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Electronic nematic and smectic liquid crystals are spontaneous symmetry-breaking phases that are seen to precede or coexist with enigmatic unconventional superconducting states in multiple classes of materials. In this Letter we describe…

Electronic-liquid-crystal phases, in which part of the spatial symmetries are broken spontaneously, are considered to play a vital role in interpreting the structure-property relation in strongly-correlated materials. Although…

Strongly Correlated Electrons · Physics 2014-09-30 Jing Tao , Kai Sun , Weiguo Yin , S. J. Pennycook , J. M. Tranquada , Yimei Zhu

Due to the intertwining between electronic nematic and elastic degrees of freedom, lattice defects and structural inhomogeneities commonly found in crystals can have a significant impact on the electronic properties of nematic materials.…

Superconductivity · Physics 2022-12-13 Aritra Lahiri , Avraham Klein , Rafael M. Fernandes

Liquid crystalline phases of matter permeate nature and technology, with examples ranging from cell membranes to liquid-crystal displays. Remarkably, electronic liquid crystal phases can exist in two-dimensional electron systems (2DES) at…

Mesoscale and Nanoscale Physics · Physics 2017-11-20 Q. Qian , J. Nakamura , S. Fallahi , G. C. Gardner , M. J. Manfra

The recent discovery of spontaneous chiral symmetry breaking has demonstrated the possibility of discovering the exotic textures of ferromagnetic systems in liquid crystalline fluid ferro-electrics. We show that the polar smectic mesophase…

Soft Condensed Matter · Physics 2025-08-22 Jordan Hobbs , Calum J. Gibb , Richard J. Mandle

In this lectures I discuss the electronic liquid crystal (ELC) phases in correlated electronic systems, what these phases are and in what context they arise. I will go over the strongest experimental evidence for these phases in a variety…

Strongly Correlated Electrons · Physics 2015-03-14 Eduardo Fradkin

Electronic nematics are exotic states of matter where electronic interactions break a rotational symmetry of the underlying lattice, in analogy to the directional alignment without translational order in nematic liquid crystals.…

Strongly Correlated Electrons · Physics 2017-09-13 F. Ronning , T. Helm , K. Shirer , M. Bachmann , L. Balicas , M. Chan , B. J. Ramshaw , R. D. McDonald , F. F. Balakirev , M. Jaime , E. D. Bauer , P. J. W. Moll

The electronic nematic phase occurs when the point-group symmetry of the lattice structure is broken, due to electron-electron interactions. We study a model for the nematic phase on a square lattice with emphasis on the phase transition…

Strongly Correlated Electrons · Physics 2009-11-10 Hae-Young Kee , Eugene H. Kim , Chung-Hou Chung

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 investigate the connection between the transport properties and the thermodynamics of electronic systems with a tendency to form broken-symmetry mesophases evocative of the physics of liquid crystals. Through a hydrodynamic approach to…

Strongly Correlated Electrons · Physics 2009-11-13 Rafael M. Fernandes , Jörg Schmalian , Harry Westfahl

"Floquet engineering" - designing band structures "on-demand" through the application of coherent time-periodic drives - has recently emerged as a powerful tool for creating new topological and anomalous phases of matter. In this…

Strongly Correlated Electrons · Physics 2021-09-16 Iliya Esin , Gaurav Kumar Gupta , Erez Berg , Mark S. Rudner , Netanel H. Lindner

Correlated electron fluids can exhibit a startling array of complex phases, among which one of the more surprising is the electron nematic, a translationally invariant metallic phase with a spontaneously generated spatial anisotropy.…

Strongly Correlated Electrons · Physics 2015-03-13 Eduardo Fradkin , Steven A. Kivelson , Michael J. Lawler , James P. Eisenstein , Andrew P. Mackenzie

Understanding the organizing principles of interacting electrons and the emergence of novel electronic phases is a central endeavor of condensed matter physics. Electronic nematicity, in which the discrete rotational symmetry in the…

Electronic nematic order is a correlated phase of matter in which low-energy electronic states spontaneously break a discrete rotational symmetry of a crystal lattice. Bilinear coupling between the electronic nematic and strains of the same…

We study theoretically the electron correlation effect in a three-dimensional Dirac fermion system which describes a topologically nontrivial state. It is shown within the mean-field approximation that time-reversal and inversion symmetries…

Strongly Correlated Electrons · Physics 2013-02-12 Akihiko Sekine , Kentaro Nomura

Strongly interacting electrons can exhibit novel collective phases, among which the electronic nematic phases are perhaps the most surprising as they spontaneously break rotational symmetry of the underlying crystal lattice. The electron…

Electronic nematicity, a correlated state that spontaneously breaks rotational symmetry, is observed in several layered quantum materials. In contrast to their liquid-crystal counterparts, the nematic director cannot usually point in an…

The interplay of crystal symmetry, magnetism, band topology and electronic correlation can be the origin of quantum phase transitions in condensed matter. Particularly, square-lattice materials have been serving as a versatile platform to…

Materials Science · Physics 2021-04-21 Shiming Lei , Audrey Saltzman , Leslie M. Schoop

Symmetry breaking is a fundamental concept in condensed matter physics whose presence often heralds new phases of matter. For instance, the breaking of time reversal symmetry is traditionally linked to magnetic phases in a material, while…

Strongly Correlated Electrons · Physics 2018-01-24 S. Davis , Z. Huang , K. Han , Ariando , T. Venkatesan , V. Chandrasekhar

An electronic nematic state spontaneously breaks a point-group symmetry of an underlying lattice. As a result, the nematic-isotropic transition accompanies a Fermi surface distortion. However, the anisotropic nature of the nematic state at…

Strongly Correlated Electrons · Physics 2007-06-18 Hyeonjin Doh , Hae-Young Kee
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