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The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

Blocking transformation is performed in quantum field theory at finite temperature. It is found that the manner temperature deforms the renormalized trajectories can be used to understand better the role played by the quantum fluctuations.…

High Energy Physics - Theory · Physics 2009-10-28 Sen-Ben Liao , Janos Polonyi , Dapeng Xu

The purpose of this work is to understand the zero temperature phases, and the phase transitions, of Heisenberg spin systems which can have an extensive, spontaneous magnetic moment; this entails a study of quantum transitions with an order…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , T. Senthil

We study the effects of random fluctuations on quantum phase transitions by the energy gap analysis. For the infinite-ranged spin-glass models with a transverse field, we find that a strong sample-to-sample fluctuation effect leads to broad…

Disordered Systems and Neural Networks · Physics 2010-04-13 Kazutaka Takahashi , Yoshiki Matsuda

We use our recently developed functional renormalization group (FRG) approach for quantum spin systems to investigate the phase diagram of the frustrated $J_{1}J_{2}J_{3}$ quantum Heisenberg model on a cubic lattice. From a simple…

Strongly Correlated Electrons · Physics 2023-02-28 Dmytro Tarasevych , Andreas Rückriegel , Savio Keupert , Vasilios Mitsiioannou , Peter Kopietz

We explore the derivation of interatomic exchange interactions in ferromagnets within density-functional theory (DFT) and the mapping of DFT results onto a spin Hamiltonian. We delve into the problem of systems comprising atoms with strong…

Materials Science · Physics 2013-10-10 Marjana Lezaic , Phivos Mavropoulos , Gustav Bihlmayer , Stefan Blügel

Entropic forces in classical many-body systems, e.g. colloidal suspensions, can lead to the formation of new phases. Quantum fluctuations can have similar effects: spin fluctuations drive the superfluidity of Helium-3 and a similar…

Strongly Correlated Electrons · Physics 2018-05-23 Andrew G. Green , Gareth Conduit , Frank Kruger

We study a spin $S$ quantum Heisenberg model on the Fe lattice of the rare-earth oxypnictide superconductors. Using both large $S$ and large $N$ methods, we show that this model exhibits a sequence of two phase transitions: from a high…

Strongly Correlated Electrons · Physics 2009-11-13 Chen Fang , Hong Yao , Wei-Feng Tsai , JiangPing Hu , Steven A. Kivelson

We demonstrate an approach for calculating temperature-dependent quantum and anharmonic effects with beyond density-functional theory accuracy. By combining machine-learned potentials and the stochastic self-consistent harmonic…

Materials Science · Physics 2023-03-03 Carla Verdi , Luigi Ranalli , Cesare Franchini , Georg Kresse

The two-orbital degenerate Hubbard model with distinct hopping integrals is studied by combining dynamical mean-field theory with quantum Monte Carlo simulations. The role of orbital fluctuations for the nature of the Mott transition is…

Strongly Correlated Electrons · Physics 2009-11-11 Akihisa Koga , Norio Kawakami , T. M. Rice , Manfred Sigrist

A group symmetry analysis of the low lying levels of the spin-1/2 kagom\'e Heisenberg antiferromagnet is performed for small samples up to N=27. This approach allows to follow the effect of quantum fluctuations when the sample size…

Strongly Correlated Electrons · Physics 2009-10-30 P. Lecheminant , B. Bernu , C. Lhuillier , L. Pierre , P. Sindzingre

Quantum magnets represent an ideal playground for the controlled realization of novel quantum phases and of quantum phase transitions. The Hamiltonian of the system can be indeed manipulated by applying a magnetic field or pressure on the…

Strongly Correlated Electrons · Physics 2012-04-25 Rong Yu , Stephan Haas , Tommaso Roscilde

Although magnetic frustration in metals provides a promising avenue for novel quantum phenomena, their microscopic interpretation is often challenging. Here we use the face-centered cubic intermetallic HoInCu$_4$ as model material to show…

Strongly Correlated Electrons · Physics 2025-07-28 X. Boraley , O. Stockert , J. Lass , R. Sibille , Ø. S. Fjellvåg , S. H. Moody , A. M. Läuchli , V. Fritsch , D. G. Mazzone

In frustrated magnetic systems with competing interactions fluctuations can lift the residual accidental degeneracy. We argue that the state selection may have different outcomes for quantum and thermal order by disorder. As an example, we…

Strongly Correlated Electrons · Physics 2020-12-11 R. Schick , T. Ziman , M. E. Zhitomirsky

A quantum critical point (QCP) is a singularity in the phase diagram arising due to quantum mechanical fluctuations. The exotic properties of some of the most enigmatic physical systems, including unconventional metals and superconductors,…

Strongly Correlated Electrons · Physics 2014-05-13 P. Merchant , B. Normand , K. W. Krämer , M. Boehm , D. F. McMorrow , Ch. Rüegg

Mean-field theories have proven to be efficient tools for exploring diverse phases of matter, complementing alternative methods that are more precise but also more computationally demanding. Conventional mean-field theories often fall short…

Strongly Correlated Electrons · Physics 2024-09-04 Junyi Zhang , Zhengqian Cheng

In contrast to strongly frustrated classical systems, their quantum counterparts typically have a non-degenerate ground state. A counterexample is the celebrated Heisenberg sawtooth spin chain with ferromagnetic zigzag bonds $J_1$ and…

Strongly Correlated Electrons · Physics 2021-01-19 J. Richter , J. Schulenburg , D. V. Dmitriev , V. Ya. Krivnov , J. Schnack

We establish an important duality correspondence between topological order in quantum many body systems and criticality in ferromagnetic classical spin systems. We show how such a correspondence leads to a classical and simple procedure for…

Quantum Physics · Physics 2020-05-20 Mohammad Hossein Zarei , Afshin Montakhab

The quantum phase transition in an atom-molecule conversion system with atomic hopping between different hyperfine states is studied. In mean field approximation, we give the phase diagram whose phase boundary only depends on the atomic…

Quantum Gases · Physics 2015-06-12 Ning-Ju Hui , Li-Hua Lu , Xiao-Qiang Xu , You-Quan Li

Quantum fluctuations are of central importance in itinerant ferromagnets; in the case of the Stoner Hamiltonian, with contact interactions, they deliver a rich phase diagram featuring a first order ferromagnetic transition preempted by a…

Strongly Correlated Electrons · Physics 2013-07-02 C. W. von Keyserlingk , G. J. Conduit