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We study the entanglement and Renyi entropies of two disjoint intervals in minimal models of conformal field theory. We use the conformal block expansion and fusion rules of twist fields to define a systematic expansion in the elliptic…

High Energy Physics - Theory · Physics 2015-06-03 M. A. Rajabpour , F. Gliozzi

It is known that a two-dimensional spin system can acquire a topological Hopf term by coupling to massless Dirac fermions whose energy spectrum has a single cone. But it is challenging to realize the Hopf term in condensed matter physics…

Strongly Correlated Electrons · Physics 2023-01-31 YanGuang Yue , ZhengXin Liu

We study localization properties of two-dimensional Dirac fermions subject to a power-law-correlated random vector potential describing, e.g., the effect of "ripples" in graphene. By using a variety of techniques (low-order perturbation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 D. V. Khveshchenko

Quantum spin liquids are phases of matter whose internal structure is not captured by a local order parameter. Particularly intriguing are critical spin liquids, where strongly interacting excitations control low energy properties. Here we…

Strongly Correlated Electrons · Physics 2011-08-05 Yi Zhang , Tarun Grover , Ashvin Vishwanath

Entanglement criteria for general (pure or mixed) states of systems consisting of two identical fermions are introduced. These criteria are based on appropriate inequalities involving the entropy of the global density matrix describing the…

Quantum Physics · Physics 2015-05-27 C. Zander , A. R. Plastino , M. Casas , A. Plastino

We study the entanglement entropy between a strip region with width $2R$ and its complement in strongly coupled large-$N$ conformal field theory (CFT) on $\mathbb{R}^{1,n}$ with chemical potential and angular momentum in an thermal…

High Energy Physics - Theory · Physics 2022-09-13 Po-Chun Sun

We analyse the entanglement entropy properties of a two-dimensional p-wave superconductor with Rashba spin-orbit coupling, which displays a rich phase-space that supports non-trivial topological phases, as the chemical potential and the…

Superconductivity · Physics 2015-03-18 T. P. Oliveira , P. Ribeiro , P. D. Sacramento

The so-called ``non-Fermi liquid'' behavior is very common in strongly correlated systems. However, its operational definition in terms of ``what it is not'' is a major obstacle against theoretical understanding of this fascinating…

Strongly Correlated Electrons · Physics 2015-05-27 Junping Shao , Eun-Ah Kim , F. D. M. Haldane , Edward H. Rezayi

R\'enyi entanglement entropy provides a new window to study the AdS/CFT correspondence. In this paper we consider the short interval expansion of R\'enyi entanglement entropy in two-dimensional conformal field theory. This amounts to do the…

High Energy Physics - Theory · Physics 2013-12-19 Bin Chen , Jia-ju Zhang

Computing the entanglement entropy in confining gauge theories is often accompanied by puzzles and ambiguities. In this work we show that compactifying the theory on a small circle $\mathbb S^1_L$ evades these difficulties. In particular,…

High Energy Physics - Theory · Physics 2018-10-09 Mohamed M. Anber , Benjamin J. Kolligs

The fermionic von Neumann entropy, the fermionic entanglement entropy and the fermionic relative entropy are defined for causal fermion systems. Our definition makes use of entropy formulas for quasi-free fermionic states in terms of the…

Mathematical Physics · Physics 2025-04-16 Felix Finster , Robert H. Jonsson , Magdalena Lottner , Albert Much , Simone Murro

We derive a general expression for the entropy per particle as a function of chemical potential, temperature and gap magnitude for the single layer transition metal dichalcogenides. The electronic excitations in these materials can be…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 V. O. Shubnyi , V. P. Gusynin , S. G. Sharapov , A. A. Varlamov

The fermionic R\'enyi entanglement entropy is studied for causal diamonds in two-dimensional Minkowski spacetime. Choosing the quasi-free state describing the Minkowski vacuum with an ultraviolet regularization, a logarithmically enhanced…

Mathematical Physics · Physics 2025-11-13 Felix Finster , Magdalena Lottner , Albert Much , Simone Murro

We compute, to two loops in pertubation theory, the fermionic contribution to rectangular RxT Wilson loops, for different values of R and T. We use the overlap fermionic action. We also employ the clover action, for comparison with existing…

High Energy Physics - Lattice · Physics 2016-09-01 A. Athenodorou , H. Panagopoulos

We compare two calculations of the particle density in the superfluid phase of the classical XY model with a chemical potential $\mu$ in 1+1 dimensions.The first relies on exact blocking formulas from the Tensor Renormalization Group (TRG)…

Statistical Mechanics · Physics 2016-01-26 Li-Ping Yang , Yuzhi Liu , Haiyuan Zou , Z. Y. Xie , Y. Meurice

The complicated ways in which electrons interact in many-body systems such as molecules and materials have long been viewed through the lens of local electron correlation and associated correlation functions. However, quantum information…

Strongly Correlated Electrons · Physics 2024-10-15 Tong Shen , Hatem Barghathi , Adrian Del Maestro , Brenda Rubenstein

We calculate the von Neumann and R\'enyi bipartite entanglement entropy of the $O(2)$ model with a chemical potential on a 1+1 dimensional Euclidean lattice with open and periodic boundary conditions. We show that the Calabrese-Cardy…

High Energy Physics - Lattice · Physics 2017-08-30 A. Bazavov , Y. Meurice , S. -W. Tsai , J. Unmuth-Yockey , Li-Ping Yang , Jin Zhang

The one-loop effective potential of a thermodynamic fermion loop under constant magnetic field is studied. As expected, it can be interpreted literally as a discretized sum of $(D-2)$-dimensional energy density above the Dirac sea.…

High Energy Physics - Theory · Physics 2009-10-30 H-T. Sato

We introduce a systematic framework to calculate the bipartite entanglement entropy of a spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. To show the wide range of applicability of…

Statistical Mechanics · Physics 2011-07-07 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

We discuss quantum entanglement between fast and slow degrees of freedom, in a two dimensional (2D) large $N_c$ gauge theory with Dirac quarks, quantized on the light front. Using the 't Hooft wave functions, we construct the reduced…

High Energy Physics - Phenomenology · Physics 2022-06-29 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed
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