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We propose an intuitively appealing formulation of the zero-temperature triangular lattice Ising antiferromagnet (TIAFM) on a cylinder as a model of noninteracting fermions hopping on a ring and evolving in imaginary time with pair…

Statistical Mechanics · Physics 2018-09-12 Amir Nourhani , Vincent H. Crespi , Paul E. Lammert

We investigate the spectral properties of the product of $M$ complex non-Hermitian random matrices that are obtained by removing $L$ rows and columns of larger unitary random matrices uniformly distributed on the group ${\rm U}(N+L)$. Such…

Mathematical Physics · Physics 2014-06-10 Gernot Akemann , Zdzislaw Burda , Mario Kieburg , Taro Nagao

Systems of interacting fermions can give rise to ground states whose correlations become effectively free-fermion-like in the thermodynamic limit, as shown by Baxter for a class of integrable models that include the one-dimensional XYZ…

Strongly Correlated Electrons · Physics 2022-07-21 Gabriel Matos , Andrew Hallam , Aydin Deger , Zlatko Papić , Jiannis Pachos

Correlated density matrix theory is generalized to investigate equilibrium properties of normal Fermi Liquids such as 3He and nuclear matter at nonzero temperatures. The results also generalize the Fermi-hypernetted-chain technique that is…

Strongly Correlated Electrons · Physics 2011-06-14 M. Serhan

Using ab initio lattice methods, we calculate the finite temperature thermodynamics of homogeneous two-dimensional spin-1/2 fermions with attractive short-range interactions. We present results for the density, pressure, compressibility,…

Quantum Gases · Physics 2015-09-16 E. R. Anderson , J. E. Drut

We demonstrate that cosmological observations place strong bounds on the reheat temperature $T_\text{RH}$ of the Standard Model (SM) in minimal models of `quirks' -- heavy fermions transforming under the SM gauge group together with a new…

High Energy Physics - Phenomenology · Physics 2025-12-25 Pouya Asadi , Graham D. Kribs , Markus A. Luty

It is well-known that the standard bulk-boundary correspondence does not hold for non-Hermitian systems in which also new phenomena such as exceptional points do occur. Here we study, mostly by analytical means, a paradigmatic…

Statistical Mechanics · Physics 2025-10-24 Yasamin Mardani , Rodrigo A. Pimenta , Jesko Sirker

Although the physical properties of the 2D and 1D Ising models are quite different, we point out an interesting connection between their complex-temperature phase diagrams. We carry out an exact determination of the complex-temperature…

High Energy Physics - Lattice · Physics 2009-10-28 Victor Matveev , Robert Shrock

The field of quantum simulations in ultra-cold atomic gases has been remarkably successful. In principle it allows for an exact treatment of a variety of highly relevant lattice models and their emergent phases of matter. But so far there…

Quantum Gases · Physics 2024-04-23 J. B. Profe , C. Honerkamp , D. M. Kennes

Demanding a consistent quantum field theory description of spin 1/2 particles near a circular Fermi surface in 2d leads to a unique fermionic theory with relevant quartic interactions which has an emergent Lorentz symmetry and automatically…

Strongly Correlated Electrons · Physics 2009-09-29 Eliot Kapit , André LeClair

We study a trapped two-dimensional spin-imbalanced Fermi gas over a range of temperatures. In the moderate temperature regime, associated with current experiments, we find reasonable semi-quantitative agreement with the measured density…

Quantum Gases · Physics 2016-09-09 Chien-Te Wu , Brandon M. Anderson , Rufus Boyack , K. Levin

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

We study SU(N) fermions in the limit of infinite on-site repulsion between all species. We focus on states in which every pair of consecutive fermions carries a different spin flavor. Since the particle order cannot be changed (because of…

Quantum Gases · Physics 2018-10-29 Yicheng Zhang , Lev Vidmar , Marcos Rigol

We show that, for non-interacting fermions under a monochromatic phase drive (Tien--Gordon regime), the outgoing sideband occupations at a sharp Fermi edge are governed by the discrete Bessel kernel -- an exact result at any drive…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Miguel Tierz

Unitary random matrix ensembles Z_{n,N}^{-1} (\det M)^alpha exp(-N Tr V(M)) dM defined on positive definite matrices M, where alpha > -1 and V is real analytic, have a hard edge at 0. The equilibrium measure associated with V typically…

Mathematical Physics · Physics 2010-07-30 Tom Claeys , Arno B. J. Kuijlaars

We consider a strongly interacting one-dimensional (1D) Bose-Fermi mixture confined in a harmonic trap. It consists of a Tonks-Girardeau (TG) gas (1D Bose gas with repulsive hard-core interactions) and of a non-interacting Fermi gas (1D…

Other Condensed Matter · Physics 2009-03-02 Bess Yiyuan Fang , Patrizia Vignolo , Christian Miniatura , Anna Minguzzi

We consider a system of interacting fermions in two dimensions beyond the second-order perturbation theory in the interaction. It is shown that the mass-shell singularities in the self-energy, arising already at the second order of the…

Strongly Correlated Electrons · Physics 2011-07-14 A. V. Chubukov , D. L. Maslov , S. Gangadharaiah , L. I. Glazman

Finite-temperature, grand-canonical computations based on field theory are widely applied in areas including condensed matter physics, ultracold atomic gas systems, and lattice gauge theory. However, these calculations have computational…

Strongly Correlated Electrons · Physics 2019-10-02 Yuan-Yao He , Hao Shi , Shiwei Zhang

We use methods of quantum field theory in toroidal topologies to study the $N$-component $D$-dimensional massive Gross-Neveu model, at zero and finite temperature, with compactified spatial coordinates. We discuss the behavior of the…

High Energy Physics - Theory · Physics 2015-06-04 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

This work presents the derivation of the large time and distance asymptotic behavior of the field-field correlation functions of impenetrable one-dimensional anyons at finite temperature. In the appropriate limits of the statistics…

Statistical Mechanics · Physics 2015-05-14 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin
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