Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice
We investigate the spin S=1/2 Heisenberg model on the body centered cubic lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor J1, second-neighbor J2, and third-neighbor J3 exchange interactions. The classical ground state phase diagram obtained by a Luttinger-Tisza analys...
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Veröffentlicht in: | Physical review. B 2019-07, Vol.100 (1), p.014420, Article 014420 |
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description | We investigate the spin S=1/2 Heisenberg model on the body centered cubic lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor J1, second-neighbor J2, and third-neighbor J3 exchange interactions. The classical ground state phase diagram obtained by a Luttinger-Tisza analysis is shown to host six different (noncollinear) helimagnetic orders in addition to ferromagnetic, Néel, stripe, and planar antiferromagnetic orders. Employing the pseudofermion functional renormalization group (PFFRG) method for quantum spins (S=1/2) we find an extended nonmagnetic region, and significant shifts to the classical phase boundaries and helimagnetic pitch vectors caused by quantum fluctuations, while no new long-range dipolar magnetic orders are stabilized. The nonmagnetic phase is found to disappear for S=1. We calculate the magnetic ordering temperatures from PFFRG and quantum Monte Carlo methods, and make comparisons to available data. |
doi_str_mv | 10.1103/PhysRevB.100.014420 |
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The classical ground state phase diagram obtained by a Luttinger-Tisza analysis is shown to host six different (noncollinear) helimagnetic orders in addition to ferromagnetic, Néel, stripe, and planar antiferromagnetic orders. Employing the pseudofermion functional renormalization group (PFFRG) method for quantum spins (S=1/2) we find an extended nonmagnetic region, and significant shifts to the classical phase boundaries and helimagnetic pitch vectors caused by quantum fluctuations, while no new long-range dipolar magnetic orders are stabilized. The nonmagnetic phase is found to disappear for S=1. 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B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ghosh, Pratyay</au><au>Müller, Tobias</au><au>Toldin, Francesco Parisen</au><au>Richter, Johannes</au><au>Narayanan, Rajesh</au><au>Thomale, Ronny</au><au>Reuther, Johannes</au><au>Iqbal, Yasir</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice</atitle><jtitle>Physical review. B</jtitle><date>2019-07-16</date><risdate>2019</risdate><volume>100</volume><issue>1</issue><spage>014420</spage><pages>014420-</pages><artnum>014420</artnum><issn>2469-9950</issn><eissn>2469-9969</eissn><abstract>We investigate the spin S=1/2 Heisenberg model on the body centered cubic lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor J1, second-neighbor J2, and third-neighbor J3 exchange interactions. The classical ground state phase diagram obtained by a Luttinger-Tisza analysis is shown to host six different (noncollinear) helimagnetic orders in addition to ferromagnetic, Néel, stripe, and planar antiferromagnetic orders. Employing the pseudofermion functional renormalization group (PFFRG) method for quantum spins (S=1/2) we find an extended nonmagnetic region, and significant shifts to the classical phase boundaries and helimagnetic pitch vectors caused by quantum fluctuations, while no new long-range dipolar magnetic orders are stabilized. The nonmagnetic phase is found to disappear for S=1. We calculate the magnetic ordering temperatures from PFFRG and quantum Monte Carlo methods, and make comparisons to available data.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevB.100.014420</doi><orcidid>https://orcid.org/0000-0003-0936-8947</orcidid></addata></record> |
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subjects | Antiferromagnetism Body centered cubic lattice Computer simulation Ferromagnetism Heisenberg theory Monte Carlo simulation Paramagnetism Phase diagrams Quantum phenomena Statistical models |
title | Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice |
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