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We consider a $\phi^4$-theory with a position-dependent distance from the critical point. One realization of this model is a classical ferromagnet subject to non-uniform mechanical stress. We find a sharp phase transition where the envelope…

Statistical Mechanics · Physics 2009-11-13 D. Belitz , T. R. Kirkpatrick , Ronojoy Saha

We investigate a four-impurity Anderson model where localized orbitals are located at vertices of a regular tetrahedron and find a novel fixed point in addition to the ordinary Fermi liquid phase. That is characterized by unscreened scalar…

Strongly Correlated Electrons · Physics 2015-06-05 K. Hattori , H. Tsunetsugu

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 have studied a quantum Hamiltonian that models an array of ultrasmall Josephson junctions with short range Josephson couplings, $E_J$, and charging energies, $E_C$, due to the small capacitance of the junctions. We derive a new effective…

Statistical Mechanics · Physics 2016-08-15 T. K. Kopeć , J. V. José

We report spontaneous appearance of antiferromagnetic order in a model gapped quantum paramagnet Ni(Cl$_{1-x}$Br$_x$)$_2$$\cdot$4SC(NH$_2$)$_2$ induced by a change in bromine concentration x. This transition is qualitatively similar to a z…

Strongly Correlated Electrons · Physics 2017-11-08 K. Yu. Povarov , A. Mannig , G. Perren , J. S. Möller , E. Wulf , J. Ollivier , A. Zheludev

The instability of a Fermi surface against Ising nematic order destroys the quasiparticle character of the low-energy degrees of freedom. Therefore, observables exhibit deviations from Fermi liquid behavior which gives rise to the term…

Strongly Correlated Electrons · Physics 2020-11-17 Bernhard Frank , Francesco Piazza

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

Quasi-two dimensional itinerant fermions in the Anti-Ferro-Magnetic (AFM) quantum-critical region of their phase diagram, such as in the Fe-based superconductors or in some of the heavy-fermion compounds, exhibit a resistivity varying…

Strongly Correlated Electrons · Physics 2015-11-10 C. M. Varma

The free fermion nature of interacting spins in one dimensional (1D) spin chains still lacks a rigorous study. In this letter we show that the length-$1$ spin strings significantly dominate critical properties of spinons, magnons and free…

Statistical Mechanics · Physics 2017-12-13 Feng He , Yu-Zhu Jiang , Yi-Cong Yu , Hai-Qing Lin , Xi-Wen Guan

The nearest-neighbor quantum-antiferromagnetic (AF) Heisenberg model for spin 1/2 on a two-dimensional square lattice is studied in the auxiliary-fermion representation. Expressing spin operators by canonical fermionic particles requires a…

Strongly Correlated Electrons · Physics 2009-11-10 Jan Brinckmann , Peter Woelfle

The pseudogap Anderson impurity model provides a paradigm for understanding local quantum phase transitions, in this case between generalised fermi liquid and degenerate local moment phases. Here we develop a non-perturbative local moment…

Strongly Correlated Electrons · Physics 2009-11-10 Matthew T Glossop , David E Logan

The low-energy properties of a system at a critical point may have additional symmetries not present in the microscopic Hamiltonian. This letter presents the theory of a class of multicritical points that provide an interesting example of…

Strongly Correlated Electrons · Physics 2009-11-07 Kedar Damle , David A. Huse

A system of spinless fermions in $d=1+\epsilon$ dimensions, at zero-temperature and in random potential is studied using the perturbative renormalization group to first order in disorder and to second order in interaction. We find a…

Superconductivity · Physics 2009-10-30 Igor F. Herbut

We identify a quantum critical point with fractal symmetry whose effective theory eludes the renormalization group framework. We consider the Newman-Moore model with three-body interaction subjected to an external transverse field, which…

Strongly Correlated Electrons · Physics 2021-05-14 Zheng Zhou , Xue-Feng Zhang , Frank Pollmann , Yizhi You

The electrical current through an arbitrary junction connecting quantum wires of spinless interacting fermions is calculated in fermionic representation. The wires are adiabatically attached to two reservoirs at chemical potentials…

Strongly Correlated Electrons · Physics 2014-12-09 D. N. Aristov , P. Wölfle

We revisit two-dimensional frustrated quantum magnetism from a new perspective, with the aim of exploring new critical points and critical phases. We study easy-plane triangular antiferromagnets using a dual vortex approach, fermionizing…

Strongly Correlated Electrons · Physics 2009-11-11 Jason Alicea , Olexei I. Motrunich , Michael Hermele , Matthew P. A. Fisher

The spectral properties of a disordered system with few interacting three-dimensional spinless fermions are investigated. We show the existence of a critical spacings distribution which is invariant upon increase of the system size, but…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Philippe Jacquod

Random non-commutative geometries are a novel approach to taking a non-perturbative path integral over geometries. They were introduced in arxiv.org/abs/1510.01377, where a first examination was performed. During this examination we found…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Lisa Glaser

Attempts to extract the order of the chiral transition of QCD at zero chemical potential, with two dynamical flavors of massless quarks, from simulations with progressively decreasing pion mass have remained inconclusive because of their…

High Energy Physics - Lattice · Physics 2018-11-13 Francesca Cuteri , Owe Philipsen , Alessandro Sciarra

We study a cluster Ising model with non-Hermitian external field which can be exactly solved in the language of free fermions. By investigating the second derivative of energy density and fidelity, the possible new critical points are…

Statistical Mechanics · Physics 2022-05-31 Zheng-Xin Guo , Xue-Jia Yu , Xi-Dan Hu , Zhi Li