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We study the character of an Ising nematic quantum phase transition (QPT) deep inside a d-wave superconducting state with nodal quasiparticles in a two-dimensional tetragonal crystal. We find that, within a 1/N expansion, the transition is…

Superconductivity · Physics 2008-05-23 Eun-Ah Kim , Michael J. Lawler , Paul Oreto , Subir Sachdev , Eduardo Fradkin , Steven A. Kivelson

We discuss the quantum phase transition between a quantum nematic metallic state to an electron metallic smectic state in terms of an order-parameter theory coupled to fermionic quasiparticles. Both commensurate and incommensurate smectic…

Strongly Correlated Electrons · Physics 2009-07-09 Kai Sun , Benjamin M. Fregoso , Michael J. Lawler , Eduardo Fradkin

We present a theory of the isotropic-nematic quantum phase transition in the composite Fermi liquid arising in half-filled Landau levels. We show that the quantum phase transition between the isotropic and the nematic phase is triggered by…

Strongly Correlated Electrons · Physics 2016-05-04 Yizhi You , Gil Young Cho , Eduardo Fradkin

We establish a scenario where fluctuations of new degrees of freedom at a quantum phase transition change the nature of a transition beyond the standard Landau-Ginzburg paradigm. To this end we study the quantum phase transition of gapless…

Strongly Correlated Electrons · Physics 2017-10-10 Laura Classen , Igor F. Herbut , Michael M. Scherer

Since its discovery, iron-based superconductivity has been known to develop near an antiferromagnetic order, but this paradigm fails in the iron chalcogenide FeSe, whose single-layer version holds the record for the highest superconducting…

Strongly Correlated Electrons · Physics 2020-06-22 Wen-Jun Hu , Hsin-Hua Lai , Shou-Shu Gong , Rong Yu , Elbio Dagotto , Qimiao Si

We study quantum phase transitions (QPTs) associated with splitting nodal Fermi points, motivated by topological phase transitions between Dirac and Weyl semi-metals. A Dirac point in Dirac semi-metals may be split into two Weyl points by…

Strongly Correlated Electrons · Physics 2018-09-12 SangEun Han , Gil Young Cho , Eun-Gook Moon

We present a renormalization group theory for the onset of Ising-nematic order in a Fermi liquid in two spatial dimensions. This is a quantum phase transition, driven by electron interactions, which spontaneously reduces the point-group…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev

In this paper we investigate the nature of quantum phase transitions between two-dimensional Dirac semimetals and $Z_3$-ordered phases (e.g. Kekule valence-bond solid), where cubic terms of the order parameter are allowed in the quantum…

Strongly Correlated Electrons · Physics 2017-12-06 Shao-Kai Jian , Hong Yao

According to Landau criterion, a phase transition should be first order when cubic terms of order parameters are allowed in its effective Ginzburg-Landau free energy. Recently, it was shown by renormalization group (RG) analysis that…

Strongly Correlated Electrons · Physics 2020-02-12 Bo-Hai Li , Zi-Xiang Li , Hong Yao

The nematic electronic state and its associated nematic critical fluctuations have emerged as potential candidates for superconducting pairing in various unconventional superconductors. However, in most materials their coexistence with…

Superconductivity · Physics 2019-11-19 P. Reiss , D. Graf , A. A. Haghighirad , W. Knafo , L. Drigo , M. Bristow , A. J. Schofield , A. I. Coldea

We derive an effective field theory for the isotropic-nematic quantum phase transition of fractional quantum Hall (FQH) states. We demonstrate that for a system with an isotropic background the low-energy effective theory of the nematic…

Strongly Correlated Electrons · Physics 2015-01-07 Yizhi You , Gil Young Cho , Eduardo Fradkin

We present a strong coupling dynamical theory of the superconducting transition in a metal near a QCP towards $Q = 0$ nematic order. We use a fermion-boson model, in which we treat the ratio of effective boson-fermion coupling and the Fermi…

Superconductivity · Physics 2019-10-22 Avraham Klein , Andrey Chubukov

I begin with a proposed global phase diagram of the cuprate superconductors as a function of carrier concentration, magnetic field, and temperature, and highlight its connection to numerous recent experiments. The phase diagram is then used…

Strongly Correlated Electrons · Physics 2013-03-25 Subir Sachdev

We construct and discuss the field theory for tensorial nematic order parameter coupled to gapless four-component fermions at the quadratic band touching point in three (spatial) dimensions. Within a properly formulated epsilon-expansion…

Strongly Correlated Electrons · Physics 2015-07-22 Lukas Janssen , Igor F. Herbut

In the vicinity of a quantum critical point, quenched disorder can lead to a quantum Griffiths phase, accompanied by an exotic power-law scaling with a continuously varying dynamical exponent that diverges in the zero-temperature limit.…

Strongly Correlated Electrons · Physics 2021-12-14 Pascal Reiss , David Graf , Amir A. Haghighirad , Thomas Vojta , Amalia I. Coldea

The behaviour of matter near zero temperature continuous phase transitions, or 'quantum critical points' (QCPs) is a central topic of study in condensed matter physics. In fermionic systems, fundamental questions remain unanswered: the…

Strongly Correlated Electrons · Physics 2015-05-30 A. W. Rost , S. A. Grigera , J. A. N. Bruin , R. S. Perry , D. Tian , S. Raghu , S. A. Kivelson , A. P. Mackenzie

We study the effects of marginally spinful electron-electron interactions on the low-energy instabilities and favorable phase transitions in a two-dimensional (2D) spin-$1/2$ semimetal that owns a quadratic band crossing point (QBCP)…

Strongly Correlated Electrons · Physics 2024-10-01 Yi-Sheng Fu , Jing Wang

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

Discontinuous quantum phase transitions besides their general interest are clearly relevant to the study of heavy fermions and magnetic transition metal compounds. Recent results show that in many systems belonging to these classes of…

Strongly Correlated Electrons · Physics 2007-05-23 Andre S. Ferreira , Mucio A. Continentino

We study a non-Anderson disorder driven quantum phase transition in a semi-infinite Dirac semimetal with a flat boundary. The conformally invariant boundary conditions, which include those that are time-reversal invariant, lead to…

Disordered Systems and Neural Networks · Physics 2024-05-09 Eric Brillaux , Andrei A. Fedorenko , Ilya A. Gruzberg
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