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We give a unified overview of the zero temperature phases of compressible quantum matter: i.e. phases in which the expectation value of a globally conserved U(1) density, Q, varies smoothly as a function of parameters. Provided the global…

High Energy Physics - Theory · Physics 2011-07-08 Liza Huijse , Subir Sachdev

An anyon-chain-like lattice model with symmetry described by the Ising fusion category is studied. Combining numerical and analytical studies, we uncover a rich phase diagram that contains three phases: a symmetric critical phase and two…

Strongly Correlated Electrons · Physics 2026-04-23 Soumil Roychowdhury , Chenjie Wang

We study a quantum phase transition from a massless to massive Dirac fermion phase in a new two-dimensional bipartite lattice model of electrons that is amenable to sign-free quantum Monte Carlo simulations. Importantly, interactions in our…

Strongly Correlated Electrons · Physics 2022-12-23 Hanqing Liu , Emilie Huffman , Shailesh Chandrasekharan , Ribhu K. Kaul

We analyze a mean-field model of electrons with pure forward scattering interactions on a square lattice which exhibits spontaneous Fermi surface symmetry breaking with a d-wave order parameter: the surface expands along the kx-axis and…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroyuki Yamase , Vadim Oganesyan , Walter Metzner

We study ground state properties of periodic Anderson model in a two-dimensional square lattice with variational Monte Carlo method. It is shown that there are two different types of quantum phase transition: a conventional…

Strongly Correlated Electrons · Physics 2009-02-12 Hiroshi Watanabe , Masao Ogata

The quantum phase transitions of metals have been extensively studied in the rare-earth "heavy electron" materials, the cuprates, and related compounds. The Fermi surface of the metal often has different shapes in the states well away from…

Strongly Correlated Electrons · Physics 2007-05-23 Ribhu K. Kaul , Alexei Kolezhuk , Michael Levin , Subir Sachdev , T. Senthil

We study several models of $d$-dimensional fermions ($d=1,2,3$) with an emphasis on the properties of their gapless (metallic) phase. It occurs at $T = 0$ as a continuous transition when zeros of the partition function reach the real range…

Strongly Correlated Electrons · Physics 2025-08-25 Gennady Y. Chitov

Using Quantum Monte Carlo simulations, we study a series of models of fermions coupled to quantum Ising spins on a square lattice with $N$ flavors of fermions per site for $N=1,2$ and $3$. The models have an extensive number of conserved…

Strongly Correlated Electrons · Physics 2016-12-21 F. F. Assaad , T. Grover

We study a one-dimensional system that consists of an electron gas coupled to a spin-1/2 chain by Kondo interaction away from half-filling. We show that zero-temperature transitions between phases with "small" and "large" Fermi momenta can…

Strongly Correlated Electrons · Physics 2009-11-10 Eugene Pivovarov , Qimiao Si

We study ferromagnetism in the periodic Anderson model with and without a magnetic field by the Gutzwiller theory. We find three ferromagnetic phases: a weak ferromagnetic phase (FM0), a half-metallic phase without Fermi surface for the…

Strongly Correlated Electrons · Physics 2013-05-24 Katsunori Kubo

We propose an interacting model that is exactly solvable in any spatial dimension and gives rise to a Fermi liquid (FL) featuring a pseudogapped (PG) single-particle spectral function and a vanishing quasiparticle (QP) weight at…

Strongly Correlated Electrons · Physics 2026-03-17 Andreas Gleis , Gabriel Kotliar

Many correlated metallic materials are described by Landau Fermi-liquid theory at low energies, but for Hund metals the Fermi-liquid coherence scale $T_{\text{FL}}$ is found to be surprisingly small. In this Letter, we study the simplest…

Strongly Correlated Electrons · Physics 2020-04-08 Y. Wang , E. Walter , S. -S. B. Lee , K. M. Stadler , J. von Delft , A. Weichselbaum , G. Kotliar

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

We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit…

Strongly Correlated Electrons · Physics 2014-11-21 Mehdi Kargarian , Gregory A. Fiete

We devise a dimensional regularization scheme for quantum field theories with Fermi surface to study scaling behaviour of non-Fermi liquid states in a controlled approximation. Starting from a Fermi surface in two space dimensions, the…

Strongly Correlated Electrons · Physics 2013-12-12 Denis Dalidovich , Sung-Sik Lee

Motivated by the continued interest in Fermi-surface reconstruction without symmetry breaking, we present an analytically tractable microscopic model of a fractionalized Fermi liquid (FL$^*$) on a square lattice and discuss its potential…

Strongly Correlated Electrons · Physics 2026-04-08 Piers Coleman , Elio J. König , Aaditya Panigrahi , Alexei Tsvelik

We study the low temperature properties of the two-dimensional weakly interacting Hubbard model on $\ZZZ^2$ with renormalized chemical potential $\mu=2-\mu_0$, $\mu_0=10^{-10}$ fixed, in which case the Fermi surface is close to a perfect…

Mathematical Physics · Physics 2023-03-31 Zhituo Wang

We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

Strongly Correlated Electrons · Physics 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

We construct a two-dimensional lattice model of fermions coupled to Ising ferromagnetic critical fluctuations. Using extensive sign-problem-free quantum Monte Carlo simulations, we show that the model realizes a continuous itinerant quantum…

Strongly Correlated Electrons · Physics 2017-09-29 Xiao Yan Xu , Kai Sun , Yoni Schattner , Erez Berg , Zi Yang Meng

We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid…

Mathematical Physics · Physics 2014-06-16 F. Bonetto , V. Mastropietro