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The experimental observation of superconductivity in doped semimetals and semiconductors, where the Fermi energy is comparable to or smaller than the characteristic phonon frequencies, is not captured by the conventional theory. In this…

Superconductivity · Physics 2019-09-16 Vladyslav Kozii , Zhen Bi , Jonathan Ruhman

We investigate a semimetal-superconductor phase transition of two-dimensional Dirac electrons at zero temperature by large-scale and essentially unbiased quantum Monte Carlo simulations for the half-filled attractive Hubbard model on the…

Strongly Correlated Electrons · Physics 2018-07-20 Yuichi Otsuka , Kazuhiro Seki , Sandro Sorella , Seiji Yunoki

We study the Quantum Electrodynamics of 2D and 3D Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms of the relative strength of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 J. Gonzalez

We theoretically study the stability of three dimensional Dirac semimetals against short-range electron-electron interaction and quenched time-reversal symmetric disorder (but excluding mass disorder). First we focus on the clean…

Mesoscale and Nanoscale Physics · Physics 2016-09-23 Bitan Roy , Sankar Das Sarma

Three dimensional Dirac semimetals are stable against weak potential disorder, but not against strong disorder. In the language of renormalization group, such stability stems from the irrelevance of weak disorder in the vicinity of the…

Disordered Systems and Neural Networks · Physics 2015-01-08 Bitan Roy , S. Das Sarma

We study two-dimensional massless Dirac fermions at neutrality, coupled to bosonic modes through a Yukawa interaction. We then examine the intriguing possibility that such a system, devoid of carriers at zero temperature, might nevertheless…

Strongly Correlated Electrons · Physics 2026-02-12 Veronika C. Stangier , Daniel E. Sheehy , Jörg Schmalian

We study the competition of spin- and charge-density waves and their quantum multicritical behavior for the semimetal-insulator transitions of low-dimensional Dirac fermions. Employing the effective Gross-Neveu-Yukawa theory with two order…

Strongly Correlated Electrons · Physics 2016-03-23 Laura Classen , Igor F. Herbut , Lukas Janssen , Michael M. Scherer

Dirac semimetals host bulk band-touching Dirac points and a surface Fermi loop. We develop a theory of superconducting Dirac semimetals. Establishing a relation between the Dirac points and the surface Fermi loop, we clarify how the…

Superconductivity · Physics 2015-11-03 Shingo Kobayashi , Masatoshi Sato

In fermionic systems with different types of quasi-particles, attractive interactions can give rise to exotic superconducting states, as pair density wave (PDW) superconductivity and breached pairing. In the last years the search for these…

Strongly Correlated Electrons · Physics 2015-05-20 Aline Ramires , Mucio A. Continentino

Superconductivity becomes more interesting when it encounters dimensional constraint or topology, because it is of importance for exploring exotic quantum phenomena or developing superconducting electronics. Here we report the coexistence…

We analyze the scaling behavior at and near a quantum critical point separating a semimetallic from a superfluid phase. To this end we compute the renormalization group flow for a model of attractively interacting electrons with a linear…

Strongly Correlated Electrons · Physics 2011-11-08 Benjamin Obert , So Takei , Walter Metzner

Superconductivity often emerges as a dome around a quantum critical point (QCP) where long-range order is suppressed to zero temperature. So far, this has been mostly studied in magnetically ordered materials. By contrast, the interplay…

Quantum criticality, a manifestation of emergent scale invariance in electron wavefunctions arises from intricate many-body quantum entanglement. One of the natural venues for the criticality is clean undoped Dirac semimetals, known as a…

Strongly Correlated Electrons · Physics 2014-09-03 Eun-Gook Moon , Yong Baek Kim

A variety of compounds, for example doped paraelectrics and polar metals, exhibit both ferroelectricity and correlated electronic phenomena such as low-density superconductivity and anomalous transport. Characterizing such properties is…

Strongly Correlated Electrons · Physics 2023-07-19 Avraham Klein , Vladyslav Kozii , Jonathan Ruhman , Rafael M. Fernandes

We present a theory describing the superconducting (SC) interaction of Dirac electrons in a quasi-two-dimensional system consisting of a stack of N planes. The occurrence of a SC phase is investigated both at T=0 and T\neq 0, in the case of…

Superconductivity · Physics 2020-10-05 E. C. Marino , Lizardo H. C. M. Nunes

The critical theory of the onset of antiferromagnetism in metals, with concomitant Fermi surface reconstruction, has recently been shown to be strongly coupled in two spatial dimensions. The onset of unconventional superconductivity near…

Strongly Correlated Electrons · Physics 2012-07-10 Subir Sachdev , Max A. Metlitski , Matthias Punk

We propose two possible experimental realizations of a 2+1 dimensional spacetime supersymmetry at a quantum critical point on the surface of three dimensional topological insulators. The quantum critical point between the semi-metallic…

Strongly Correlated Electrons · Physics 2014-02-17 Pedro Ponte , Sung-Sik Lee

We study the effect of disorder on massless, spinful Dirac fermions in two spatial dimensions with attractive interactions, and show that the combination of disorder and attractive interactions is deadly to the Dirac semimetal phase. First,…

Strongly Correlated Electrons · Physics 2013-05-15 Rahul Nandkishore , Joseph Maciejko , David A. Huse , S. L. Sondhi

We study superconductivity in a Weyl semimetal with a tilted dispersion around two Weyl points of opposite chirality. In the absence of any tilt, the state with zero momentum pairing between two Fermi sheets enclosing each Weyl point has…

Superconductivity · Physics 2018-04-04 M. Alidoust , K. Halterman , A. A. Zyuzin

We study the phase diagram of a Dirac semimetal in a magnetic field at a nonzero charge density. It is shown that there exists a critical value of the chemical potential at which a first-order phase transition takes place. At subcritical…

Mesoscale and Nanoscale Physics · Physics 2013-10-09 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy
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