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We discuss shape (Pomeranchuk) instabilities of the Fermi surface of a two-dimensional Fermi system using bosonization. We consider in detail the quantum critical behavior of the transition of a two dimensional Fermi fluid to a nematic…

Strongly Correlated Electrons · Physics 2009-11-11 Michael J. Lawler , Victoria Fernandez , Daniel G. Barci , Eduardo Fradkin , Luis Oxman

We define an entropy for a quantum field theory by combining quantum fluctuations, scaling and the maximum entropy concept. This entropy has different behavior in asymptotically free and non--asymptotically free theories. We find that the…

High Energy Physics - Theory · Physics 2009-09-25 J. Perez-Mercader

The numerical renormalization group method is used to investigate zero temperature phase transitions in quantum impurity systems, in particular in the soft-gap Anderson model, where an impurity couples to a non-trivial fermionic bath. In…

Strongly Correlated Electrons · Physics 2009-11-10 H. -J. Lee , R. Bulla

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

The quantum phase transition in iron-based superconductors with 'half-Dirac' node at the electron Fermi surface as a $T=0$ structural phase transition described in terms of nematic order is discussed. An effective low energy theory that…

Strongly Correlated Electrons · Physics 2015-10-21 Imam Makhfudz

Critical properties of quantum spin chains with varying degrees of disorder are studied at zero temperature by analytical and extensive density matrix renormalization methods. Generally the phase diagram is found to contain three phases.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Enrico Carlon , Péter Lajko , Ferenc Iglói

An electronic nematic phase can be classified by a spontaneously broken discrete rotational symmetry of a host lattice. In a square lattice, there are two distinct nematic phases. The parallel nematic phase breaks $x$ and $y$ symmetry,…

Strongly Correlated Electrons · Physics 2007-05-23 Hyeonjin Doh , Nir Friedman , Hae-Young Kee

We study the unitary time evolution of the order parameter of a quantum system after a sudden quench in the parameter driving the transition. By mapping the dynamics onto the imaginary time path-integral in a film geometry we derive the…

Statistical Mechanics · Physics 2012-01-12 Andrea Gambassi , Pasquale Calabrese

We investigate the magnetic quantum phase-transitions in bulk correlated metals at the level of dynamical mean-field theory. To this end, we focus on the Hubbard model on a simple cubic lattice as a function of temperature and electronic…

Strongly Correlated Electrons · Physics 2024-09-09 S. Adler , D. R. Fus , M. O. Malcolms , A. Vock , K. Held , A. A. Katanin , T. Schäfer , A. Toschi

The gapless nodal fermions exhibit non-Fermi liquid behaviors at the nematic quantum critical point that is supposed to exist in some $d$-wave cuprate superconductors. This non-Fermi liquid state may be turned into a disorder-dominated…

Strongly Correlated Electrons · Physics 2015-05-26 Jing Wang

The possibility is investigated that competition between fluctuations at different symmetry-related ordering wave vectors may affect the quantum phase transition between a fermi liquid and a longitudinal spin density wave state, in…

Strongly Correlated Electrons · Physics 2010-02-22 A. J. Millis

We study the instabilities to the conformal critical point of an exactly solvable family of Gross-Neveu models. Using conformal field theory techniques, we construct the zero-temperature phase diagram and identify the superconducting and…

Strongly Correlated Electrons · Physics 2026-02-02 Jaewon Kim

The conductivity and the tunneling density of states of disordered itinerant electrons in the vicinity of a ferromagnetic transition at low temperature are discussed. Critical fluctuations lead to nonanalytic frequency and temperature…

Statistical Mechanics · Physics 2009-10-31 D. Belitz , T. R. Kirkpatrick , R. Narayanan , Thomas Vojta

We study the formation of an electronic nematic phase characterized by a broken point-group symmetry in interacting fermion systems within the weak coupling theory. As a function of interaction strength and chemical potential, the phase…

Strongly Correlated Electrons · Physics 2007-05-23 Igor Khavkine , Chung-Hou Chung , Vadim Oganesyan , Hae-Young Kee

We study the effect of quenched disorder on the semimetal-superconductor quantum phase transition in a model of two-dimensional Dirac semimetal with $N$ flavors of two-component Dirac fermions, using perturbative renormalization group…

Strongly Correlated Electrons · Physics 2018-12-03 Hennadii Yerzhakov , Joseph Maciejko

We consider the Blume-Capel model with the quantum tunneling between the excited states. We find a magnetically ordered phase transition induced by quantum fluctuation in a model. The model has no phase transition in the corresponding…

Statistical Mechanics · Physics 2007-05-23 Norikazu Todoroki , Seiji Miyashita

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 address the problem of orientational order in frustrated interaction systems as a function of the relative range of the competing interactions. We study a spin model Hamiltonian with short range ferromagnetic interaction competing with…

Statistical Mechanics · Physics 2013-06-14 Daniel G. Barci , Leonardo Ribeiro , Daniel A. Stariolo

We apply the self-consistent renormalized perturbation theory to the Hubbard model on the square lattice, at finite temperatures in order to study the evolution of the Fermi-surface (FS) as a function of temperature and doping. Previously,…

Strongly Correlated Electrons · Physics 2018-12-07 Sergey Slizovskiy , Pablo Rodriguez-Lopez , Joseph J. Betouras

We study theoretically quantum melting transitions of stripe order in a metallic environment, and the associated reconstruction of the electronic Fermi surface. We show that such quantum phase transitions can be continuous in situations…

Strongly Correlated Electrons · Physics 2012-10-08 David F. Mross , T. Senthil