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We solve the 3D periodic Anderson model via two impurity DMFT. We obtain the temperature v.s. hybridization phase diagram. In approaching the quantum critical point (QCP) both the Neel and lattice Kondo temperatures decrease and they do not…

Strongly Correlated Electrons · Physics 2007-05-23 Ping Sun , Gabriel Kotliar

We apply a recently developed functional renormalization group (fRG) scheme for quantum spin systems to the spin-1/2 antiferromagnetic XXZ model on a two-dimensional square lattice. Based on an auxiliary fermion representation we derive…

Strongly Correlated Electrons · Physics 2013-01-14 Stefan Göttel , Sabine Andergassen , Carsten Honerkamp , Dirk Schuricht , Stefan Wessel

We introduce an effective field theory for the vicinity of a zero temperature quantum transition between a metallic spin glass (``spin density glass'') and a metallic quantum paramagnet. Following a mean field analysis, we perform a…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , N. Read , R. Oppermann

A central problem in quantum condensed matter physics is the critical theory governing the zero temperature quantum phase transition between strongly renormalized Fermi-liquids as found in heavy fermion intermetallics and possibly high Tc…

High Energy Physics - Theory · Physics 2010-04-23 Mihailo Cubrovic , Jan Zaanen , Koenraad Schalm

We discuss quantum phase transition by an exactly solvable model in the dual gravity setup. By considering the effect of the scalar condensation on the fermion spectrum near the quantum critical point(QCP), we find that there is a…

High Energy Physics - Theory · Physics 2021-12-08 Eunseok Oh , Taewon Yuk , Sang-Jin Sin

We study an asymptotically free theory of $N$ relativistic Dirac fermions and a real scalar field coupled by Yukawa and scalar self-interactions in three dimensions using functional renormalisation. In the limit of many fermion flavours,…

High Energy Physics - Theory · Physics 2024-08-22 Charlie Cresswell-Hogg , Daniel F. Litim

We describe a minimal model, based on a spin only Hamiltonian with a single energy scale for itinerant electron metamagnetism. Within this model the metamagnetic critical field is directly proportional to the temperature where a peak in the…

Strongly Correlated Electrons · Physics 2018-08-20 P. Kumar , B. S. Shivaram , V. Celli

We consider a two dimensional itinerant antiferromagnet near a quantum critical point. We show that, contrary to conventional wisdom, fermionic excitations in the ordered state are not the usual Fermi liquid quasiparticles. Instead, down to…

Strongly Correlated Electrons · Physics 2009-11-10 I. Vekhter , A. V. Chubukov

Scale evolution of interactions between a Weyl fermion and a heavy magnetic impurity is calculated non-perturbatively using the functional renormalization group technique. Using an expansion around the vanishing pairing gap, we derive the…

High Energy Physics - Phenomenology · Physics 2023-10-27 Gergely Fejős , Taro Kimura , Zsolt Szép

We propose a new approach to study quantum phase transitions in low-dimensional fermionic or spin models that go from uniform to spatially inhomogeneous phases such as dimerized, trimerized, or incommensurate phases. It is based on studying…

Strongly Correlated Electrons · Physics 2009-11-11 Ö. Legeza , J. Sólyom , L. Tincani , R. M. Noack

Under an appropriate symmetric bulk bipartition in a one-dimensional symmetry protected topological phase with the Affleck-Kennedy-Lieb-Tasaki matrix product state wave function for the odd integer spin chains, a bulk critical entanglement…

Strongly Correlated Electrons · Physics 2018-10-31 Zi-Qi Wang , Guo-Yi Zhu , Guang-Ming Zhang

Quantum information theory and strongly correlated electron systems share a common theme of macroscopic quantum entanglement. In both topological error correction codes and theories of quantum materials (spin liquid, heavy fermion and…

Strongly Correlated Electrons · Physics 2022-10-11 Elio J. König , Piers Coleman , Alexei M. Tsvelik

We study a quantum phase transition of electrons on a two-dimensional square lattice. Our lattice model preserves the full $\mathrm{O}(4)$ symmetry of free spin-$\frac{1}{2}$ Dirac fermions on a bipartite lattice. In particular, it not only…

High Energy Physics - Lattice · Physics 2021-11-04 Hanqing Liu

The theory of deconfined quantum critical points describes phase transitions at temperature T = 0 outside the standard paradigm, predicting continuous transformations between certain ordered states where conventional theory requires…

Strongly Correlated Electrons · Physics 2016-04-28 Hui Shao , Wenan Guo , Anders W. Sandvik

We use Grassmann algebra to study the phase transition in the two-dimensional ferromagnetic Blume-Capel model from a fermionic point of view. This model presents a phase diagram with a second order critical line which becomes first order…

Statistical Mechanics · Physics 2009-11-13 Maxime Clusel , Jean-Yves Fortin , Vladimir N. Plechko

Relations between critical exponents, or scaling laws, at both continuous and discontinuous quantum phase transitions are derived and discussed. In general there are multiple dynamical exponents at these transitions, which complicates the…

Statistical Mechanics · Physics 2015-09-03 T. R. Kirkpatrick , D. Belitz

We consider the finite temperature scaling properties of a Kondo-destroying quantum critical point in the Ising-anisotropic Bose-Fermi Kondo model (BFKM). A cluster-updating Monte Carlo approach is used, in order to reliably access a wide…

Strongly Correlated Electrons · Physics 2009-09-29 Stefan Kirchner , Qimiao Si

Using quantum Monte Carlo and numerical analytic continuation methods, we study the dynamic spin structure factor and the single-hole spectral function of a two-dimensional quantum magnet ($J$-$Q$ model) at its quantum phase transition…

Strongly Correlated Electrons · Physics 2025-12-03 Sibin Yang , Anders W. Sandvik

Studies of non-Fermi liquid properties in heavy fermions have led to the current interest in the Bose-Fermi Kondo model. Here we use a dynamical large-N approach to analyze an SU(N)xSU($\kappa N$) generalization of the model. We establish…

Strongly Correlated Electrons · Physics 2007-05-23 Lijun Zhu , Stefan Kirchner , Qimiao Si , Antoine Georges

We study the low-energy behavior of metals coupled to gapless bosons. This problem arises in several contexts in modern condensed matter physics; we focus on the theory of metals near continuous quantum phase transitions (where the boson is…

Strongly Correlated Electrons · Physics 2014-06-06 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Steven A. Kivelson , S. Raghu