in the strongly correlated layered cobalt oxide [BiBa0.66K0.36O2]CoO2, which demonstrate the existence of a magnetic quantum critical point (QCP) governing the electronic properties. The investigated…

Strongly Correlated Electrons · Physics 2010-07-12 P. Limelette , W. Saulquin , H. Muguerra , D. Grebille

We develop a theory of the conductance of a quantum dot connected to two leads by single-mode quantum point contacts. If the contacts are in the regime of perfect transmission, the conductance shows no Coulomb blockade oscillations as a…

Condensed Matter · Physics 2009-10-28 A. Furusaki , K. A. Matveev

We explicitly derive the duality between a free electronic Dirac cone and quantum electrodynamics in $(2+1)$ dimensions (QED$_3$) with $N = 1$ fermion flavors. The duality proceeds via an exact, non-local mapping from electrons to dual…

Strongly Correlated Electrons · Physics 2016-07-06 David F. Mross , Jason Alicea , Olexei I. Motrunich

In this letter, we study the charge response from higher derivatives over the background with homogeneous disorder introduced by axions. We first explore the bounds on the higher derivatives coupling from DC conductivity and the anomalies…

High Energy Physics - Theory · Physics 2017-05-19 Guoyang Fu , Jian-Pin Wu , Baicheng Xu , Jiaqiu Liu

We study sharp peaks in the conductance-voltage characteristics of a double quantum dot and a quantum dot spin-valve that are located around zero bias. The peaks share similarities with a Kondo peak but can be clearly distinguished, in…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Sebastian Wenderoth , Jakob Bätge , Rainer Härtle

We discuss the gravitational dual of a holographic superconductor consisting of a U(1) gauge field, a complex scalar field coupled to a charged AdS black hole and a higher-derivative coupling between the U(1) gauge field and the scalar with…

High Energy Physics - Theory · Physics 2013-11-13 Xiao-Mei Kuang , Eleftherios Papantonopoulos , George Siopsis , Bin Wang

We construct the simplest gravitational dual model of a superconductor on Q-lattices. We analyze the condition for the existence of a critical temperature at which the charged scalar field will condense. In contrast to the holographic…

High Energy Physics - Theory · Physics 2015-02-17 Yi Ling , Peng Liu , Chao Niu , Jian-Pin Wu , Zhuo-Yu Xian

At quantum critical points (QCP) \cite{Pfeuty:1971,Young:1975,Hertz:1976,Chakravarty:1989,Millis:1993,Chubukov:1 994,Coleman:2005} there are quantum fluctuations on all length scales, from microscopic to macroscopic lengths, which,…

Strongly Correlated Electrons · Physics 2007-05-23 Angela Kopp , Sudip Chakravarty

We propose to measure the differential conductance $G$ as a function of the bias $V$ for a quantum dot side-coupled to a topological superconductor to detect the existence of the chiral Majorana edge states. It turns out that $G$ for the…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Yu-Li Lee

We analyze and overview several different unconventional quantum criticalities. One origin of the unconventionality is the proximity to first-order transitions. The border between the first-order and continuous transitions is described by a…

Strongly Correlated Electrons · Physics 2010-08-24 Masatoshi Imada , Takahiro Misawa , Youhei Yamaji

We propose a model for Quantum Chromodynamics, obtained by ignoring the angular dependence of the gluon fields, which could qualitatively describe systems containing one heavy quark. This leads to a two dimensional gauge theory which has…

High Energy Physics - Phenomenology · Physics 2010-11-01 K. S. Gupta , S. Guruswamy , S. G. Rajeev

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

We present a brief introduction to QCD, the QCD phase diagram, and non-equilibrium phenomena in QCD. We emphasize aspects of the theory that can be addressed using computational methods, in particular euclidean path integral Monte Carlo,…

Nuclear Theory · Physics 2016-12-14 Thomas Schaefer